SIAM Journal on Applied Dynamical Systems Short Title: SIAM J. Appl. Dyn. Syst. Publisher: Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA ISSN: 1536-0040/e Online: http://epubs.siam.org/loi/sjaday Comments: Journal; Indexed cover-to-cover; Published electronic only as of Vol. 1 (2002). Documents Indexed: 1,384 Publications (since 2002) References Indexed: 833 Publications with 35,946 References. all top 5 Latest Issues 23, No. 3 (2024) 23, No. 2 (2024) 23, No. 1 (2024) 22, No. 4 (2023) 22, No. 3 (2023) 22, No. 2 (2023) 22, No. 1 (2023) 21, No. 4 (2022) 21, No. 3 (2022) 21, No. 2 (2022) 21, No. 1 (2022) 20, No. 4 (2021) 20, No. 3 (2021) 20, No. 2 (2021) 20, No. 1 (2021) 19, No. 4 (2020) 19, No. 3 (2020) 19, No. 2 (2020) 19, No. 1 (2020) 18, No. 4 (2019) 18, No. 3 (2019) 18, No. 2 (2019) 18, No. 1 (2019) 17, No. 4 (2018) 17, No. 3 (2018) 17, No. 2 (2018) 17, No. 1 (2018) 16, No. 4 (2017) 16, No. 3 (2017) 16, No. 2 (2017) 16, No. 1 (2017) 15, No. 4 (2016) 15, No. 3 (2016) 15, No. 2 (2016) 15, No. 1 (2016) 14, No. 4 (2015) 14, No. 3 (2015) 14, No. 2 (2015) 14, No. 1 (2015) 13, No. 4 (2014) 13, No. 3 (2014) 13, No. 2 (2014) 13, No. 1 (2014) 12, No. 4 (2013) 12, No. 3 (2013) 12, No. 2 (2013) 12, No. 1 (2013) 11, No. 4 (2012) 11, No. 3 (2012) 11, No. 2 (2012) 11, No. 1 (2012) 10, No. 4 (2011) 10, No. 3 (2011) 10, No. 2 (2011) 10, No. 1 (2011) 9, No. 4 (2010) 9, No. 3 (2010) 9, No. 2 (2010) 9, No. 1 (2010) 8, No. 4 (2009) 8, No. 3 (2009) 8, No. 2 (2009) 8, No. 1 (2009) 7, No. 4 (2008) 7, No. 3 (2008) 7, No. 2 (2008) 7, No. 1 (2008) 6, No. 4 (2007) 6, No. 3 (2007) 6, No. 2 (2007) 6, No. 1 (2007) 5, No. 4 (2006) 5, No. 3 (2006) 5, No. 2 (2006) 5, No. 1 (2006) 4, No. 4 (2005) 4, No. 3 (2005) 4, No. 2 (2005) 4, No. 1 (2005) 3, No. 4 (2004) 3, No. 3 (2004) 3, No. 2 (2004) 3, No. 1 (2004) 2, No. 4 (2003) 2, No. 3 (2003) 2, No. 2 (2003) 2, No. 1 (2003) 1, No. 2 (2002) 1, No. 1 (2002) all top 5 Authors 24 Krauskopf, Bernd 18 Kutz, J. Nathan 18 Osinga, Hinke Maria 17 Champneys, Alan R. 17 Uldall Kristiansen, K. 15 Rubin, Jonathan E. 15 Ward, Michael J. 14 Golubitsky, Martin A. 13 Bressloff, Paul C. 13 Guckenheimer, John M. 13 Ha, Seung-Yeal 13 Meiss, James D. 13 Sandstede, Björn 12 Mireles-James, Jason D. 12 Mischaikow, Konstantin 12 Wechselberger, Martin 11 Lessard, Jean-Philippe 11 Rademacher, Jens Diederich Michael 10 de la Llave, Rafael 10 Hogan, S. John 10 Mezić, Igor 10 Porter, Mason Alexander 10 Wilson, Dan D. 9 Bollt, Erik M. 9 Doelman, Arjen 9 Kühn, Christian 9 Scheel, Arnd 9 Stewart, Ian Nicholas 8 Brunton, Steven L. 8 Ermentrout, Bard G. 8 Ermentrout, George Bard 8 Kilpatrick, Zachary P. 8 Kirk, Vivien 8 Knobloch, Edgar 8 Kolokolnikov, Theodore 8 Kuznetsov, Yuriĭ Aleksandrovich 8 Moehlis, Jeff 8 Pelinovsky, Dmitry Efimovich 8 Yorke, James Alan 7 Clément, Frédérique 7 Desroches, Mathieu 7 Gedeon, Tomáš 7 Holmes, Philip J. 7 Kevrekidis, Ioannis George 7 Kevrekidis, Panayotis G. 7 Postlethwaite, Claire M. 7 Rucklidge, Alastair M. 7 Sieber, Jan 7 Yanchuk, Sergiĭ Volodymyrovych 7 Zgliczyński, Piotr 6 Ashwin, Peter 6 Coombes, Stephen 6 Dullin, Holger R. 6 Jeffrey, Mike R. 6 Kopell, Nancy J. 6 Lloyd, David J. B. 6 Mrozek, Marian 6 Palacián, Jesús F. 6 Rowley, Clarence Worth 6 Starke, Jens 6 Terman, David Hillel 6 van den Berg, Jan Bouwe 6 Vidal, Claudio 6 Wilczak, Daniel 6 Yanguas, Patricia 5 Avitabile, Daniele 5 Balasuriya, Sanjeeva 5 Cors, Josep Maria 5 Cummins, Bree 5 Fetecau, Razvan C. 5 Folias, Stefanos E. 5 Froyland, Gary 5 Giesl, Peter 5 Gottwald, Georg A. 5 Hüls, Thorsten 5 Hupkes, Hermen Jan 5 Lee, Euiwoo 5 Lewis, Mark Alun 5 Lewis, Timothy J. 5 Neuberger, John M. 5 Pavliotis, Grigorios A. 5 Rom-Kedar, Vered 5 Rotstein, Horacio G. 5 M-Seara, Tere 5 Sieben, Nándor 5 Swift, James W. 5 Teixeira, Marco Antonio 5 Wanner, Thomas 5 Wayne, Clarence Eugene 5 Wulff, Claudia 4 Aguirre, Pablo 4 Atay, Fatihcan M. 4 Batko, Bogdan 4 Beck, Margaret 4 Belykh, Igor V. 4 Bertram, Richard 4 Beyn, Wolf-Jürgen 4 Blömker, Dirk 4 Booth, Victoria 4 Bose, Amitabha ...and 2,129 more Authors all top 5 Fields 785 Dynamical systems and ergodic theory (37-XX) 574 Ordinary differential equations (34-XX) 416 Biology and other natural sciences (92-XX) 319 Partial differential equations (35-XX) 191 Numerical analysis (65-XX) 177 Mechanics of particles and systems (70-XX) 95 Systems theory; control (93-XX) 83 Probability theory and stochastic processes (60-XX) 78 Fluid mechanics (76-XX) 46 Statistical mechanics, structure of matter (82-XX) 42 Computer science (68-XX) 41 Combinatorics (05-XX) 35 Operations research, mathematical programming (90-XX) 34 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 33 Optics, electromagnetic theory (78-XX) 32 Mechanics of deformable solids (74-XX) 30 Calculus of variations and optimal control; optimization (49-XX) 29 Statistics (62-XX) 27 Difference and functional equations (39-XX) 24 Integral equations (45-XX) 22 Operator theory (47-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 19 Classical thermodynamics, heat transfer (80-XX) 18 Information and communication theory, circuits (94-XX) 15 Geophysics (86-XX) 10 Approximations and expansions (41-XX) 9 Algebraic topology (55-XX) 9 Global analysis, analysis on manifolds (58-XX) 9 Quantum theory (81-XX) 8 Differential geometry (53-XX) 8 General topology (54-XX) 7 Convex and discrete geometry (52-XX) 7 Manifolds and cell complexes (57-XX) 6 Group theory and generalizations (20-XX) 5 Functional analysis (46-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Algebraic geometry (14-XX) 4 Measure and integration (28-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Commutative