## 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: Indexed cover-to-cover; Published electronic only as of Vol. 1 (2002).
 Documents Indexed: 1,189 Publications (since 2002) References Indexed: 638 Publications with 27,117 References.
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### Latest Issues

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### Authors

 24 Krauskopf, Bernd 18 Osinga, Hinke Maria 14 Rubin, Jonathan E. 14 Uldall Kristiansen, K. 14 Ward, Michael J. 13 Bressloff, Paul C. 13 Champneys, Alan R. 13 Guckenheimer, John M. 13 Kutz, J. Nathan 12 Golubitsky, Martin A. 12 Ha, Seung-Yeal 12 Meiss, James D. 11 Mischaikow, Konstantin 11 Wechselberger, Martin 10 Rademacher, Jens Diederich Michael 10 Sandstede, Björn 9 de la Llave, Rafael 9 Doelman, Arjen 9 Hogan, S. John 9 Mireles-James, Jason D. 8 Bollt, Erik M. 8 Brunton, Steven L. 8 Ermentrout, Bard G. 8 Kirk, Vivien 8 Kolokolnikov, Theodore 8 Lessard, Jean-Philippe 8 Mezić, Igor 8 Moehlis, Jeff 8 Porter, Mason Alexander 7 Desroches, Mathieu 7 Gedeon, Tomáš 7 Holmes, Philip J. 7 Kevrekidis, Ioannis George 7 Kevrekidis, Panayotis G. 7 Kilpatrick, Zachary P. 7 Knobloch, Edgar 7 Pelinovsky, Dmitry Efimovich 7 Postlethwaite, Claire M. 7 Wilson, Dan D. 7 Zgliczyński, Piotr 6 Ashwin, Peter 6 Clément, Frédérique 6 Coombes, Stephen 6 Dullin, Holger R. 6 Kopell, Nancy J. 6 Kühn, Christian 6 Palacián, Jesús F. 6 Rucklidge, Alastair M. 6 Scheel, Arnd 6 Stewart, Ian Nicholas 6 van den Berg, Jan Bouwe 6 Wilczak, Daniel 6 Yanchuk, Sergiĭ Volodymyrovych 6 Yanguas, Patricia 6 Yorke, James Alan 5 Avitabile, Daniele 5 Colombo, Alessandro G. 5 Cummins, Bree 5 Fetecau, Razvan C. 5 Folias, Stefanos E. 5 Froyland, Gary 5 Gottwald, Georg A. 5 Kuznetsov, Yuri Alexandrovich 5 Lewis, Mark Alun 5 Lewis, Timothy J. 5 Lloyd, David J. B. 5 Mrozek, Marian 5 Rom-Kedar, Vered 5 Rotstein, Horacio G. 5 Rowley, Clarence W. 5 Sieber, Jan 5 Teixeira, Marco Antonio 5 Wanner, Thomas 5 Wayne, Clarence Eugene 5 Wulff, Claudia 4 Atay, Fatihcan M. 4 Balasuriya, Sanjeeva 4 Beck, Margaret 4 Bertram, Richard 4 Booth, Victoria 4 Bose, Amitabha 4 Buono, Pietro-Luciano 4 Capinski, Maciej J. 4 Chow, Carson C. 4 Cors, Josep Maria 4 Dankowicz, Harry J. 4 Dawes, Jonathan H. P. 4 Day, Sarah L. 4 di Bernardo, Mario 4 Dias, Ana Paula S. 4 Diniz Behn, Cecilia G. 4 Faye, Grégory 4 Giesl, Peter 4 Hüls, Thorsten 4 Hupkes, Hermen Jan 4 Jeffrey, Mike R. 4 Keener, James P. 4 Kim, Dohyun 4 Laing, Carlo R. 4 Li, Zhuchun ...and 1,784 more Authors
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### Fields

 686 Dynamical systems and ergodic theory (37-XX) 506 Ordinary differential equations (34-XX) 351 Biology and other natural sciences (92-XX) 280 Partial differential equations (35-XX) 174 Numerical analysis (65-XX) 157 Mechanics of particles and systems (70-XX) 73 Systems theory; control (93-XX) 70 Fluid mechanics (76-XX) 67 Probability theory and stochastic processes (60-XX) 41 Statistical mechanics, structure of matter (82-XX) 33 Mechanics of deformable solids (74-XX) 32 Optics, electromagnetic theory (78-XX) 30 Computer science (68-XX) 29 Combinatorics (05-XX) 25 Operations research, mathematical programming (90-XX) 25 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 24 Difference and functional equations (39-XX) 23 Calculus of variations and optimal control; optimization (49-XX) 22 Integral equations (45-XX) 21 Statistics (62-XX) 20 Operator theory (47-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 18 Classical thermodynamics, heat transfer (80-XX) 12 Geophysics (86-XX) 12 Information and communication theory, circuits (94-XX) 9 Quantum theory (81-XX) 8 General topology (54-XX) 7 Convex and discrete geometry (52-XX) 7 Differential geometry (53-XX) 6 Group theory and generalizations (20-XX) 6 Approximations and expansions (41-XX) 6 Algebraic topology (55-XX) 6 Manifolds and cell complexes (57-XX) 6 Global analysis, analysis on manifolds (58-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Measure and integration (28-XX) 3 Algebraic geometry (14-XX) 3 Functional analysis (46-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Mathematical logic and foundations (03-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-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)

### Citations contained in zbMATH Open

976 Publications have been cited 10,344 times in 6,579 Documents Cited by Year
Basic reproduction numbers for reaction-diffusion epidemic models. Zbl 1259.35120
Wang, Wendi; Zhao, Xiao-Qiang
2012
Wave structure and nonlinear balances in a family of evolutionary PDEs. Zbl 1088.76531
Holm, Darryl D.; Staley, Martin F.