algebra (13-XX) 2 Field theory and polynomials (12-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,145 Publications have been cited 14,486 times in 9,154 Documents Cited by ▼ Year ▼ Basic reproduction numbers for reaction-diffusion epidemic models. Zbl 1259.35120 Wang, Wendi; Zhao, Xiao-Qiang 339 2012 Wave structure and nonlinear balances in a family of evolutionary PDEs. Zbl 1088.76531 Holm, Darryl D.; Staley, Martin F. 161 2003 Canonical discontinuous planar piecewise linear systems. Zbl 1242.34020 Freire, Emilio; Ponce, Enrique; Torres, Francisco 147 2012 On the critical coupling for Kuramoto oscillators. Zbl 1242.34096 Dörfler, Florian; Bullo, Francesco 144 2011 Symmetry groupoids and patterns of synchrony in coupled cell networks. Zbl 1089.34032 Stewart, Ian; Golubitsky, Martin; Pivato, Marcus 142 2003 Patterns of synchrony in coupled cell networks with multiple arrows. Zbl 1090.34030 Golubitsky, Martin; Stewart, Ian; Török, Andrei 134 2005 Existence and bifurcation of canards in \(\mathbb R^3\) in the case of a folded node. Zbl 1090.34047 Wechselberger, Martin 118 2005 Global synchronization of linearly hybrid coupled networks with time-varying delay. Zbl 1161.94011 Yu, Wenwu; Cao, Jinde; Lü, Jinhu 118 2008 Dynamic mode decomposition with control. Zbl 1334.65199 Proctor, Joshua L.; Brunton, Steven L.; Kutz, J. Nathan 112 2016 Ergodic theory, dynamic mode decomposition, and computation of spectral properties of the Koopman operator. Zbl 1381.37096 Arbabi, Hassan; Mezić, Igor 106 2017 Sufficient conditions for fast switching synchronization in time-varying network topologies. Zbl 1145.37345 Stilwell, Daniel J.; Bollt, Erik M.; Roberson, D. Gray 104 2006 Spatiotemporal dynamics of the diffusive mussel-algae model near Turing-Hopf bifurcation. Zbl 1382.35035 Song, Yongli; Jiang, Heping; Liu, Quan-Xing; Yuan, Yuan 82 2017 On the implementation of the 0-1 test for chaos. Zbl 1161.37054 Gottwald, Georg A.; Melbourne, Ian 81 2009 A vaccination model for transmission dynamics of influenza. Zbl 1067.92051 Alexander, M. E.; Bowman, C.; Moghadas, S. M.; Summers, R.; Gumel, A. B.; Sahai, B. M. 76 2004 Mixed-mode oscillations in three time-scale systems: a prototypical example. Zbl 1167.34346 Krupa, Martin; Popović, Nikola; Kopell, Nancy 73 2008 Neuronal networks with gap junctions: a study of piecewise linear planar neuron models. Zbl 1159.92008 Coombes, S. 71 2008 Nonlinear patterns in urban crime: hotspots, bifurcations, and suppression. Zbl 1282.91273 Short, M. B.; Bertozzi, A. L.; Brantingham, P. J. 70 2010 PDE methods for nonlocal models. Zbl 1088.34011 Laing, Carlo R.; Troy, William C. 68 2003 Classification of asymptotic behavior in a stochastic SIR model. Zbl 1343.34109 Dieu, N. T.; Nguyen, D. H.; Du, N. H.; Yin, G. 67 2016 Interacting Langevin diffusions: gradient structure and ensemble Kalman sampler. Zbl 1447.65119 Garbuno-Inigo, Alfredo; Hoffmann, Franca; Li, Wuchen; Stuart, Andrew M. 65 2020 A primer of swarm equilibria. Zbl 1255.35012 Bernoff, Andrew J.; Topaz, Chad M. 65 2011 Random attractors for delay parabolic equations with additive noise and deterministic nonautonomous forcing. Zbl 1317.60081 Wang, Xiaohu; Lu, Kening; Wang, Bixiang 65 2015 Localized hexagon patterns of the planar Swift-Hohenberg equation. Zbl 1168.35311 Lloyd, David J. B.; Sandstede, Björn; Avitabile, Daniele; Champneys, Alan R. 63 2008 Data-driven identification of parametric partial differential equations. Zbl 1456.65096 Rudy, Samuel; Alla, Alessandro; Brunton, Steven L.; Kutz, J. Nathan 60 2019 Singular Hopf bifurcation in systems with two slow variables. Zbl 1168.37025 Guckenheimer, John 60 2008 Evans functions for integral neural field equations with Heaviside firing rate function. Zbl 1067.92019 Coombes, S.; Owen, M. R. 58 2004 A discrete data assimilation scheme for the solutions of the two-dimensional Navier-Stokes equations and their statistics. Zbl 1362.35208 Foias, Ciprian; Mondaini, Cecilia F.; Titi, Edriss S. 58 2016 Global phase-locking in finite populations of phase-coupled oscillators. Zbl 1167.34330 Verwoerd, Mark; Mason, Oliver 58 2008 Defects in oscillatory media: toward a classification. Zbl 1059.37062 Sandstede, Björn; Scheel, Arnd 56 2004 A database schema for the analysis of global dynamics of multiparameter systems. Zbl 1186.37021 Arai, Zin; Kalies, William; Kokubu, Hiroshi; Mischaikow, Konstantin; Oka, Hiroe; Pilarczyk, Paweł 56 2009 Long period oscillations in a \(G_{0}\) model of hematopoietic stem cells. Zbl 1110.34050 Pujo-Menjouet, Laurent; Bernard, Samuel; Mackey, Michael C. 55 2005 Multiresolution dynamic mode decomposition. Zbl 1338.37121 Kutz, J. Nathan; Fu, Xing; Brunton, Steven L. 55 2016 A geometric approach to the global attractor conjecture. Zbl 1301.34063 Gopalkrishnan, Manoj; Miller, Ezra; Shiu, Anne 55 2014 \(R_0\) analysis of a spatiotemporal model for a stream population. Zbl 1252.35068 Mckenzie, H. W.; Jin, Y.; Jacobsen, J.; Lewis, M. A. 55 2012 The stability and dynamics of localized spot patterns in the two-dimensional Gray-Scott model. Zbl 1223.35033 Chen, W.; Ward, M. J. 55 2011 Projecting to a slow manifold: singularly perturbed systems and legacy codes. Zbl 1170.34343 Gear, C. W.; Kaper, T. J.; Kevrekidis, I. G.; Zagaris, A. 54 2005 A parameterization method for the computation of invariant tori and their whiskers in quasi-periodic maps: explorations and mechanisms for the breakdown of hyperbolicity. Zbl 1210.37062 Haro, A.; de la Llave, R. 54 2007 A computational and geometric approach to phase resetting curves and surfaces. Zbl 1216.34030 