2003
Symmetry groupoids and patterns of synchrony in coupled cell networks. Zbl 1089.34032
Stewart, Ian; Golubitsky, Martin; Pivato, Marcus
2003
Patterns of synchrony in coupled cell networks with multiple arrows. Zbl 1090.34030
Golubitsky, Martin; Stewart, Ian; Török, Andrei
2005
On the critical coupling for Kuramoto oscillators. Zbl 1242.34096
Dörfler, Florian; Bullo, Francesco
2011
Canonical discontinuous planar piecewise linear systems. Zbl 1242.34020
Freire, Emilio; Ponce, Enrique; Torres, Francisco
2012
Global synchronization of linearly hybrid coupled networks with time-varying delay. Zbl 1161.94011
Yu, Wenwu; Cao, Jinde; Lü, Jinhu
2008
Existence and bifurcation of canards in $$\mathbb R^3$$ in the case of a folded node. Zbl 1090.34047
Wechselberger, Martin
2005
Sufficient conditions for fast switching synchronization in time-varying network topologies. Zbl 1145.37345
Stilwell, Daniel J.; Bollt, Erik M.; Roberson, D. Gray
2006
Dynamic mode decomposition with control. Zbl 1334.65199
Proctor, Joshua L.; Brunton, Steven L.; Kutz, J. Nathan
2016
PDE methods for nonlocal models. Zbl 1088.34011
Laing, Carlo R.; Troy, William C.
2003
Neuronal networks with gap junctions: a study of piecewise linear planar neuron models. Zbl 1159.92008
Coombes, S.
2008
Spatiotemporal dynamics of the diffusive mussel-algae model near Turing-Hopf bifurcation. Zbl 1382.35035
Song, Yongli; Jiang, Heping; Liu, Quan-Xing; Yuan, Yuan
2017
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.
2004
A primer of swarm equilibria. Zbl 1255.35012
Bernoff, Andrew J.; Topaz, Chad M.
2011
Global phase-locking in finite populations of phase-coupled oscillators. Zbl 1167.34330
Verwoerd, Mark; Mason, Oliver
2008
Evans functions for integral neural field equations with Heaviside firing rate function. Zbl 1067.92019
Coombes, S.; Owen, M. R.
2004
Singular Hopf bifurcation in systems with two slow variables. Zbl 1168.37025
Guckenheimer, John
2008
Long period oscillations in a $$G_{0}$$ model of hematopoietic stem cells. Zbl 1110.34050
Pujo-Menjouet, Laurent; Bernard, Samuel; Mackey, Michael C.
2005
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.
2005
Nonlinear patterns in urban crime: hotspots, bifurcations, and suppression. Zbl 1282.91273
Short, M. B.; Bertozzi, A. L.; Brantingham, P. J.
2010
On the implementation of the 0-1 test for chaos. Zbl 1161.37054
Gottwald, Georg A.; Melbourne, Ian
2009
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
2009
Ergodic theory, dynamic mode decomposition, and computation of spectral properties of the Koopman operator. Zbl 1381.37096
Arbabi, Hassan; Mezić, Igor
2017
Localized hexagon patterns of the planar Swift-Hohenberg equation. Zbl 1168.35311
Lloyd, David J. B.; Sandstede, Björn; Avitabile, Daniele; Champneys, Alan R.
2008
Defects in oscillatory media: toward a classification. Zbl 1059.37062
Sandstede, Björn; Scheel, Arnd
2004
Mixed-mode oscillations in three time-scale systems: a prototypical example. Zbl 1167.34346
Krupa, Martin; Popović, Nikola; Kopell, Nancy
2008
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.
2007
Breathing pulses in an excitatory neural network. Zbl 1058.92010
Folias, Stefanos E.; Bressloff, Paul C.
2004
Classification of asymptotic behavior in a stochastic SIR model. Zbl 1343.34109
Dieu, N. T.; Nguyen, D. H.; Du, N. H.; Yin, G.
2016
A computational and geometric approach to phase resetting curves and surfaces. Zbl 1216.34030
Guillamon, Antoni; Huguet, Gemma
2009
The forced van der Pol equation. I: The slow flow and its bifurcations. Zbl 1088.37504
Guckenheimer, John; Hoffman, Kathleen; Weckesser, Warren
2003
A geometric approach to the global attractor conjecture. Zbl 1301.34063
Gopalkrishnan, Manoj; Miller, Ezra; Shiu, Anne
2014
Nondeterministic chaos, and the two-fold singularity in piecewise smooth flows. Zbl 1227.34044
Colombo, Alessandro; Jeffrey, Mike R.
2011
$$R_0$$ analysis of a spatiotemporal model for a stream population. Zbl 1252.35068
Mckenzie, H. W.; Jin, Y.; Jacobsen, J.; Lewis, M. A.
2012
HJB-POD-based feedback design for the optimal control of evolution problems. Zbl 1058.35061
Kunisch, K.; Volkwein, S.; Xie, L.
2004
Chaos in the Hodgkin–Huxley model. Zbl 1002.92005
Guckenheimer, John; Oliva, Ricardo A.
2002
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.
2016
Multiresolution dynamic mode decomposition. Zbl 1338.37121
Kutz, J. Nathan; Fu, Xing; Brunton, Steven L.
2016
Asymptotic dynamics of attractive-repulsive swarms. Zbl 1168.92045
Leverentz, Andrew J.; Topaz, Chad M.; Bernoff, Andrew J.
2009
Random attractors for delay parabolic equations with additive noise and deterministic nonautonomous forcing. Zbl 1317.60081
Wang, Xiaohu; Lu, Kening; Wang, Bixiang
2015
On computing the critical coupling coefficient for the Kuramoto model on a complete bipartite graph. Zbl 1167.34331
Verwoerd, Mark; Mason, Oliver
2009
Freezing solutions of equivariant evolution equations. Zbl 1061.65078
Beyn, W.-J.; Thümmler, V.
2004
The stability and dynamics of localized spot patterns in the two-dimensional Gray-Scott model. Zbl 1223.35033
Chen, W.; Ward, M. J.
2011
The two-fold singularity of discontinuous vector fields. Zbl 1178.34042
Jeffrey, M. R.; Colombo, A.
2009
Nonsmooth Lagrangian mechanics and variational collision integrators. Zbl 1088.37045
Fetecau, R. C.; Marsden, J. E.; Ortiz, M.; West, M.