Guillamon, Antoni; Huguet, Gemma 53 2009 Breathing pulses in an excitatory neural network. Zbl 1058.92010 Folias, Stefanos E.; Bressloff, Paul C. 52 2004 HJB-POD-based feedback design for the optimal control of evolution problems. Zbl 1058.35061 Kunisch, K.; Volkwein, S.; Xie, L. 51 2004 Higher order dynamic mode decomposition. Zbl 1373.37169 Le Clainche, Soledad; Vega, José M. 51 2017 Nonsmooth Lagrangian mechanics and variational collision integrators. Zbl 1088.37045 Fetecau, R. C.; Marsden, J. E.; Ortiz, M.; West, M. 51 2003 Kink-antikink collisions in the \(\phi^4\) equation: the \(n\)-bounce resonance and the separatrix map. Zbl 1145.74370 Goodman, Roy H.; Haberman, Richard 51 2005 Linearly recurrent autoencoder networks for learning dynamics. Zbl 1489.65164 Otto, Samuel E.; Rowley, Clarence W. 50 2019 Complete entrainment of Lohe oscillators under attractive and repulsive couplings. Zbl 1310.34060 Choi, Sun-Ho; Ha, Seung-Yeal 50 2014 The forced van der Pol equation. I: The slow flow and its bifurcations. Zbl 1088.37504 Guckenheimer, John; Hoffman, Kathleen; Weckesser, Warren 50 2003 Power-law kinetics and determinant criteria for the preclusion of multistationarity in networks of interacting species. Zbl 1278.92012 Wiuf, Carsten; Feliu, Elisenda 50 2013 Random dynamical systems for stochastic evolution equations driven by multiplicative fractional Brownian noise with Hurst parameters \(H\in(1/3,1/2]\). Zbl 1336.60103 Garrido-Atienza, María J.; Lu, Kening; Schmalfuss, Björn 49 2016 Nondeterministic chaos, and the two-fold singularity in piecewise smooth flows. Zbl 1227.34044 Colombo, Alessandro; Jeffrey, Mike R. 48 2011 Freezing solutions of equivariant evolution equations. Zbl 1061.65078 Beyn, W.-J.; Thümmler, V. 46 2004 Chaos in the Hodgkin–Huxley model. Zbl 1002.92005 Guckenheimer, John; Oliva, Ricardo A. 45 2002 Uniform attractors for nonautonomous wave equations with nonlinear damping. Zbl 1210.35160 Sun, Chunyou; Cao, Daomin; Duan, Jinqiao 44 2007 Dynamics at a switching intersection: hierarchy, isonomy, and multiple sliding. Zbl 1310.34018 Jeffrey, Mike R. 42 2014 On computing the critical coupling coefficient for the Kuramoto model on a complete bipartite graph. Zbl 1167.34331 Verwoerd, Mark; Mason, Oliver 42 2009 The two-fold singularity of discontinuous vector fields. Zbl 1178.34042 Jeffrey, M. R.; Colombo, A. 42 2009 Bifurcations in delay differential equations and applications to tumor and immune system interaction models. Zbl 1284.34118 Bi, Ping; Ruan, Shigui 42 2013 Parameterization of invariant manifolds for periodic orbits. I: Efficient numerics via the Floquet normal form. Zbl 1376.37057 Castelli, Roberto; Lessard, Jean-Philippe; Mireles James, J. D. 41 2015 Asymptotic expansions of I-V relations via a Poisson-Nernst-Planck system. Zbl 1167.34361 Abaid, Nicole; Eisenberg, Robert S.; Liu, Weishi 41 2008 Asymptotic dynamics of attractive-repulsive swarms. Zbl 1168.92045 Leverentz, Andrew J.; Topaz, Chad M.; Bernoff, Andrew J. 41 2009 A collisionless singular Cucker-Smale model with decentralized formation control. Zbl 1432.34063 Choi, Young-Pil; Kalise, Dante; Peszek, Jan; Peters, Andrés A. 40 2019 To snake or not to snake in the planar Swift-Hohenberg equation. Zbl 1200.37014 Avitabile, Daniele; Lloyd, David J. B.; Burke, John; Knobloch, Edgar; Sandstede, Björn 40 2010 Wandering bumps in stochastic neural fields. Zbl 1278.92007 Kilpatrick, Zachary P.; Ermentrout, Bard 40 2013 Study of singularities in nonsmooth dynamical systems via singular perturbation. Zbl 1167.34304 Llibre, Jaume; Da Silva, Paulo R.; Teixeira, Marco A. 39 2009 On the state space geometry of the Kuramoto-Sivashinsky flow in a periodic domain. Zbl 1267.35027 Cvitanović, Predrag; Davidchack, Ruslan L.; Siminos, Evangelos 39 2010 Stationary coexistence of hexagons and rolls via rigorous computations. Zbl 1371.37036 van den Berg, Jan Bouwe; Deschênes, Andréa; Lessard, Jean-Philippe; Mireles James, Jason D. 38 2015 Stationary states and asymptotic behavior of aggregation models with nonlinear local repulsion. Zbl 1302.35386 Burger, Martin; Fetecau, Razvan; Huang, Yanghong 38 2014 Noise-induced behaviors in neural mean field dynamics. Zbl 1235.92016 Touboul, Jonathan; Hermann, Geoffroy; Faugeras, Olivier 38 2012 Continuation of quasi-periodic invariant tori. Zbl 1090.37057 Schilder, Frank; Osinga, Hinke M.; Vogt, Werner 37 2005 Rigorous numerics for global dynamics: a study of the Swift-Hohenberg equation. Zbl 1058.35050 Day, Sarah; Hiraoka, Yasuaki; Mischaikow, Konstantin; Ogawa, Toshiyuki 37 2005 Variable projection methods for an optimized dynamic mode decomposition. Zbl 1384.37122 Askham, Travis; Kutz, J. Nathan 36 2018 Computation of mixed type functional differential boundary value problems. Zbl 1090.65093 Abell, Kate A.; Elmer, Christopher E.; Humphries, A. R.; Van Vleck, Erik S. 36 2005 Computing one-dimensional stable manifolds and stable sets of planar maps without the inverse. Zbl 1059.37067 England, J. P.; Krauskopf, B.; Osinga, H. M. 36 2004 Integration of dissipative partial differential equations: a case study. Zbl 1298.37071 Arioli, Gianni; Koch, Hans 36 2010 The Melnikov method and subharmonic orbits in a piecewise-smooth system. Zbl 1262.37028 Granados, A.; Hogan, S. J.; Seara, T. M. 36 2012 Speeds of spread and propagation for KPP models in time almost and space periodic media. Zbl 1172.35423 Huang, Jianhua; Shen, Wenxian 36 2009 Homoclinic orbits of the FitzHugh-Nagumo equation: bifurcations in the full system. Zbl 1210.34060 Guckenheimer, John; Kuehn, Christian 36 2010 Poisson-Nernst-Planck systems for ion flow with a local hard-sphere potential for ion size effects. Zbl 1284.34078 Lin, Guojian; Liu, Weishi; Yi, Yingfei; Zhang, Mingji 36 2013 Neural fields with distributed transmission speeds and long-range feedback delays. Zbl 1210.34118 Atay, Fatihcan M.; Hutt, Axel 35 2006 \(R_0\) analysis of a benthic-drift model for a stream population. Zbl 1364.92059 Huang, Qihua; Jin, Yu; Lewis, Mark A. 35 2016 Front propagation in stochastic neural fields. Zbl 1246.92004 Bressloff, Paul C.; Webber, Matthew A. 35 2012 Computing slow manifolds of saddle type. Zbl 1176.37026 Guckenheimer, John; Kuehn, Christian 35 2009 Existence and stability of standing pulses in neural networks. I: Existence. Zbl 1109.34002 Guo, Yixin; Chow, Carson C. 34 2005 The stability of a stripe for the Gierer-Meinhardt model and the effect of saturation. Zbl 1210.35016 Kolokolnikov, Theodore; Sun, Wentao; Ward, Michael; Wei, Juncheng 34 2006 An efficient method for studying weak resonant double Hopf bifurcation in nonlinear systems with delayed feedbacks. Zbl 1210.34086 Xu, Jian; Chung, Kwok-Wai; Chan, Chuen-Lit 34 2007 Semistrong pulse interactions in a class of coupled reaction-diffusion equations. Zbl 1088.35517 Doelman, Arjen; Kaper, Tasso J. 34 2003 Neimark-Sacker bifurcations in planar, piecewise-smooth, continuous maps. Zbl 1159.37419 Simpson, D. J. W.; Meiss, J. D. 34 2008 TC-HAT (\(\widehat{TC}\)): a novel toolbox for the continuation of periodic trajectories in hybrid dynamical systems. Zbl 1192.34004 Thota, Phanikrishna; Dankowicz, Harry 34 2008 Local/global analysis of the stationary solutions of some neural field equations. Zbl 1194.92015 Veltz, Romain; Faugeras, Olivier 34 2010 An analytical approach to codimension-2 sliding bifurcations in the dry-friction oscillator. Zbl 1201.37086 Guardia, Marcel; Hogan, S. John; Seara, Tere M. 34 2010 Computation of limit cycles and their isochrons: fast algorithms and their convergence. Zbl 1291.37108 Huguet, Gemma; de la Llave, Rafael 34 2013 Dynamics of a time-delayed Lyme disease model with seasonality. Zbl 1365.35075 Wang, Xiunan; Zhao, Xiao-Qiang 33 2017 A computational method to extract macroscopic variables and their dynamics in multiscale systems. Zbl 1320.37012 Froyland, Gary; Gottwald, Georg A.; Hammerlindl, Andy 33 2014 Pseudospectral discretization of nonlinear delay equations: new prospects for numerical bifurcation analysis. Zbl 1352.34101 Breda, D.; Diekmann, O.; Gyllenberg, M.; Scarabel, F.; Vermiglio, R. 33 2016 Prey switching with a linear preference trade-off. Zbl 1348.37125 Piltz, Sofia H.; Porter, Mason A.; Maini, Philip K. 33 2014 Canard induced mixed-mode oscillations in a medial entorhinal cortex layer II stellate cell model. Zbl 1167.34353 Rotstein, Horacio G.; Wechselberger, Martin; Kopell, Nancy 33 2008 Random attractor for damped nonlinear wave equations with white noise. Zbl 1094.35154 Zhou, Shengfan; Yin, Fuqi; Ouyang, Zigen 33 2005 Some canonical bifurcations in the Swift-Hohenberg equation. Zbl 1210.34028 Peletier, L. A.; Williams, J. F. 33 2007 Rigorous a posteriori computation of (un)stable manifolds and connecting orbits for analytic maps. Zbl 1330.37029 Mireles James, J. D.; Mischaikow, Konstantin 33 2013 Fenichel theory for multiple time scale singular perturbation problems. Zbl 1373.34090 Cardin, Pedro Toniol; Teixeira, Marco Antonio 32 2017 Cooperative epidemic spreading on a two-layered interconnected network. Zbl 1395.68045 Wei, Xiang; Wu, Xiaoqun; Chen, Shihua; Lu, Jun-An; Chen, Guanrong 32 2018 Dynamics of controllable matter-wave solitons and soliton molecules for a Rabi-coupled Gross-Pitaevskii equation with temporally and spatially modulated coefficients. Zbl 1534.35351 Wang, Haotian; Yang, Hujiang; Meng, Xiankui; Tian, Ye; Liu, Wenjun 1 2024 Convergence of weak-SINDy surrogate models. Zbl 07837876 Russo, Benjamin P.; Laiu, M. Paul 1 2024 Discrepancy modeling framework: learning missing physics, modeling systematic residuals, and disambiguating between deterministic and random effects. Zbl 1532.68095 Ebers, Megan R.; Steele, Katherine M.; Kutz, J. Nathan 1 2024 Bifurcation analysis of Bogdanov-Takens bifurcations in delay differential equations. Zbl 07803217 Bosschaert, M. M.; Kuznetsov, Yu. A. 1 2024 Dynamics on hepatitis B virus infection in vivo with interval delay. Zbl 1532.92117 Zhong, Haonan; Wang, Kaifa 1 2024 Bistability of an HIV model with immune impairment. Zbl 07873801 Wang, Shaoli; Wang, Tengfei; Xu, Fei; Rong, Libin 1 2024 An organizing center of codimension four in a predator-prey model with generalist predator: from tristability and quadristability to transients in a nonlinear environmental change. Zbl 1520.34046 Lu, Min; Huang, Jicai; Wang, Hao 7 2023 Optimal phase-selective entrainment of heterogeneous oscillator ensembles. Zbl 1526.37091 Singhal, Bharat; Kiss, István Z.; Li, Jr-Shin 4 2023 Geometric singular perturbation analysis of the multiple-timescale Hodgkin-Huxley equations. Zbl 1522.34074 Kaklamanos, Panagiotis; Popović, Nikola; Kristiansen, Kristian U. 4 2023 Reaction network motifs for static and dynamic absolute concentration robustness. Zbl 1522.37091 Joshi, Badal; Craciun, Gheorghe 3 2023 Synchronization in temporal simplicial complexes. Zbl 07729135 Anwar, Md Sayeed; Ghosh, Dibakar 3 2023 Non-Markovian models of opinion dynamics on temporal networks. Zbl 1522.91185 Chu, Weiqi; Porter, Mason A. 3 2023 Critical transitions in \(d\)-concave nonautonomous scalar ordinary differential equations appearing in population dynamics. Zbl 1532.37076 Dueñas, Jesús; Núñez, Carmen; Obaya, Rafael 3 2023 Phase oscillator networks with nonlocal higher-order