2003
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.
2005
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
2010
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
2016
Study of singularities in nonsmooth dynamical systems via singular perturbation. Zbl 1167.34304
Llibre, Jaume; Da Silva, Paulo R.; Teixeira, Marco A.
2009
Complete entrainment of Lohe oscillators under attractive and repulsive couplings. Zbl 1310.34060
Choi, Sun-Ho; Ha, Seung-Yeal
2014
Noise-induced behaviors in neural mean field dynamics. Zbl 1235.92016
Touboul, Jonathan; Hermann, Geoffroy; Faugeras, Olivier
2012
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.
2015
Power-law kinetics and determinant criteria for the preclusion of multistationarity in networks of interacting species. Zbl 1278.92012
Wiuf, Carsten; Feliu, Elisenda
2013
Dynamics at a switching intersection: hierarchy, isonomy, and multiple sliding. Zbl 1310.34018
Jeffrey, Mike R.
2014
Stationary states and asymptotic behavior of aggregation models with nonlinear local repulsion. Zbl 1302.35386
Burger, Martin; Fetecau, Razvan; Huang, Yanghong
2014
Rigorous numerics for global dynamics: a study of the Swift-Hohenberg equation. Zbl 1058.35050
Day, Sarah; Hiraoka, Yasuaki; Mischaikow, Konstantin; Ogawa, Toshiyuki
2005
Existence and stability of standing pulses in neural networks. I: Existence. Zbl 1109.34002
Guo, Yixin; Chow, Carson C.
2005
Integration of dissipative partial differential equations: a case study. Zbl 1298.37071
Arioli, Gianni; Koch, Hans
2010
Front propagation in stochastic neural fields. Zbl 1246.92004
Bressloff, Paul C.; Webber, Matthew A.
2012
Asymptotic expansions of I-V relations via a Poisson-Nernst-Planck system. Zbl 1167.34361
Abaid, Nicole; Eisenberg, Robert S.; Liu, Weishi
2008
Rigorous a posteriori computation of (un)stable manifolds and connecting orbits for analytic maps. Zbl 1330.37029
Mireles James, J. D.; Mischaikow, Konstantin
2013
Bifurcations in delay differential equations and applications to tumor and immune system interaction models. Zbl 1284.34118
Bi, Ping; Ruan, Shigui
2013
Continuation of quasi-periodic invariant tori. Zbl 1090.37057
Schilder, Frank; Osinga, Hinke M.; Vogt, Werner
2005
Homoclinic stripe patterns. Zbl 1004.35063
Doelman, Arjen; van der Ploeg, Harmen
2002
An analytical approach to codimension-2 sliding bifurcations in the dry-friction oscillator. Zbl 1201.37086
Guardia, Marcel; Hogan, S. John; Seara, Tere M.
2010
Speeds of spread and propagation for KPP models in time almost and space periodic media. Zbl 1172.35423
Huang, Jianhua; Shen, Wenxian
2009
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
2007
Uniform attractors for nonautonomous wave equations with nonlinear damping. Zbl 1210.35160
Sun, Chunyou; Cao, Daomin; Duan, Jinqiao
2007
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.
2004
Semistrong pulse interactions in a class of coupled reaction-diffusion equations. Zbl 1088.35517
Doelman, Arjen; Kaper, Tasso J.
2003
Local/global analysis of the stationary solutions of some neural field equations. Zbl 1194.92015
Veltz, Romain; Faugeras, Olivier
2010
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
2008
Computing slow manifolds of saddle type. Zbl 1176.37026
Guckenheimer, John; Kuehn, Christian
2009
Neural fields with distributed transmission speeds and long-range feedback delays. Zbl 1210.34118
Atay, Fatihcan M.; Hutt, Axel
2006
Computation of limit cycles and their isochrons: fast algorithms and their convergence. Zbl 1291.37108
Huguet, Gemma; de la Llave, Rafael
2013
On the use of blowup to study regularizations of singularities of piecewise smooth dynamical systems in $$\mathbb{R}^3$$. Zbl 1370.37100
Kristiansen, K. Uldall; Hogan, S. J.
2015
The slow dynamics of two-spike solutions for the Gray-Scott and Gierer-Meinhardt systems: competition and oscillatory instabilities. Zbl 1145.35404
Sun, Wentao; Ward, Michael J.; Russell, Robert
2005
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.
2015
Dynamics on networks of cluster states for globally coupled phase oscillators. Zbl 1167.34326
Ashwin, Peter; Orosz, Gábor; Wordsworth, John; Townley, Stuart
2007
Chaotic braided solutions via rigorous numerics: chaos in the Swift-Hohenberg equation. Zbl 1408.37062
van den Berg, Jan Bouwe; Lessard, Jean-Philippe
2008
Some canonical bifurcations in the Swift-Hohenberg equation. Zbl 1210.34028
Peletier, L. A.; Williams, J. F.
2007
Homoclinic orbits of the FitzHugh-Nagumo equation: bifurcations in the full system. Zbl 1210.34060
Guckenheimer, John; Kuehn, Christian
2010
Higher order dynamic mode decomposition. Zbl 1373.37169
Le Clainche, Soledad; Vega, José M.
2017
Random attractor for damped nonlinear wave equations with white noise. Zbl 1094.35154
Zhou, Shengfan; Yin, Fuqi; Ouyang, Zigen
2005
Kink-antikink collisions in the $$\phi^4$$ equation: the $$n$$-bounce resonance and the separatrix map. Zbl 1145.74370
Goodman, Roy H.; Haberman, Richard
2005
Interacting Langevin diffusions: gradient structure and ensemble Kalman sampler. Zbl 1447.65119
Garbuno-Inigo, Alfredo; Hoffmann, Franca; Li, Wuchen; Stuart, Andrew M.
2020
A rigorous numerical method for the global analysis of infinite-dimensional discrete dynamical systems. Zbl 1059.37068
Day, S.; Junge, O.; Mischaikow, K.