interactions: twisted states, stability, and bifurcations. Zbl 1523.35273 Bick, Christian; Böhle, Tobias; Kuehn, Christian 3 2023 Stability analysis of the immune system induced by chemotaxis. Zbl 1539.35012 Zheng, Pan; Shan, Wenhai; Liao, Guangyuan 3 2023 Optimal transport for parameter identification of chaotic dynamics via invariant measures. Zbl 1515.37100 Yang, Yunan; Nurbekyan, Levon; Negrini, Elisa; Martin, Robert; Pasha, Mirjeta 3 2023 Resonances and phase locking phenomena for foliation preserving torus maps. Zbl 1515.37060 He, Xiaolong; de la Llave, Rafael 3 2023 Source-only realizations, weakly reversible deficiency one networks, and dynamical equivalence. Zbl 1523.37046 Deshpande, Abhishek 2 2023 A case study of multiple wave solutions in a reaction-diffusion system using invariant manifolds and global bifurcations. Zbl 1523.37098 Villar-Sepúlveda, Edgardo; Aguirre, Pablo; Breña-Medina, Víctor F. 2 2023 Degenerate Turing bifurcation and the birth of localized patterns in activator-inhibitor systems. Zbl 07723356 Villar-Sepúlveda, Edgardo; Champneys, Alan 2 2023 Persistence of periodic orbits under state-dependent delayed perturbations: computer-assisted proofs. Zbl 1522.34094 Gimeno, Joan; Lessard, Jean-Philippe; Mireles James, J. D.; Yang, Jiaqi 2 2023 Breaking indecision in multiagent, multioption dynamics. Zbl 1520.91111 Franci, Alessio; Golubitsky, Martin; Stewart, Ian; Bizyaeva, Anastasia; Leonard, Naomi E. 2 2023 Fast adjoint algorithm for linear responses of hyperbolic chaos. Zbl 1532.37071 Ni, Angxiu 2 2023 Enlarged numerical attractors for lattice systems with porous media degeneracies. Zbl 1526.37085 Li, Yangrong; Wang, Fengling; Kloeden, Peter 2 2023 Fronts in the wake of a parameter ramp: slow passage through pitchfork and fold bifurcations. Zbl 07741159 Goh, Ryan; Kaper, Tasso J.; Scheel, Arnd; Vo, Theodore 2 2023 Continuation with noninvasive control schemes: revealing unstable states in a pedestrian evacuation scenario. Zbl 07674585 Panagiotopoulos, Ilias; Starke, Jens; Sieber, Jan; Just, Wolfram 2 2023 Equilibria analysis of a networked bivirus epidemic model using Poincaré-Hopf and manifold theory. Zbl 1528.34042 Anderson, Brian D. O.; Ye, Mengbin 1 2023 Regression-based projection for learning Mori-Zwanzig operators. Zbl 1532.37073 Lin, Yen Ting; Tian, Yifeng; Perez, Danny; Livescu, Daniel 1 2023 Variational principles on geometric rough paths and the Lévy area correction. Zbl 1515.60181 Diamantakis, Theo; Holm, Darryl D.; Pavliotis, Grigorios A. 1 2023 Mixed-mode oscillations in coupled Fitzhugh-Nagumo oscillators: blow-up analysis of cusped singularities. Zbl 1521.34058 Kristiansen, Kristian Uldall; Pedersen, Morten Gram 1 2023 Koopman operator inspired nonlinear system identification. Zbl 1523.37088 Wilson, Dan 1 2023 On a finite-size neuronal population equation. Zbl 1515.60146 Schmutz, Valentin; Löcherbach, Eva; Schwalger, Tilo 1 2023 Decomposition of admissible functions in weighted coupled cell networks. Zbl 1535.90034 Sequeira, Pedro M.; Hespanha, João P.; Pedro Aguiar, A. 1 2023 Toward convectons in the supercritical regime: homoclinic snaking in natural doubly diffusive convection. Zbl 07723357 Tumelty, J.; Beaume, Cedric; Rucklidge, Alastair M. 1 2023 Learning to forecast dynamical systems from streaming data. Zbl 1522.37089 Giannakis, Dimitrios; Henriksen, Amelia; Tropp, Joel A.; Ward, Rachel 1 2023 A pulsed-precipitation model of dryland vegetation pattern formation. Zbl 1518.35071 Gandhi, Punit; Liu, Lily; Silber, Mary 1 2023 Arnold diffusion in a model of dissipative system. Zbl 1526.37077 Akingbade, Samuel W.; Gidea, Marian; M-Seara, Tere 1 2023 Parameter region for multistationarity in \(n\) site phosphorylation networks. Zbl 1520.92032 Feliu, Elisenda; Kaihnsa, Nidhi; de Wolff, Timo; Yürük, Oğuzhan 1 2023 Rate-induced tipping in heterogeneous reaction-diffusion systems: an invariant manifold framework and geographically shifting ecosystems. Zbl 1532.37077 Hasan, Cris R.; Cárthaigh, Ruaidhrí Mac; Wieczorek, Sebastian 1 2023 Low-order parametric state-space modeling of MIMO systems in the Loewner framework. Zbl 1530.93076 Vojkovic, Tea; Quero, David; Poussot-Vassal, Charles; Vuillemin, Pierre 1 2023 Organization of spatially localized structures near a codimension-three cusp-Turing bifurcation. Zbl 1527.35052 Parra-Rivas, Pedro; Champneys, Alan R.; Al Saadi, Fahad; Gomila, Damia; Knobloch, Edgar 1 2023 Stability of equilibrium points in the spatially restricted \(N+1\)-body problem with Manev potential. Zbl 1530.70012 Ascencio, Mauricio; Barrabés, Esther; Cors, Josep M.; Vidal, Claudio 1 2023 A posteriori validation of generalized polynomial chaos expansions. Zbl 1530.37103 Breden, Maxime 1 2023 Equilibria in Kuramoto oscillator networks: an algebraic approach. Zbl 1522.34064 Nguyen, Tung T.; Budzinski, Roberto C.; Ðoàn, Jacqueline; Pasini, Federico W.; Mináč, Ján; Muller, Lyle E. 1 2023 The adaptive spectral Koopman method for dynamical systems. Zbl 1522.65116 Li, Bian; Ma, Yian; Kutz, J. Nathan; Yang, Xiu 1 2023 Long-term behaviour of asymptotically autonomous Hamiltonian systems with multiplicative noise. Zbl 1522.34082 Sultanov, Oskar A. 1 2023 Sustainability or societal collapse: dynamics and bifurcations of the HANDY model. Zbl 1525.37093 Tonnelier, Arnaud 1 2023 Extinction of multiple populations and a team of die-out Lyapunov functions. Zbl 1528.37073 Akhavan, Naghmeh; Yorke, James A. 1 2023 Hopf bifurcations of reaction networks with zero-one stoichiometric coefficients. Zbl 1522.92027 Tang, Xiaoxian; Wang, Kaizhang 1 2023 Order and disorder in a cyclically