2004
TC-HAT ($$\widehat{TC}$$): a novel toolbox for the continuation of periodic trajectories in hybrid dynamical systems. Zbl 1192.34004
Thota, Phanikrishna; Dankowicz, Harry
2008
Data-driven identification of parametric partial differential equations. Zbl 1456.65096
Rudy, Samuel; Alla, Alessandro; Brunton, Steven L.; Kutz, J. Nathan
2019
The Melnikov method and subharmonic orbits in a piecewise-smooth system. Zbl 1262.37028
Granados, A.; Hogan, S. J.; Seara, T. M.
2012
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
2006
Wandering bumps in stochastic neural fields. Zbl 1278.92007
Kilpatrick, Zachary P.; Ermentrout, Bard
2013
Compressive sensing and low-rank libraries for classification of bifurcation regimes in nonlinear dynamical systems. Zbl 1354.37078
Brunton, Steven L.; Tu, Jonathan H.; Bright, Ido; Kutz, J. Nathan
2014
The structure of MESSI biological systems. Zbl 1395.92071
Pérez Millán, Mercedes; Dickenstein, Alicia
2018
The forced van der Pol equation. II: Canards in the reduced system. Zbl 1089.37013
Bold, Katherine; Edwards, Chantal; Guckenheimer, John; Guharay, Sabyasachi; Hoffman, Kathleen; Hubbard, Judith; Oliva, Ricardo; Weckesser, Warren
2003
Continuation-based computation of global isochrons. Zbl 1232.37014
Osinga, Hinke M.; Moehlis, Jeff
2010
Codimension-two homoclinic bifurcations underlying spike adding in the Hindmarsh-Rose burster. Zbl 1263.37036
Linaro, Daniele; Champneys, Alan; Desroches, Mathieu; Storace, Marco
2012
Linearly recurrent autoencoder networks for learning dynamics. Zbl 1489.65164
Otto, Samuel E.; Rowley, Clarence W.
2019
On the state space geometry of the Kuramoto-Sivashinsky flow in a periodic domain. Zbl 1267.35027
Cvitanović, Predrag; Davidchack, Ruslan L.; Siminos, Evangelos
2010
On a competition-diffusion-advection system from river ecology: mathematical analysis and numerical study. Zbl 1484.35034
Yan, Xiao; Nie, Hua; Zhou, Peng
2022
Derivative-free Bayesian inversion using multiscale dynamics. Zbl 07484035
Pavliotis, G. A.; Stuart, A. M.; Vaes, U.
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.
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.
2022
Graphop mean-field limits for Kuramoto-type models. Zbl 1483.35270
Gkogkas, Marios Antonios; Kuehn, Christian
2022
Emergent behaviors of rotation matrix flocks. Zbl 07537151
Fetecau, Razvan C.; Ha, Seung-Yeal; Park, Hansol
2022
Symbolic proof of bistability in reaction networks. Zbl 1465.37105
Torres, Angélica; Feliu, Elisenda
2021
A simple proof of asymptotic consensus in the Hegselmann-Krause and Cucker-Smale models with normalization and delay. Zbl 1466.34073
2021
Rigorous verification of Hopf bifurcations via desingularization and continuation. Zbl 1476.37094
van den Berg, Jan Bouwe; Lessard, Jean-Philippe; Queirolo, Elena
2021
High-order approximation of heteroclinic bifurcations in truncated 2D-normal forms for the generic cases of Hopf-zero and nonresonant double Hopf singularities. Zbl 1478.34067
Qin, B. W.; Chung, K. W.; Algaba, A.; Rodríguez-Luis, A. J.
2021
Multistability of small reaction networks. Zbl 1469.92051
Tang, Xiaoxian; Xu, Hao
2021
High-frequency instabilities of the Kawahara equation: a perturbative approach. Zbl 1478.35072
Creedon, Ryan; Deconinck, Bernard; Trichtchenko, Olga
2021
Data assimilation for the Navier-Stokes equations using local observables. Zbl 1480.35309
Biswas, Animikh; Bradshaw, Zachary; Jolly, Michael S.
2021
Dynamic transitions and bifurcations for a class of axisymmetric geophysical fluid flow. Zbl 1461.76172
Han, Daozhi; Hernandez, Marco; Wang, Quan
2021
The pair-replica-mean-field limit for intensity-based neural networks. Zbl 1465.37064
Baccelli, François; Taillefumier, Thibaud
2021
Pseudospectral approximation of Hopf bifurcation for delay differential equations. Zbl 1470.34185
de Wolff, B. A. J.; Scarabel, F.; Verduyn Lunel, S. M.; Diekmann, O.
2021
Synchrony and oscillatory dynamics for a 2-d PDE-ODE model of diffusion-mediated communication between small signaling compartments. Zbl 1462.35227
Iyaniwura, Sarafa A.; Ward, Michael J.
2021
Shape versus timing: linear responses of a limit cycle with hard boundaries under instantaneous and static perturbation. Zbl 1482.34047
Wang, Yangyang; Gill, Jeffrey P.; Chiel, Hillel J.; Thomas, Peter J.
2021
Equilibria and their stability in networks with steep sigmoidal nonlinearities. Zbl 1483.37107
Duncan, William; Gedeon, Tomas; Kokubu, Hiroshi; Mischaikow, Konstantin; Oka, Hiroe
2021
Nanoptera in weakly nonlinear woodpile chains and diatomic granular chains. Zbl 1484.34061
Deng, Guo; Lustri, Christopher J.; Porter, Mason A.
2021
How to coordinate vaccination and social distancing to mitigate SARS-CoV-2 outbreaks. Zbl 1472.92137
Grundel, Sara M.; Heyder, Stefan; Hotz, Thomas; Ritschel, Tobias K. S.; Sauerteig, Philipp; Worthmann, Karl
2021
Periodic solutions in threshold-linear networks and their entrainment. Zbl 1481.37106
Bel, Andrea; Cobiaga, Romina; Reartes, Walter; Rotstein, Horacio G.
2021
The role of multiple repetitions on the size of a rumor. Zbl 1478.60268
Rada, Alejandra; Coletti, Cristian; Lebensztayn, Elcio; Rodriguez, Pablo M.
2021
Global dynamics of a Lotka-Volterra competition-diffusion system in advective heterogeneous environments. Zbl 1476.35053
Tang, De; Chen, Yuming
2021
On differential equations with codimension-$$n$$ discontinuity sets. Zbl 1484.34065
Varkonyi, Peter L.; Antali, Mate
2021
High-order accuracy computation of coupling functions for strongly coupled oscillators. Zbl 1472.92051
Park, Youngmin; Wilson, Dan D.
2021
Regularization of isolated codimension-2 discontinuity sets. Zbl 07462005
Cheesman, Noah; Kristiansen, Kristian Uldall; Hogan, S. J.
2021
Stability of motion induced by a point vortex under arbitrary polynomial perturbations. Zbl 1466.37046
Liu, Qihuai; Torres, Pedro J.
2021
Rate-induced tipping and saddle-node bifurcation for quadratic differential equations with nonautonomous asymptotic dynamics. Zbl 1468.34053
Longo, Iacopo P.; Núñez, Carmen; Obaya, Rafael; Rasmussen, Martin
2021
Abundance of strange attractors near an attracting periodically perturbed network. Zbl 1476.37059
Rodrigues, Alexandre A. P.
2021
Type III responses to transient inputs in hybrid nonlinear neuron models. Zbl 1476.37107
Rubin, Jonathan E.; Signerska-Rynkowska, Justyna; Touboul, Jonathan D.
2021
Numerical computation of periodic orbits and isochrons for state-dependent delay perturbation of an ODE in the plane. Zbl 1487.37094
Gimeno, Joan; Yang, Jiaqi; de la Llave, Rafael
2021
Nonlinear consensus on networks: equilibria, effective resistance, and trees of motifs. Zbl 1478.05142
Homs-Dones, Marc; Devriendt, Karel; Lambiotte, Renaud
2021
A mathematical model of anaerobic digestion with syntrophic relationship, substrate inhibition, and distinct removal rates. Zbl 1483.34064
Fekih-Salem, Radhouane; Daoud, Yessmine; Abdellatif, Nahla; Sari, Tewfik
2021
Optimal control of oscillation timing and entrainment using large magnitude inputs: an adaptive phase-amplitude-coordinate-based approach. Zbl 1475.92021
Wilson, Dan
2021
A stiction oscillator under slowly varying forcing: uncovering small scale phenomena using blowup. Zbl 07444702
Kristiansen, Kristian U.
2021
Interacting Langevin diffusions: gradient structure and ensemble Kalman sampler. Zbl 1447.65119
Garbuno-Inigo, Alfredo; Hoffmann, Franca; Li, Wuchen; Stuart, Andrew M.
2020
Data assimilation in large Prandtl Rayleigh-Bénard convection from thermal measurements. Zbl 1434.76041
Farhat, A.; Glatt-Holtz, N. E.; Martinez, V. R.; McQuarrie, S. A.; Whitehead, J. P.
2020
Affine invariant interacting Langevin dynamics for Bayesian inference. Zbl 1472.65118
Garbuno-Inigo, Alfredo; Nüsken, Nikolas; Reich, Sebastian
2020
Physics-informed probabilistic learning of linear embeddings of nonlinear dynamics with guaranteed stability. Zbl 1442.37090
Pan, Shaowu; Duraisamy, Karthik
2020
From the Lohe tensor model to the Lohe Hermitian sphere model and emergent dynamics. Zbl 1441.82011
Ha, Seung-Yeal; Park, Hansol
2020
Mathematical modeling for schistosomiasis with seasonal influence: a case study in Hubei, China. Zbl 1445.37074
Zhang, Tailei; Zhao, Xiao-Qiang
2020
Intralayer synchronization in evolving multiplex hypernetworks: analytical approach. Zbl 1441.37093
Rakshit, Sarbendu; Bera, Bidesh K.; Bollt, Erik M.; Ghosh, Dibakar
2020
Clamping and synchronization in the strongly coupled FitzHugh-Nagumo model. Zbl 1447.35335
Quininao, Cristobal; Touboul, Jonathan D.
2020
Permanence of weakly reversible mass-action systems with a single linkage class. Zbl 1443.92110
Boros, Balázs; Hofbauer, Josef
2020
Robust feedback control of nonlinear PDEs by numerical approximation of high-dimensional Hamilton-Jacobi-Isaacs equations. Zbl 1443.49041
Kalise, Dante; Kundu, Sudeep; Kunisch, Karl
2020
Time-delay observables for Koopman: theory and applications. Zbl 1441.37090
Kamb, Mason; Kaiser, Eurika; Brunton, Steven L.; Kutz, J. Nathan
2020
LOR for analysis of periodic dynamics: a one-stop shop approach. Zbl 1461.34065
Letson, Benjamin; Rubin, Jonathan E.
2020
Emergent behaviors of the Kuramoto model with a time delay on a general digraph. Zbl 1484.34160
Dong, Jiu-Gang; Ha, Seung-Yeal; Kim, Doheon
2020
Data-driven model predictive control using interpolated Koopman generators. Zbl 1461.49007
Peitz, Sebastian; Otto, Samuel E.; Rowley, Clarence W.