competitive ecological community. Zbl 1512.35062 Stiadle, Thomas I.; Bayliss, Alvin; Volpert, Vladimir A. 1 2023 Angular values of nonautonomous linear dynamical systems. II: Reduction theory and algorithm. Zbl 1515.37102 Beyn, Wolf-Jürgen; Hüls, Thorsten 1 2023 Hyperdissipative Navier-Stokes equations driven by time-dependent forces: invariant manifolds. Zbl 1538.37039 Wang, Rong-Nian; Zhao, Jia-Cheng; Miranville, Alain 1 2023 The asymptotic frequency of stochastic oscillators. Zbl 1511.60114 Adams, Zachary P. 1 2023 Path-based divergence rates and Lagrangian uncertainty in stochastic flows. Zbl 1515.37008 Branicki, Michał; Uda, Kenneth 1 2023 On a competition-diffusion-advection system from river ecology: mathematical analysis and numerical study. Zbl 1484.35034 Yan, Xiao; Nie, Hua; Zhou, Peng 26 2022 Local and global existence for nonlocal multispecies advection-diffusion models. Zbl 1494.35002 Giunta, Valeria; Hillen, Thomas; Lewis, Mark; Potts, Jonathan R. 12 2022 Modeling multilane traffic with moving obstacles by nonlocal balance laws. Zbl 1497.35315 Bayen, Alexandre; Friedrich, Jan; Keimer, Alexander; Pflug, Lukas; Veeravalli, Tanya 10 2022 An adaptive phase-amplitude reduction framework without \(\mathcal{O}(\epsilon)\) constraints on inputs. Zbl 1490.34045 Wilson, Dan 10 2022 A dynamical theory for singular stochastic delay differential equations. I: Linear equations and a multiplicative ergodic theorem on fields of Banach spaces. Zbl 1490.34103 Varzaneh, M. Ghani; Riedel, S.; Scheutzow, M. 6 2022 Graphop mean-field limits for Kuramoto-type models. Zbl 1483.35270 Gkogkas, Marios Antonios; Kuehn, Christian 6 2022 Derivative-free Bayesian inversion using multiscale dynamics. Zbl 1493.62132 Pavliotis, G. A.; Stuart, A. M.; Vaes, U. 5 2022 Emergent behaviors of rotation matrix flocks. Zbl 1513.70057 Fetecau, Razvan C.; Ha, Seung-Yeal; Park, Hansol 5 2022 Dynamics of small particle inertial migration in curved square ducts. Zbl 1486.76098 Ha, Kyung; Harding, Brendan; Bertozzi, Andrea L.; Stokes, Yvonne M. 5 2022 A bounded-confidence model of opinion dynamics on hypergraphs. Zbl 1482.91163 Hickok, Abigail; Kureh, Yacoub; Brooks, Heather Z.; Feng, Michelle; Porter, Mason A. 5 2022 Stability of cycles in a game of Rock-Scissors-Paper-Lizard-Spock. Zbl 1509.34045 Castro, Sofia B. S. D.; Ferreira, Ana; Garrido-da-Silva, Liliana; Labouriau, Isabel S. 5 2022 Canards underlie both electrical and \(\mathrm{Ca}^{2+}\)-induced early afterdepolarizations in a model for cardiac myocytes. Zbl 1498.37129 Kimrey, Joshua; Vo, Theodore; Bertram, Richard 4 2022 Modulation and amplitude equations on bounded domains for nonlinear SPDEs driven by cylindrical \(\alpha\)-stable Lévy processes. Zbl 1492.60197 Yuan, Shenglan; Bloemker, Dirk 4 2022 Limitations and improvements of the intelligent driver model (IDM). Zbl 1512.90062 Albeaik, Saleh; Bayen, Alexandre; Chiri, Maria Teresa; Gong, Xiaoqian; Hayat, Amaury; Kardous, Nicolas; Keimer, Alexander; McQuade, Sean T.; Piccoli, Benedetto; You, Yiling 4 2022 Efficient computation of linear response of chaotic attractors with one-dimensional unstable manifolds. Zbl 1497.37103 Chandramoorthy, Nisha; Wang, Qiqi 4 2022 Stochastically adaptive control and synchronization: from globally one-sided Lipschitzian to only locally Lipschitzian systems. Zbl 1492.60182 Zhou, Shijie; Lai, Ying-Cheng; Lin, Wei 4 2022 Eigenfunction martingale estimators for interacting particle systems and their mean field limit. Zbl 1505.35334 Pavliotis, Grigorios A.; Zanoni, Andrea 4 2022 Bifurcations and dynamics in inertial focusing of particles in curved rectangular ducts. Zbl 1503.76041 Valani, Rahil N.; Harding, Brendan; Stokes, Yvonne M. 4 2022 Bulk topological states in a new collective dynamics model. Zbl 1515.70009 Degond, Pierre; Diez, Antoine; Na, Mingye 3 2022 Sequential attractors in combinatorial threshold-linear networks. Zbl 1491.92037 Parmelee, Caitlyn; Alvarez, Juliana Londono; Curto, Carina; Morrison, Katherine 3 2022 Bifurcation sequences in a discontinuous piecewise-smooth map combining constant-catch and threshold-based harvesting strategies. Zbl 1484.92077 Lois-Prados, Cristina; Hilker, Frank M. 3 2022 Anti-integrability for three-dimensional quadratic maps. Zbl 1528.37056 Hampton, Amanda E.; Meiss, James D. 3 2022 Persistence of Conley-Morse graphs in combinatorial dynamical systems. Zbl 1498.37069 Dey, Tamal K.; Mrozek, Marian; Slechta, Ryan 3 2022 Dynamical analysis and optimization of a generalized resource allocation model of microbial growth. Zbl 1490.37114 Yabo, Agustín G.; Caillau, Jean-Baptiste; Gouzé, Jean-Luc; de Jong, Hidde; Mairet, Francis 3 2022 Neuron scale modeling of Prion production with the unfolded protein response. Zbl 1509.34086 Adimy, Mostafa; Babin, Louis; Pujo-Menjouet, Laurent 3 2022 Ensemble inference methods for models with noisy and expensive likelihoods. Zbl 1493.62124 Dunbar, Oliver R. A.; Duncan, Andrew B.; Stuart, Andrew M.; Wolfram, Marie-Therese 2 2022 Validated spectral stability via conjugate points. Zbl 1494.37046 Beck, Margaret; Jaquette, Jonathan 2 2022 Optimal energy shaping via neural approximators. Zbl 07589183 Massaroli, Stefano; Poli, Michael; Califano, Federico; Park, Jinkyoo; Yamashita, Atsushi; Asama, Hajime 2 2022 Dynamics of \(N\)-spot rings with oscillatory tails in a three-component reaction-diffusion system. Zbl 1497.35301 Nishiura, Yasumasa; Xie, Shuangquan 2 2022 Angular values of nonautonomous and random linear dynamical systems. I: Fundamentals. Zbl 1498.37040 Beyn, Wolf-Jürgen; Froyland, Gary; Hüls, Thorsten 2 2022 Poisson structure