2020
Tipping phenomena and points of no return in ecosystems: beyond classical bifurcations. Zbl 1467.37091
O&rsquo;Keeffe, Paul E.; Wieczorek, Sebastian
2020
Big ducks in the heart: canard analysis can explain large early afterdepolarizations in cardiomyocytes. Zbl 1460.92052
Kimrey, Joshua; Vo, Theodore; Bertram, Richard
2020
Bifurcations on fully inhomogeneous networks. Zbl 1443.34039
Gandhi, Punit; Golubitsky, Martin; Postlethwaite, Claire; Stewart, Ian; Wang, Yangyang
2020
Computational singular perturbation method for nonstandard slow-fast systems. Zbl 1457.37102
Lizarraga, Ian; Wechselberger, Martin
2020
Barriers to the transport of diffusive scalars in compressible flows. Zbl 1448.76146
Haller, George; Karrasch, Daniel; Kogelbauer, Florian
2020
Data based reconstruction of duplex networks. Zbl 1437.37123
Ma, Chuang; Chen, Han-Shuang; Li, Xiang; Lai, Ying-Cheng; Zhang, Hai-Feng
2020
Conley index approach to sampled dynamics. Zbl 1442.37088
Batko, Bogdan; Mischaikow, Konstantin; Mrozek, Marian; Przybylski, Mateusz
2020
Finding extremal periodic orbits with polynomial optimization, with application to a nine-mode model of shear flow. Zbl 1475.37094
Lakshmi, Mayur V.; Fantuzzi, Giovanni; Fernández-Caballero, Jesús D.; Hwang, Yongyun; Chernyshenko, Sergei I.
2020
Centering data improves the dynamic mode decomposition. Zbl 1465.37092
Hirsh, Seth M.; Harris, Kameron Decker; Kutz, J. Nathan; Brunton, Bingni W.
2020
Weakly nonlinear analysis of peanut-shaped deformations for localized spots of singularly perturbed reaction-diffusion systems. Zbl 1472.35026
Wong, Tony; Ward, Michael J.
2020
Endotactic networks and toric differential inclusions. Zbl 1461.37077
Craciun, Gheorghe; Deshpande, Abhishek
2020
On the Koopman operator of algorithms. Zbl 1437.47048
Dietrich, Felix; Thiem, Thomas N.; Kevrekidis, Ioannis G.
2020
Pulse solutions for an extended Klausmeier model with spatially varying coefficients. Zbl 1431.35071
Bastiaansen, Robbin; Chirilus-Bruckner, Martina; Doelman, Arjen
2020
Neurologically motivated coupling functions in models of motor coordination. Zbl 1446.34092
Słowiński, Piotr; Al-Ramadhani, Sohaib; Tsaneva-Atanasova, Krasimira
2020
Switching to nonhyperbolic cycles from codimension two bifurcations of equilibria of delay differential equations. Zbl 07175469
Bosschaert, Maikel M.; Janssens, Sebastiaan G.; Kuznetsov, Yu. A.
2020
Lotka-Volterra competition model on graphs. Zbl 1437.92103
Slavík, Antonín
2020
Global time-renormalization of the gravitational $$N$$-body problem. Zbl 1476.70033
Antoñana, Mikel; Chartier, Philippe; Makazaga, Joseba; Murua, Ander
2020
Probabilistic foundations of spatial mean-field models in ecology and applications. Zbl 1466.60050
Patterson, Denis D.; Levin, Simon A.; Staver, Carla; Touboul, Jonathan D.
2020
Effects of large permanent charges on ionic flows via Poisson-Nernst-Planck models. Zbl 1464.78003
Zhang, Liwei; Liu, Weishi
2020
Computation and optimal perturbation of finite-time coherent sets for aperiodic flows without trajectory integration. Zbl 1468.37058
Froyland, Gary; Koltai, Péter; Stahn, Martin
2020
Invariant synchrony subspaces of sets of matrices. Zbl 1442.15045
Neuberger, John M.; Sieben, Nándor; Swift, James W.
2020
Hubs-attracting Laplacian and related synchronization on networks. Zbl 1439.05210
Gambuzza, Lucia Valentina; Frasca, Mattia; Estrada, Ernesto
2020
Quantitative estimates of the threshold phenomena for propagation in reaction-diffusion equations. Zbl 1443.35072
Alfaro, Matthieu; Ducrot, Arnaud; Faye, Grégory
2020
Alternative reduction by stages of Keplerian systems. Positive, negative, and zero energy. Zbl 1473.70027
Crespo, Francisco; Ferrer, Sebastián
2020
Clusters tend to be of equal size in a negative feedback population model of cell cycle dynamics. Zbl 1447.37083
Rombouts, Jan; Prathom, Kiattisak; Young, Todd R.
2020
Phase reduction of stochastic biochemical oscillators. Zbl 1433.92015
Bressloff, Paul C.; MacLaurin, James N.
2020
Synchronization in discrete-time, discrete-state random dynamical systems. Zbl 1433.37055
Huang, Wen; Qian, Hong; Wang, Shirou; Ye, Felix X.-F.; Yi, Yingfei
2020
Computing invariant sets of random differential equations using polynomial chaos. Zbl 1441.37057
Breden, Maxime; Kuehn, Christian
2020
Koopman analysis of isolated fronts and solitons. Zbl 1465.37097
Parker, Jeremy P.; Page, Jacob
2020
Lyapunov coefficients for Hopf bifurcations in systems with piecewise smooth nonlinearity. Zbl 1477.34063
Zazo, Miriam Steinherr; Rademacher, Jens D. M.
2020
Bounding extreme events in nonlinear dynamics using convex optimization. Zbl 1461.93202
Fantuzzi, Giovanni; Goluskin, David
2020
Sensitivity analysis of limit cycles in an alpha Stirling engine: a bifurcation-theory approach. Zbl 1466.80002
Gromov, Dmitry; Castaños, Fernando
2020
On the pitchfork bifurcation of the folded node and other unbounded time-reversible connection problems in $$\mathbb{R}^3$$. Zbl 1470.37074
Kristiansen, Kristian U.
2020
Stoker’s problem for quasi-periodically forced reversible systems with multidimensional Liouvillean frequency. Zbl 1470.70026
Xu, Xiaodan; Si, Wen; Si, Jianguo
2020
On the number of limit cycles in generalized Abel equations. Zbl 1472.34065
Huang, Jianfeng; Torregrosa, Joan; Villadelprat, Jordi
2020
Analysis of spot patterns on a coordinate-invariant model for vegetation on a curved terrain. Zbl 1462.35039
Tzou, J. C.; Tzou, L.