and reduction by stages of the full gravitational \(N\)-body problem. Zbl 1505.70033 Crespo, Francisco; Turner, Edward A. 2 2022 Numerical computation of high-order expansions of invariant manifolds of high-dimensional tori. Zbl 1503.37085 Gimeno, Joan; Jorba, Àngel; Nicolás, Begoña; Olmedo, Estrella 2 2022 Bifurcations of sleep patterns due to homeostatic and circadian variation in a sleep-wake flip-flop model. Zbl 1497.92017 Athanasouli, Christina; Piltz, Sofia H.; Diniz Behn, Cecilia G.; Booth, Victoria 2 2022 Robust approximation of the stochastic Koopman operator. Zbl 1503.37086 Wanner, Mathias; Mezić, Igor 2 2022 Rotating waves of nonlocally coupled oscillators on the annulus. Zbl 1501.70007 Ding, Yujie; Ermentrout, Bard 2 2022 Process-oriented geometric singular perturbation theory and calcium dynamics. Zbl 1497.34060 Jelbart, Samuel; Pages, Nathan; Kirk, Vivien; Sneyd, James; Wechselberger, Martin 2 2022 Perception of fundamental values and financial market dynamics: mathematical insights from a 2D piecewise linear map. Zbl 1509.37134 Gardini, Laura; Radi, Davide; Schmitt, Noemi; Sushko, Iryna; Westerhoff, Frank 2 2022 Periodic waves of the modified KdV equation as minimizers of a new variational problem. Zbl 1503.35200 Le, Uyen; Pelinovsky, Dmitry E. 2 2022 Hausdorff continuity of region of attraction boundary under parameter variation with application to disturbance recovery. Zbl 1495.37027 Fisher, Michael W.; Hiskens, Ian A. 1 2022 Extending combinatorial regulatory network modeling to include activity control and decay modulation. Zbl 1498.92086 Cummins, Bree; Gameiro, Marcio; Gedeon, Tomas; Kepley, Shane; Mischaikow, Konstantin; Zhang, Lun 1 2022 Uncertainty propagation for general stochastic hybrid systems on compact Lie groups. Zbl 1498.93335 Wang, Weixin; Lee, Taeyoung 1 2022 A graph-theoretic condition for delay stability of reaction systems. Zbl 1500.34073 Yu, Polly Y.; Craciun, Gheorghe; Mincheva, Maya; Pantea, Casian 1 2022 Reactivity, attenuation, and transients in metapopulations. Zbl 1492.92059 Harrington, Peter D.; Lewis, Mark A.; van den Driessche, P. 1 2022 Dynamics of nonpolar solutions to the discrete Painlevé I equation. Zbl 1506.39013 Ercolani, Nicholas; Lega, Joceline; Tippings, Brandon 1 2022 Multistability of reaction networks with one-dimensional stoichiometric subspaces. Zbl 1492.92028 Tang, Xiaoxian; Zhang, Zhishuo 1 2022 Dynamical organization of recollisions by a family of invariant tori. Zbl 1536.37058 Dubois, J.; Jorba-Cuscó, M.; Jorba, À.; Chandre, C. 1 2022 ...and 1045 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 11,249 Authors 104 Ha, Seung-Yeal 63 Llibre, Jaume 50 Kühn, Christian 49 Lessard, Jean-Philippe 48 Krauskopf, Bernd 48 Ward, Michael J. 44 Mireles-James, Jason D. 43 Kevrekidis, Ioannis George 41 Osinga, Hinke Maria 39 Kutz, J. Nathan 38 Scheel, Arnd 37 Bressloff, Paul C. 36 Sandstede, Björn 35 Brunton, Steven L. 34 Rubin, Jonathan E. 34 Stewart, Ian Nicholas 33 Carrillo de la Plata, José Antonio 33 Kevrekidis, Panayotis G. 33 Wechselberger, Martin 31 Uldall Kristiansen, K. 29 Craciun, Gheorghe 29 Mezić, Igor 29 Pelinovsky, Dmitry Efimovich 29 Wang, Hao 29 Wei, Juncheng 28 de la Llave, Rafael 28 Novaes, Douglas Duarte 28 Park, Hansol 28 Teixeira, Marco Antonio 28 Zhao, Xiao-Qiang 27 Hupkes, Hermen Jan 26 Desroches, Mathieu 26 Kim, Dohyun 26 Laing, Carlo R. 26 Simpson, David John Warwick 25 Coombes, Stephen 25 Mischaikow, Konstantin 25 Shen, Wenxian 24 Jeffrey, Mike R. 24 Knobloch, Edgar 24 van den Berg, Jan Bouwe 23 Cao, Jinde 23 de Carvalho, Tiago 23 Doelman, Arjen 23 Duan, Jinqiao 23 Ghosh, Dibakar 23 Kolokolnikov, Theodore 23 Ponce, Enrique 23 Wang, Jinliang 22 Adimy, Mostafa 22 Chen, Guanrong 22 Moehlis, Jeff 22 van Heijster, Peter 22 Wilson, Dan D. 21 Ashwin, Peter 21 Belykh, Igor V. 21 Bollt, Erik M. 21 Dias, Ana Paula S. 21 Porfiri, Maurizio 21 Rademacher, Jens Diederich Michael 21 Wang, Bixiang 20 Balasuriya, Sanjeeva 20 Fetecau, Razvan C. 20 Golubitsky, Martin A. 20 Huang, Lihong 20 Kaper, Tasso J. 20 Kilpatrick, Zachary P. 20 Zgliczyński, Piotr 20 Zhang, Mingji 19 Aguiar, Manuela A. D. 19 Gao, Hongjun 19 Kurths, Jürgen 19 Lawley, Sean D. 19 Sherratt, Jonathan A. 19 Song, Yongli 19 Yanchuk, Sergiĭ Volodymyrovych 18 Bi, Qinsheng 18 Blömker, Dirk 18 Faye, Grégory 18 Gedeon, Tomáš 18 Li, Yangrong 18 Teng, Zhi-dong 18 Vo, Theodore 18 Wanner, Thomas 18 Zhang, Xiang 17 Feliu, Elisenda 17 Gardini, Laura 17 Giannakis, Dimitrios 17 Liu, Weishi 17 Meiss, James D. 17 Shi, Junping 17 Wang, Renhai 16 Bick, Christian 16 Bramburger, Jason J. 16 Carter, Paul M. 16 Froyland, Gary 16 Li, Shimin 16 Marangell, Robert 16 Mrozek, Marian 16 Peherstorfer, Benjamin ...and 11,149 more Authors all top 5 Cited in 554 Journals 547 SIAM Journal on Applied Dynamical Systems 522 Chaos 461 Physica D 344 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 334 Journal of Differential Equations 239 Communications in Nonlinear Science and Numerical Simulation 226 Discrete and Continuous Dynamical Systems. Series B 217 Journal of Nonlinear Science 175 Nonlinearity 152 Journal of Mathematical Biology 146 Nonlinear Dynamics 142 Journal of Mathematical Analysis and Applications 138 Journal of Dynamics and Differential Equations 137 Journal of Computational Physics 126 Bulletin of Mathematical Biology 116 Journal of Fluid Mechanics 115 Chaos, Solitons and Fractals 115 SIAM Journal on Applied Mathematics 112 Nonlinear Analysis. Real World Applications 110 Applied Mathematics and Computation 94 Automatica 93 Discrete and Continuous Dynamical Systems 90 Mathematical Methods in the Applied Sciences 81 Journal of Theoretical Biology 78 Mathematical Biosciences and Engineering 71 Qualitative Theory of Dynamical Systems 69 SIAM Journal on Mathematical Analysis 67 Journal of Mathematical Physics 64 Mathematical Biosciences 62 Applied Mathematics Letters 60 Journal of Statistical Physics 60 Journal of Computational and Applied Mathematics 56 The Journal of Mathematical Neuroscience 55 Physics Letters. A 54 Physica A 53 Computer Methods in Applied Mechanics and Engineering 51 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 50 SIAM Journal on Scientific Computing 50 Journal of Computational Neuroscience 49 Discrete and Continuous Dynamical Systems. Series S 48 Biological Cybernetics 48 ZAMP. Zeitschrift für angewandte Mathematik und Physik 47 Celestial Mechanics and Dynamical Astronomy 47 Regular and Chaotic Dynamics 43 Journal of the Franklin Institute 43 Studies in Applied Mathematics 43 Applied Mathematical Modelling 43 Journal of Physics A: Mathematical and Theoretical 42 Computers & Mathematics with Applications 42 Communications on Pure and Applied Analysis 41 Journal of Computational Dynamics 40 European Journal of Applied Mathematics 39 Mathematics and Computers in Simulation 38 Dynamical Systems 35 Applicable Analysis 33 Archive for Rational Mechanics and Analysis 33 Communications in Mathematical Physics 33 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 33 Journal of Difference Equations and Applications 33 Nonlinear Analysis. Hybrid Systems 32 SIAM Journal on Control and Optimization 32 Mathematical Modelling of Natural Phenomena 32 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 30 Acta Applicandae Mathematicae 30 Neural Computation 29 Systems & Control Letters 28 International Journal of Robust and Nonlinear Control 27 Abstract and Applied Analysis 26 Proceedings of the American Mathematical Society 26 Networks and Heterogeneous Media 26 International Journal of Biomathematics 26 Journal of Applied Analysis and Computation 25 Journal of Biological Dynamics 24 SIAM Journal on Numerical Analysis 24 SIAM Review 24 Stochastics and Dynamics 24 Advances in Difference Equations 23 Mathematical Problems in Engineering 23 Multiscale Modeling & Simulation 23 SIAM/ASA Journal on Uncertainty Quantification 23 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 22 Quarterly of Applied Mathematics 21 Applied Numerical Mathematics 21 Journal of Scientific Computing 21 Journal of Mathematical Chemistry 20 Japan Journal of Industrial and Applied Mathematics 20 Advances in Computational Mathematics 20 Kinetic and Related Models 19 Journal of Statistical Mechanics: Theory and Experiment 18 Inverse Problems 18 Numerische Mathematik 18 Neural Networks 16 International Journal for Numerical Methods in Engineering 16 Transactions of the American Mathematical Society 16 Complexity 16 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 15 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 15 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 15 Discrete Dynamics in Nature and Society 15 Foundations of Computational Mathematics ...and 454 more Journals all top 5 Cited in 61 Fields 2,896 Ordinary differential equations (34-XX) 2,851 Biology and other natural sciences (92-XX) 2,833 Dynamical systems and ergodic theory (37-XX) 2,747 Partial differential equations (35-XX) 1,083 Numerical analysis (65-XX) 848 Systems theory; control (93-XX) 667 Mechanics of particles and systems (70-XX) 625 Fluid mechanics (76-XX) 599 Probability theory and stochastic processes (60-XX) 340 Statistical mechanics, structure of matter (82-XX) 317 Computer science (68-XX) 239 Calculus of variations and optimal control; optimization (49-XX) 233 Mechanics of deformable solids (74-XX) 230 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 204 Statistics (62-XX) 203 Operations research, mathematical programming (90-XX) 171 Combinatorics (05-XX) 171 Operator theory (47-XX) 141 Integral equations (45-XX) 140 Difference and functional equations (39-XX) 123 Information and communication theory, circuits (94-XX) 119 Quantum theory (81-XX) 108 Optics, electromagnetic theory (78-XX) 96 Classical thermodynamics, heat transfer (80-XX) 80 Geophysics (86-XX) 78 Global analysis, analysis on manifolds (58-XX) 69 Differential geometry (53-XX) 59 Real functions (26-XX) 55 Linear and multilinear algebra; matrix theory (15-XX) 36 Approximations and expansions (41-XX) 31 Algebraic topology (55-XX) 28 Functional analysis (46-XX) 25 Commutative algebra (13-XX) 24 Algebraic geometry (14-XX) 23 General and overarching topics; collections (00-XX) 21 Relativity and gravitational theory (83-XX) 20 Harmonic analysis on Euclidean spaces (42-XX) 20 Convex and discrete geometry (52-XX) 19 Measure and integration (28-XX) 19 Special functions (33-XX) 16 Astronomy and astrophysics (85-XX) 15 Manifolds and cell complexes (57-XX) 14 Order, lattices, ordered algebraic structures (06-XX) 14 General topology (54-XX) 11 Field theory and polynomials (12-XX) 11 Group theory and generalizations (20-XX) 9 Number theory (11-XX) 8 Topological groups, Lie groups (22-XX) 7 Functions of a complex variable (30-XX) 7 Potential theory (31-XX) 6 Mathematical logic and foundations (03-XX) 5 History and biography (01-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Integral transforms, operational calculus (44-XX) 4 Geometry (51-XX) 3 Nonassociative rings and algebras (17-XX) 2 Associative rings and algebras (16-XX) 2 Category theory; homological algebra (18-XX) 2 Mathematics education (97-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) Citations by Year