2020
Extended and symmetric loss of stability for canards in planar fast-slow maps. Zbl 1478.37054
Engel, Maximilian; Jardón-Kojakhmetov, Hildeberto
2020
Analysis of spherical shell solutions for the radially symmetric aggregation equation. Zbl 1472.35400
Guardia, Daniel Balagué; Barbaro, Alethea; Carrillo, Jose A.; Volkin, Robert
2020
Study of periodic orbits in periodic perturbations of planar reversible Filippov systems having a twofold cycle. Zbl 1459.34059
Novaes, Douglas D.; Seara, Tere M.; Teixeira, Marco A.; Zeli, Iris O.
2020
Invariant sets in quasiperiodically forced dynamical systems. Zbl 1442.37012
Susuki, Yoshihiko; Mezić, Igor
2020
Bäcker, Arnd; Meiss, James D.
2020
Ribosome flow model with different site sizes. Zbl 1441.92020
Bar-Shalom, Eyal; Ovseevich, Alexander; Margaliot, Michael
2020
State-dependent dynamics of the Lohe matrix ensemble on the unitary group under the gradient flow. Zbl 1443.34035
Kim, Dohyun
2020
Stability in a Hebbian network of Kuramoto oscillators with second-order couplings for binary pattern retrieve. Zbl 1454.34083
Zhao, Xiaoxue; Li, Zhuchun; Xue, Xiaoping
2020
Rate-induced tipping in discrete-time dynamical systems. Zbl 1445.37016
Kiers, Claire
2020
Emergence of bicluster aggregation for the swarm sphere model with attractive-repulsive couplings. Zbl 1447.82022
Ha, Seung-Yeal; Kim, Dohyun; Lee, Jaeseung; Noh, Se Eun
2020
On the stability of symmetric periodic orbits of the elliptic Sitnikov problem. Zbl 1476.70015
Cen, Xiuli; Cheng, Xuhua; Huang, Zaitang; Zhang, Meirong
2020
Understanding mass transfer directions via data-driven models with application to mobile phone data. Zbl 1448.76028
Alla, Alessandro; Balzotti, Caterina; Briani, Maya; Cristiani, Emiliano
2020
Finding strategies to regulate propagation and containment of dengue via invariant manifold analysis. Zbl 1445.37063
Contreras-Julio, Dana; Aguirre, Pablo; Mujica, José; Vasilieva, Olga
2020
Data-driven identification of parametric partial differential equations. Zbl 1456.65096
Rudy, Samuel; Alla, Alessandro; Brunton, Steven L.; Kutz, J. Nathan
2019
...and 876 more Documents
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### Cited by 8,310 Authors

 85 Ha, Seung-Yeal 48 Llibre, Jaume 43 Ward, Michael J. 42 Lessard, Jean-Philippe 40 Krauskopf, Bernd 37 Osinga, Hinke Maria 35 Kühn, Christian 35 Mireles-James, Jason D. 33 Kutz, J. Nathan 32 Bressloff, Paul C. 32 Wechselberger, Martin 31 Sandstede, Björn 30 Kevrekidis, Ioannis George 30 Stewart, Ian Nicholas 29 Brunton, Steven L. 28 Rubin, Jonathan E. 27 Scheel, Arnd 26 Carrillo de la Plata, José Antonio 26 de la Llave, Rafael 25 Teixeira, Marco Antonio 24 Park, Hansol 24 Zhao, Xiao-Qiang 23 Coombes, Stephen 23 Desroches, Mathieu 23 Kevrekidis, Panayotis G. 23 Mezić, Igor 23 Mischaikow, Konstantin 23 Pelinovsky, Dmitry Efimovich 23 Shen, Wenxian 23 Wei, Juncheng 21 Kim, Dohyun 21 Laing, Carlo R. 21 Novaes, Douglas Duarte 21 Uldall Kristiansen, K. 21 Wang, Bixiang 20 Craciun, Gheorghe 20 Hupkes, Hermen Jan 20 Ponce, Enrique 20 van den Berg, Jan Bouwe 20 van Heijster, Peter 19 Adimy, Mostafa 19 Ashwin, Peter 19 Knobloch, Edgar 19 Kolokolnikov, Theodore 19 Moehlis, Jeff 19 Zgliczyński, Piotr 18 Balasuriya, Sanjeeva 18 Chen, Guanrong 18 Dias, Ana Paula S. 18 Doelman, Arjen 18 Golubitsky, Martin A. 18 Jeffrey, Mike R. 18 Krupa, Martin 18 Porfiri, Maurizio 17 de Carvalho, Tiago 17 Fetecau, Razvan C. 17 Kilpatrick, Zachary P. 17 Lawley, Sean D. 17 Sherratt, Jonathan A. 17 Simpson, David John Warwick 17 Wilson, Dan D. 16 Aguiar, Manuela A. D. 16 Blömker, Dirk 16 Bollt, Erik M. 16 Faye, Grégory 15 Cai, Yongli 15 Cao, Jinde 15 Duan, Jinqiao 15 Park, Jinyeong 15 Rademacher, Jens Diederich Michael 15 Shi, Junping 15 Wang, Weiming 15 Wanner, Thomas 15 Wyller, John A. 15 Xu, Jian 14 Belykh, Igor V. 14 Feliu, Elisenda 14 Froyland, Gary 14 Gardini, Laura 14 Gedeon, Tomáš 14 Li, Zhuchun 14 Mrozek, Marian 14 M-Seara, Tere 14 Zhang, Mingji 13 Crauste, Fabien 13 Ghosh, Dibakar 13 Kaper, Tasso J. 13 Palacián, Jesús F. 13 Tonon, Durval José 13 Yang, Xiaosong 13 Yanguas, Patricia 12 Anderson, David Frederick 12 Bi, Qinsheng 12 Bramburger, Jason J. 12 Gameiro, Marcio F. 12 Gao, Hongjun 12 Giannakis, Dimitrios 12 Huang, Lihong 12 Lăzureanu, Cristian 12 Liu, Weishi ...and 8,210 more Authors
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### Cited in 477 Journals

 416 SIAM Journal on Applied Dynamical Systems 338 Physica D 306 Chaos 284 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 261 Journal of Differential Equations 164 Discrete and Continuous Dynamical Systems. Series B 161 Journal of Nonlinear Science 135 Communications in Nonlinear Science and Numerical Simulation 120 Journal of Mathematical Analysis and Applications 117 Nonlinear Dynamics 108 Journal of Mathematical Biology 105 Journal of Dynamics and Differential Equations 104 Nonlinearity 104 Bulletin of Mathematical Biology 94 Chaos, Solitons and Fractals 93 Journal of Fluid Mechanics 93 Applied Mathematics and Computation 89 Nonlinear Analysis. Real World Applications 81 SIAM Journal on Applied Mathematics 81 Discrete and Continuous Dynamical Systems 78 Journal of Computational Physics 74 Automatica 71 Journal of Theoretical Biology 60 Mathematical Biosciences and Engineering 57 SIAM Journal on Mathematical Analysis 56 The Journal of Mathematical Neuroscience 52 Journal of Computational and Applied Mathematics 50 Journal of Statistical Physics 49 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 49 Qualitative Theory of Dynamical Systems 48 Journal of Mathematical Physics 48 Mathematical Biosciences 47 Journal of Computational Neuroscience 46 Applied Mathematics Letters 44 Physica A 43 Biological Cybernetics 41 Regular and Chaotic Dynamics 38 Celestial Mechanics and Dynamical Astronomy 37 Discrete and Continuous Dynamical Systems. Series S 35 Journal of Computational Dynamics 34 SIAM Journal on Scientific Computing 32 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 31 Computer Methods in Applied Mechanics and Engineering 31 European Journal of Applied Mathematics 31 Dynamical Systems 30 Journal of the Franklin Institute 30 Neural Computation 29 Archive for Rational Mechanics and Analysis 29 ZAMP. Zeitschrift für angewandte Mathematik und Physik 29 Mathematical Modelling of Natural Phenomena 28 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 27 Computers & Mathematics with Applications 27 Abstract and Applied Analysis 27 Communications on Pure and Applied Analysis 26 Applicable Analysis 26 Applied Mathematical Modelling 25 Communications in Mathematical Physics 25 Acta Applicandae Mathematicae 24 Advances in Difference Equations 23 Mathematics and Computers in Simulation 23 Journal of Difference Equations and Applications 23 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 22 SIAM Journal on Control and Optimization 22 Mathematical Problems in Engineering 21 Proceedings of the American Mathematical Society 21 SIAM Review 21 Journal of Biological Dynamics 20 Quarterly of Applied Mathematics 20 Nonlinear Analysis. Hybrid Systems 19 Systems & Control Letters 19 Networks and Heterogeneous Media 17 Physics Letters. A 17 Studies in Applied Mathematics 17 Journal of Scientific Computing 17 Multiscale Modeling & Simulation 16 Numerische Mathematik 16 SIAM Journal on Numerical Analysis 16 Transactions of the American Mathematical Society 16 Complexity 16 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 16 International Journal of Biomathematics 16 SIAM/ASA Journal on Uncertainty Quantification 15 Mathematical Methods in the Applied Sciences 15 Applied Numerical Mathematics 15 Stochastics and Dynamics 14 Japan Journal of Industrial and Applied Mathematics 14 Advances in Computational Mathematics 14 Journal of Mathematical Chemistry 14 Discrete Dynamics in Nature and Society 13 Journal of Functional Analysis 13 Neural Networks 13 Journal of Mathematical Sciences (New York) 13 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 13 Foundations of Computational Mathematics 13 Kinetic and Related Models 12 Ergodic Theory and Dynamical Systems 11 Advances in Mathematical Physics 11 Journal of Applied Analysis and Computation 10 Physics Reports 10 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire ...and 377 more Journals
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### Cited in 61 Fields

 2,062 Biology and other natural sciences (92-XX) 2,048 Ordinary differential equations (34-XX) 2,039 Dynamical systems and ergodic theory (37-XX) 1,924 Partial differential equations (35-XX) 779 Numerical analysis (65-XX) 582 Systems theory; control (93-XX) 501 Mechanics of particles and systems (70-XX) 444 Fluid mechanics (76-XX) 397 Probability theory and stochastic processes (60-XX) 282 Statistical mechanics, structure of matter (82-XX) 177 Mechanics of deformable solids (74-XX) 176 Calculus of variations and optimal control; optimization (49-XX) 174 Computer science (68-XX) 155 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 132 Operations research, mathematical programming (90-XX) 128 Operator theory (47-XX) 115 Integral equations (45-XX) 113 Statistics (62-XX) 105 Combinatorics (05-XX) 99 Information and communication theory, circuits (94-XX) 98 Difference and functional equations (39-XX) 85 Optics, electromagnetic theory (78-XX) 75 Quantum theory (81-XX) 74 Classical thermodynamics, heat transfer (80-XX) 58 Global analysis, analysis on manifolds (58-XX) 57 Differential geometry (53-XX) 51 Geophysics (86-XX) 45 Linear and multilinear algebra; matrix theory (15-XX) 41 Real functions (26-XX) 23 Approximations and expansions (41-XX) 22 Algebraic topology (55-XX) 18 Commutative algebra (13-XX) 17 Functional analysis (46-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 16 Convex and discrete geometry (52-XX) 16 Relativity and gravitational theory (83-XX) 15 Special functions (33-XX) 15 Astronomy and astrophysics (85-XX) 13 General topology (54-XX) 13 Manifolds and cell complexes (57-XX) 12 General and overarching topics; collections (00-XX) 11 Order, lattices, ordered algebraic structures (06-XX) 11 Algebraic geometry (14-XX) 11 Group theory and generalizations (20-XX) 11 Measure and integration (28-XX) 9 Field theory and polynomials (12-XX) 8 Topological groups, Lie groups (22-XX) 6 Number theory (11-XX) 5 History and biography (01-XX) 5 Potential theory (31-XX) 4 Functions of a complex variable (30-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Geometry (51-XX) 3 Mathematical logic and foundations (03-XX) 3 Mathematics education (97-XX) 2 Category theory; homological algebra (18-XX) 2 Integral transforms, operational calculus (44-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX)