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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: 1,064 Publications (since 2002)
References Indexed: 513 Publications with 21,427 References.
all top 5

Authors

24 Krauskopf, Bernd
18 Osinga, Hinke Maria
14 Ward, Michael J.
13 Bressloff, Paul C.
13 Champneys, Alan R.
13 Guckenheimer, John M.
12 Golubitsky, Martin A.
12 Kutz, J. Nathan
11 Meiss, James D.
10 Rubin, Jonathan E.
10 Sandstede, Björn
10 Wechselberger, Martin
9 Doelman, Arjen
9 Ha, Seung-Yeal
9 Mireles-James, Jason D.
9 Mischaikow, Konstantin
9 Rademacher, Jens Diederich Michael
8 Bollt, Erik M.
8 Brunton, Steven L.
8 de la Llave, Rafael
8 Kolokolnikov, Theodore
8 Lessard, Jean-Philippe
8 Moehlis, Jeff
7 Desroches, Mathieu
7 Ermentrout, Bard G.
7 Holmes, Philip J.
7 Kevrekidis, Ioannis George
7 Kevrekidis, Panayotis G.
7 Kilpatrick, Zachary P.
7 Kirk, Vivien
7 Knobloch, Edgar
7 Pelinovsky, Dmitry Efimovich
7 Postlethwaite, Claire M.
7 Zgliczyński, Piotr
6 Ashwin, Peter
6 Clément, Frédérique
6 Dullin, Holger R.
6 Hogan, S. John
6 Kopell, Nancy J.
6 Mezić, Igor
6 Scheel, Arnd
6 Stewart, Ian Nicholas
6 van den Berg, Jan Bouwe
6 Wilczak, Daniel
6 Yorke, James Alan
5 Colombo, Alessandro G.
5 Folias, Stefanos E.
5 Gedeon, Tomáš
5 Gottwald, Georg A.
5 Kuznetsov, Yuri Alexandrovich
5 Lloyd, David J. B.
5 Palacián, Jesús F.
5 Rowley, Clarence W.
5 Rucklidge, Alastair M.
5 Sieber, Jan
5 Uldall Kristiansen, K.
5 Wanner, Thomas
5 Wayne, Clarence Eugene
5 Wulff, Claudia
5 Yanguas, Patricia
4 Atay, Fatihcan M.
4 Avitabile, Daniele
4 Balasuriya, Sanjeeva
4 Bose, Amitabha
4 Buono, Pietro-Luciano
4 Capinski, Maciej J.
4 Chow, Carson C.
4 Coombes, Stephen
4 Cors, Josep Maria
4 Cummins, Bree
4 Dankowicz, Harry J.
4 Dawes, Jonathan H. P.
4 Day, Sarah L.
4 di Bernardo, Mario
4 Faye, Grégory
4 Fetecau, Razvan C.
4 Froyland, Gary
4 Hupkes, Hermen Jan
4 Jeffrey, Mike R.
4 Keener, James P.
4 Kristiansen, Kristian Uldall
4 Kühn, Christian
4 Laing, Carlo R.
4 Lewis, Timothy J.
4 Mrozek, Marian
4 Neuberger, John M.
4 Oldeman, Bart E.
4 Porfiri, Maurizio
4 Porter, Mason Alexander
4 Rom-Kedar, Vered
4 Sepulchre, Rodolphe J.
4 Sieben, Nándor
4 Starke, Jens
4 Swift, James W.
4 Swigon, David
4 Szmolyan, Peter
4 Teixeira, Marco Antonio
4 Terman, David H.
4 Troy, William C.
4 Tzou, Justin C.
...and 1,554 more Authors
all top 5

Fields

626 Dynamical systems and ergodic theory (37-XX)
467 Ordinary differential equations (34-XX)
310 Biology and other natural sciences (92-XX)
253 Partial differential equations (35-XX)
160 Numerical analysis (65-XX)
143 Mechanics of particles and systems (70-XX)
67 Fluid mechanics (76-XX)
59 Systems theory; control (93-XX)
55 Probability theory and stochastic processes (60-XX)
35 Statistical mechanics, structure of matter (82-XX)
29 Mechanics of deformable solids (74-XX)
29 Optics, electromagnetic theory (78-XX)
24 Operations research, mathematical programming (90-XX)
22 Integral equations (45-XX)
20 Difference and functional equations (39-XX)
19 Combinatorics (05-XX)
18 Operator theory (47-XX)
18 Calculus of variations and optimal control; optimization (49-XX)
18 Computer science (68-XX)
18 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
16 Statistics (62-XX)
16 Classical thermodynamics, heat transfer (80-XX)
14 Linear and multilinear algebra; matrix theory (15-XX)
11 Geophysics (86-XX)
10 Information and communication theory, circuits (94-XX)
8 General topology (54-XX)
8 Quantum theory (81-XX)
7 Differential geometry (53-XX)
6 Convex and discrete geometry (52-XX)
6 Manifolds and cell complexes (57-XX)
6 Global analysis, analysis on manifolds (58-XX)
5 Group theory and generalizations (20-XX)
5 Algebraic topology (55-XX)
4 Order, lattices, ordered algebraic structures (06-XX)
3 Measure and integration (28-XX)
3 Approximations and expansions (41-XX)
3 Functional analysis (46-XX)
2 Field theory and polynomials (12-XX)
2 Commutative algebra (13-XX)
2 Algebraic geometry (14-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
1 Mathematical logic and foundations (03-XX)
1 Real functions (26-XX)
1 Geometry (51-XX)
1 Relativity and gravitational theory (83-XX)
1 Astronomy and astrophysics (85-XX)

Publications by Year

Citations contained in zbMATH Open

889 Publications have been cited 8,626 times in 5,480 Documents Cited by Year
Basic reproduction numbers for reaction-diffusion epidemic models. Zbl 1259.35120
Wang, Wendi; Zhao, Xiao-Qiang
153
2012
Wave structure and nonlinear balances in a family of evolutionary PDEs. Zbl 1088.76531
Holm, Darryl D.; Staley, Martin F.
118
2003
Symmetry groupoids and patterns of synchrony in coupled cell networks. Zbl 1089.34032
Stewart, Ian; Golubitsky, Martin; Pivato, Marcus
108
2003
Patterns of synchrony in coupled cell networks with multiple arrows. Zbl 1090.34030
Golubitsky, Martin; Stewart, Ian; Török, Andrei
106
2005
Global synchronization of linearly hybrid coupled networks with time-varying delay. Zbl 1161.94011
Yu, Wenwu; Cao, Jinde; Lü, Jinhu
97
2008
On the critical coupling for Kuramoto oscillators. Zbl 1242.34096
Dörfler, Florian; Bullo, Francesco
97
2011
Existence and bifurcation of canards in \(\mathbb R^3\) in the case of a folded node. Zbl 1090.34047
Wechselberger, Martin
87
2005
Canonical discontinuous planar piecewise linear systems. Zbl 1242.34020
Freire, Emilio; Ponce, Enrique; Torres, Francisco
82
2012
Sufficient conditions for fast switching synchronization in time-varying network topologies. Zbl 1145.37345
Stilwell, Daniel J.; Bollt, Erik M.; Roberson, D. Gray
74
2006
PDE methods for nonlocal models. Zbl 1088.34011
Laing, Carlo R.; Troy, William C.
56
2003
Neuronal networks with gap junctions: a study of piecewise linear planar neuron models. Zbl 1159.92008
Coombes, S.
54
2008
A primer of swarm equilibria. Zbl 1255.35012
Bernoff, Andrew J.; Topaz, Chad M.
53
2011
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.
49
2004
Global phase-locking in finite populations of phase-coupled oscillators. Zbl 1167.34330
Verwoerd, Mark; Mason, Oliver
49
2008
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.
49
2005
Long period oscillations in a \(G_{0}\) model of hematopoietic stem cells. Zbl 1110.34050
Pujo-Menjouet, Laurent; Bernard, Samuel; Mackey, Michael C.
48
2005
Evans functions for integral neural field equations with Heaviside firing rate function. Zbl 1067.92019
Coombes, S.; Owen, M. R.
47
2004
Dynamic mode decomposition with control. Zbl 1334.65199
Proctor, Joshua L.; Brunton, Steven L.; Kutz, J. Nathan
47
2016
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
44
2009
Singular Hopf bifurcation in systems with two slow variables. Zbl 1168.37025
Guckenheimer, John
44
2008
Defects in oscillatory media: toward a classification. Zbl 1059.37062
Sandstede, Björn; Scheel, Arnd
43
2004
Breathing pulses in an excitatory neural network. Zbl 1058.92010
Folias, Stefanos E.; Bressloff, Paul C.
43
2004
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.
43
2007
Localized hexagon patterns of the planar Swift-Hohenberg equation. Zbl 1168.35311
Lloyd, David J. B.; Sandstede, Björn; Avitabile, Daniele; Champneys, Alan R.
41
2008
A computational and geometric approach to phase resetting curves and surfaces. Zbl 1216.34030
Guillamon, Antoni; Huguet, Gemma
41
2009
Mixed-mode oscillations in three time-scale systems: a prototypical example. Zbl 1167.34346
Krupa, Martin; Popović, Nikola; Kopell, Nancy
40
2008
On the implementation of the 0-1 test for chaos. Zbl 1161.37054
Gottwald, Georg A.; Melbourne, Ian
40
2009
Nonlinear patterns in urban crime: hotspots, bifurcations, and suppression. Zbl 1282.91273
Short, M. B.; Bertozzi, A. L.; Brantingham, P. J.
40
2010
The forced van der Pol equation. I: The slow flow and its bifurcations. Zbl 1088.37504
Guckenheimer, John; Hoffman, Kathleen; Weckesser, Warren
40
2003
Spatiotemporal dynamics of the diffusive mussel-algae model near Turing-Hopf bifurcation. Zbl 1382.35035
Song, Yongli; Jiang, Heping; Liu, Quan-Xing; Yuan, Yuan
38
2017
HJB-POD-based feedback design for the optimal control of evolution problems. Zbl 1058.35061
Kunisch, K.; Volkwein, S.; Xie, L.
36
2004
Asymptotic dynamics of attractive-repulsive swarms. Zbl 1168.92045
Leverentz, Andrew J.; Topaz, Chad M.; Bernoff, Andrew J.
35
2009
On computing the critical coupling coefficient for the Kuramoto model on a complete bipartite graph. Zbl 1167.34331
Verwoerd, Mark; Mason, Oliver
35
2009
A geometric approach to the global attractor conjecture. Zbl 1301.34063
Gopalkrishnan, Manoj; Miller, Ezra; Shiu, Anne
35
2014
Freezing solutions of equivariant evolution equations. Zbl 1061.65078
Beyn, W.-J.; Thümmler, V.
34
2004
Chaos in the Hodgkin–Huxley model. Zbl 1002.92005
Guckenheimer, John; Oliva, Ricardo A.
34
2002
The stability and dynamics of localized spot patterns in the two-dimensional Gray-Scott model. Zbl 1223.35033
Chen, W.; Ward, M. J.
34
2011
Nonsmooth Lagrangian mechanics and variational collision integrators. Zbl 1088.37045
Fetecau, R. C.; Marsden, J. E.; Ortiz, M.; West, M.
33
2003
\(R_0\) analysis of a spatiotemporal model for a stream population. Zbl 1252.35068
Mckenzie, H. W.; Jin, Y.; Jacobsen, J.; Lewis, M. A.
33
2012
Ergodic theory, dynamic mode decomposition, and computation of spectral properties of the Koopman operator. Zbl 1381.37096
Arbabi, Hassan; Mezić, Igor
32
2017
Rigorous numerics for global dynamics: a study of the Swift-Hohenberg equation. Zbl 1058.35050
Day, Sarah; Hiraoka, Yasuaki; Mischaikow, Konstantin; Ogawa, Toshiyuki
31
2005
Existence and stability of standing pulses in neural networks. I: Existence. Zbl 1109.34002
Guo, Yixin; Chow, Carson C.
31
2005
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.
31
2005
Noise-induced behaviors in neural mean field dynamics. Zbl 1235.92016
Touboul, Jonathan; Hermann, Geoffroy; Faugeras, Olivier
31
2012
The two-fold singularity of discontinuous vector fields. Zbl 1178.34042
Jeffrey, M. R.; Colombo, A.
30
2009
Front propagation in stochastic neural fields. Zbl 1246.92004
Bressloff, Paul C.; Webber, Matthew A.
30
2012
Rigorous a posteriori computation of (un)stable manifolds and connecting orbits for analytic maps. Zbl 1330.37029
Mireles James, J. D.; Mischaikow, Konstantin
30
2013
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.
30
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
29
2005
Nondeterministic chaos, and the two-fold singularity in piecewise smooth flows. Zbl 1227.34044
Colombo, Alessandro; Jeffrey, Mike R.
29
2011
Classification of asymptotic behavior in a stochastic SIR model. Zbl 1343.34109
Dieu, N. T.; Nguyen, D. H.; Du, N. H.; Yin, G.
29
2016
Asymptotic expansions of I-V relations via a Poisson-Nernst-Planck system. Zbl 1167.34361
Abaid, Nicole; Eisenberg, Robert S.; Liu, Weishi
28
2008
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
28
2008
Study of singularities in nonsmooth dynamical systems via singular perturbation. Zbl 1167.34304
Llibre, Jaume; Da Silva, Paulo R.; Teixeira, Marco A.
28
2009
Homoclinic stripe patterns. Zbl 1004.35063
Doelman, Arjen; van der Ploeg, Harmen
28
2002
Semistrong pulse interactions in a class of coupled reaction-diffusion equations. Zbl 1088.35517
Doelman, Arjen; Kaper, Tasso J.
28
2003
Power-law kinetics and determinant criteria for the preclusion of multistationarity in networks of interacting species. Zbl 1278.92012
Wiuf, Carsten; Feliu, Elisenda
28
2013
Computation of limit cycles and their isochrons: fast algorithms and their convergence. Zbl 1291.37108
Huguet, Gemma; de la Llave, Rafael
28
2013
Stationary states and asymptotic behavior of aggregation models with nonlinear local repulsion. Zbl 1302.35386
Burger, Martin; Fetecau, Razvan; Huang, Yanghong
28
2014
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.
27
2004
Computing slow manifolds of saddle type. Zbl 1176.37026
Guckenheimer, John; Kuehn, Christian
27
2009
Some canonical bifurcations in the Swift-Hohenberg equation. Zbl 1210.34028
Peletier, L. A.; Williams, J. F.
27
2007
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
27
2010
Complete entrainment of Lohe oscillators under attractive and repulsive couplings. Zbl 1310.34060
Choi, Sun-Ho; Ha, Seung-Yeal
27
2014
Neural fields with distributed transmission speeds and long-range feedback delays. Zbl 1210.34118
Atay, Fatihcan M.; Hutt, Axel
26
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
26
2007
Chaotic braided solutions via rigorous numerics: chaos in the Swift-Hohenberg equation. Zbl 1408.37062
van den Berg, Jan Bouwe; Lessard, Jean-Philippe
26
2008
Local/global analysis of the stationary solutions of some neural field equations. Zbl 1194.92015
Veltz, Romain; Faugeras, Olivier
26
2010
Dynamics at a switching intersection: hierarchy, isonomy, and multiple sliding. Zbl 1310.34018
Jeffrey, Mike R.
26
2014
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.
26
2016
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.
26
2015
Random attractors for delay parabolic equations with additive noise and deterministic nonautonomous forcing. Zbl 1317.60081
Wang, Xiaohu; Lu, Kening; Wang, Bixiang
26
2015
Multiresolution dynamic mode decomposition. Zbl 1338.37121
Kutz, J. Nathan; Fu, Xing; Brunton, Steven L.
26
2016
A rigorous numerical method for the global analysis of infinite-dimensional discrete dynamical systems. Zbl 1059.37068
Day, S.; Junge, O.; Mischaikow, K.
25
2004
Speeds of spread and propagation for KPP models in time almost and space periodic media. Zbl 1172.35423
Huang, Jianhua; Shen, Wenxian
25
2009
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
25
2006
Dynamics on networks of cluster states for globally coupled phase oscillators. Zbl 1167.34326
Ashwin, Peter; Orosz, Gábor; Wordsworth, John; Townley, Stuart
25
2007
TC-HAT (\(\widehat{TC}\)): a novel toolbox for the continuation of periodic trajectories in hybrid dynamical systems. Zbl 1192.34004
Thota, Phanikrishna; Dankowicz, Harry
25
2008
An analytical approach to codimension-2 sliding bifurcations in the dry-friction oscillator. Zbl 1201.37086
Guardia, Marcel; Hogan, S. John; Seara, Tere M.
25
2010
Continuation of quasi-periodic invariant tori. Zbl 1090.37057
Schilder, Frank; Osinga, Hinke M.; Vogt, Werner
25
2005
Integration of dissipative partial differential equations: a case study. Zbl 1298.37071
Arioli, Gianni; Koch, Hans
25
2010
Continuation-based computation of global isochrons. Zbl 1232.37014
Osinga, Hinke M.; Moehlis, Jeff
25
2010
Reliable computation of robust response tori on the verge of breakdown. Zbl 1253.37077
Figueras, Jordi-Lluís; Haro, Àlex
24
2012
Bifurcations in delay differential equations and applications to tumor and immune system interaction models. Zbl 1284.34118
Bi, Ping; Ruan, Shigui
24
2013
Front interactions in a three-component system. Zbl 1197.35047
van Heijster, P.; Doelman, A.; Kaper, T. J.; Promislow, K.
23
2010
Uniform attractors for nonautonomous wave equations with nonlinear damping. Zbl 1210.35160
Sun, Chunyou; Cao, Daomin; Duan, Jinqiao
23
2007
Kink-antikink collisions in the \(\phi^4\) equation: the \(n\)-bounce resonance and the separatrix map. Zbl 1145.74370
Goodman, Roy H.; Haberman, Richard
23
2005
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
23
2014
Uniformly hyperbolic attractor of the Smale-Williams type for a Poincaré map in the Kuznetsov system. Zbl 1213.37046
Wilczak, Daniel
23
2010
Codimension-two homoclinic bifurcations underlying spike adding in the Hindmarsh-Rose burster. Zbl 1263.37036
Linaro, Daniele; Champneys, Alan; Desroches, Mathieu; Storace, Marco
23
2012
Homoclinic orbits of the FitzHugh-Nagumo equation: bifurcations in the full system. Zbl 1210.34060
Guckenheimer, John; Kuehn, Christian
22
2010
Periodic solutions in Hamiltonian systems, averaging, and the lunar problem. Zbl 1159.37424
Yanguas, Patricia; Palacián, Jesús F.; Meyer, Kenneth R.; Dumas, H. Scott
22
2008
Spiral waves in nonlocal equations. Zbl 1090.37056
Laing, Carlo R.
22
2005
Computing geodesic level sets on global (un)stable manifolds of vector fields. Zbl 1089.37014
Krauskopf, Bernd; Osinga, Hinke M.
22
2003
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
22
2003
Random attractor for damped nonlinear wave equations with white noise. Zbl 1094.35154
Zhou, Shengfan; Yin, Fuqi; Ouyang, Zigen
22
2005
Differential geometry perspective of shape coherence and curvature evolution by finite-time nonhyperbolic splitting. Zbl 1329.37031
Ma, Tian; Bollt, Erik M.
22
2014
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
22
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.
22
2015
On the state space geometry of the Kuramoto-Sivashinsky flow in a periodic domain. Zbl 1267.35027
Cvitanović, Predrag; Davidchack, Ruslan L.; Siminos, Evangelos
21
2010
Symbolic proof of bistability in reaction networks. Zbl 1465.37105
Torres, Angélica; Feliu, Elisenda
2
2021
Dynamic transitions and bifurcations for a class of axisymmetric geophysical fluid flow. Zbl 1461.76172
Han, Daozhi; Hernandez, Marco; Wang, Quan
1
2021
Pseudospectral approximation of Hopf bifurcation for delay differential equations. Zbl 07335803
de Wolff, B. A. J.; Scarabel, F.; Verduyn Lunel, S. M.; Diekmann, O.
1
2021
Rate-induced tipping and saddle-node bifurcation for quadratic differential equations with nonautonomous asymptotic dynamics. Zbl 07335807
Longo, Iacopo P.; Núñez, Carmen; Obaya, Rafael; Rasmussen, Martin
1
2021
Interacting Langevin diffusions: gradient structure and ensemble Kalman sampler. Zbl 1447.65119
Garbuno-Inigo, Alfredo; Hoffmann, Franca; Li, Wuchen; Stuart, Andrew M.
8
2020
Physics-informed probabilistic learning of linear embeddings of nonlinear dynamics with guaranteed stability. Zbl 1442.37090
Pan, Shaowu; Duraisamy, Karthik
5
2020
From the Lohe tensor model to the Lohe Hermitian sphere model and emergent dynamics. Zbl 1441.82011
Ha, Seung-Yeal; Park, Hansol
4
2020
Mathematical modeling for schistosomiasis with seasonal influence: a case study in Hubei, China. Zbl 1445.37074
Zhang, Tailei; Zhao, Xiao-Qiang
4
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
4
2020
Barriers to the transport of diffusive scalars in compressible flows. Zbl 1448.76146
Haller, George; Karrasch, Daniel; Kogelbauer, Florian
3
2020
Permanence of weakly reversible mass-action systems with a single linkage class. Zbl 1443.92110
Boros, Balázs; Hofbauer, Josef
3
2020
Time-delay observables for Koopman: theory and applications. Zbl 1441.37090
Kamb, Mason; Kaiser, Eurika; Brunton, Steven L.; Kutz, J. Nathan
3
2020
Computational singular perturbation method for nonstandard slow-fast systems. Zbl 1457.37102
Lizarraga, Ian; Wechselberger, Martin
3
2020
Data based reconstruction of duplex networks. Zbl 1437.37123
Ma, Chuang; Chen, Han-Shuang; Li, Xiang; Lai, Ying-Cheng; Zhang, Hai-Feng
2
2020
Neurologically motivated coupling functions in models of motor coordination. Zbl 1446.34092
Słowiński, Piotr; Al-Ramadhani, Sohaib; Tsaneva-Atanasova, Krasimira
2
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.
2
2020
Tipping phenomena and points of no return in ecosystems: beyond classical bifurcations. Zbl 1467.37091
O’Keeffe, Paul E.; Wieczorek, Sebastian
2
2020
Clamping and synchronization in the strongly coupled FitzHugh-Nagumo model. Zbl 1447.35335
Quininao, Cristobal; Touboul, Jonathan D.
2
2020
Bifurcations on fully inhomogeneous networks. Zbl 1443.34039
Gandhi, Punit; Golubitsky, Martin; Postlethwaite, Claire; Stewart, Ian; Wang, Yangyang
2
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.
2
2020
On the Koopman operator of algorithms. Zbl 1437.47048
Dietrich, Felix; Thiem, Thomas N.; Kevrekidis, Ioannis G.
2
2020
Intralayer synchronization in evolving multiplex hypernetworks: analytical approach. Zbl 1441.37093
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2
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Pulse solutions for an extended Klausmeier model with spatially varying coefficients. Zbl 1431.35071
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1
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LOR for analysis of periodic dynamics: a one-stop shop approach. Zbl 1461.34065
Letson, Benjamin; Rubin, Jonathan E.
1
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Synchronization in discrete-time, discrete-state random dynamical systems. Zbl 1433.37055
Huang, Wen; Qian, Hong; Wang, Shirou; Ye, Felix X.-F.; Yi, Yingfei
1
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Affine invariant interacting Langevin dynamics for Bayesian inference. Zbl 07315444
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1
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Computation and optimal perturbation of finite-time coherent sets for aperiodic flows without trajectory integration. Zbl 07315445
Froyland, Gary; Koltai, Péter; Stahn, Martin
1
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Endotactic networks and toric differential inclusions. Zbl 1461.37077
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1
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Data-driven model predictive control using interpolated Koopman generators. Zbl 1461.49007
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1
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Conley index approach to sampled dynamics. Zbl 1442.37088
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1
2020
Lotka-Volterra competition model on graphs. Zbl 1437.92103
Slavík, Antonín
1
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Finding extremal periodic orbits with polynomial optimization, with application to a nine-mode model of shear flow. Zbl 07191305
Lakshmi, Mayur V.; Fantuzzi, Giovanni; Fernández-Caballero, Jesús D.; Hwang, Yongyun; Chernyshenko, Sergei I.
1
2020
Ribosome flow model with different site sizes. Zbl 1441.92020
Bar-Shalom, Eyal; Ovseevich, Alexander; Margaliot, Michael
1
2020
Invariant synchrony subspaces of sets of matrices. Zbl 1442.15045
Neuberger, John M.; Sieben, Nándor; Swift, James W.
1
2020
Rate-induced tipping in discrete-time dynamical systems. Zbl 1445.37016
Kiers, Claire
1
2020
On the stability of symmetric periodic orbits of the elliptic Sitnikov problem. Zbl 07214008
Cen, Xiuli; Cheng, Xuhua; Huang, Zaitang; Zhang, Meirong
1
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Quantitative estimates of the threshold phenomena for propagation in reaction-diffusion equations. Zbl 1443.35072
Alfaro, Matthieu; Ducrot, Arnaud; Faye, Grégory
1
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Finding strategies to regulate propagation and containment of dengue via invariant manifold analysis. Zbl 1445.37063
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1
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Alternative reduction by stages of Keplerian systems. Positive, negative, and zero energy. Zbl 07220179
Crespo, Francisco; Ferrer, Sebastián
1
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Linearly recurrent autoencoder networks for learning dynamics. Zbl 07068540
Otto, Samuel E.; Rowley, Clarence W.
17
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A collisionless singular Cucker-Smale model with decentralized formation control. Zbl 1432.34063
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9
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Data-driven identification of parametric partial differential equations. Zbl 1456.65096
Rudy, Samuel; Alla, Alessandro; Brunton, Steven L.; Kutz, J. Nathan
8
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The Kuramoto model on oriented and signed graphs. Zbl 1420.34083
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7
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Online dynamic mode decomposition for time-varying systems. Zbl 07122844
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7
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A second-order particle swarm model on a sphere and emergent dynamics. Zbl 1412.34157
Ha, Seung-Yeal; Kim, Dohyun
6
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Pattern formation and synchronism in an allelopathic plankton model with delay in a network. Zbl 1416.34071
Tian, Canrong; Ruan, Shigui
6
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Stability of traveling waves for reaction-diffusion equations with multiplicative noise. Zbl 1414.35117
Hamster, C. H. S.; Hupkes, H. J.
5
2019
Bifurcation analysis of a Mosquito population model with a saturated release rate of sterile mosquitoes. Zbl 1428.34066
Huang, Jicai; Ruan, Shigui; Yu, Pei; Zhang, Yuyue
5
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Discovery of nonlinear multiscale systems: sampling strategies and embeddings. Zbl 07066586
Champion, Kathleen P.; Brunton, Steven L.; Kutz, J. Nathan
4
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Randomized dynamic mode decomposition. Zbl 1427.65410
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4
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Bichromatic travelling waves for lattice Nagumo equations. Zbl 1428.34029
Hupkes, Hermen Jan; Morelli, Leonardo; Stehlík, Petr
4
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Growing stripes, with and without wrinkles. Zbl 1423.35156
Avery, M.; Goh, R.; Goodloe, O.; Milewski, A.; Scheel, A.
4
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Spectral filtering of interpolant observables for a discrete-in-time downscaling data assimilation algorithm. Zbl 1428.35276
Celik, Emine; Olson, Eric; Titi, Edriss S.
4
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On the approximation of Koopman spectra for measure preserving transformations. Zbl 1436.28011
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4
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The linear stability of symmetric spike patterns for a bulk-membrane coupled Gierer-Meinhardt model. Zbl 1419.35107
Gomez, Daniel; Ward, Michael J.; Wei, Juncheng
4
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Number and stability of relaxation oscillations for predator-prey systems with small death rates. Zbl 1411.34064
Hsu, Ting-Hao
3
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Nonlinear dynamics in queueing theory: determining the size of oscillations in queues with delay. Zbl 1417.34202
Novitzky, Sophia; Pender, Jamol; Rand, Richard H.; Wesson, Elizabeth
3
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Drift of spectrally stable shifted states on star graphs. Zbl 1435.35401
Kairzhan, Adilbek; Pelinovsky, Dmitry E.; Goodman, Roy H.
3
2019
Stability analysis of line patterns of an anisotropic interaction model. Zbl 1430.35026
Carrillo, José A.; Düring, Bertram; Kreusser, Lisa Maria; Schönlieb, Carola-Bibiane
3
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The numerical computation of unstable manifolds for infinite dimensional dynamical systems by embedding techniques. Zbl 1435.37103
Ziessler, Adrian; Dellnitz, Michael; Gerlach, Raphael
3
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Pattern formation and oscillatory dynamics in a two-dimensional coupled bulk-surface reaction-diffusion system. Zbl 1428.37071
Paquin-Lefebvre, Frédéric; Nagata, Wayne; Ward, Michael J.
3
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Persistent homology of Morse decompositions in combinatorial dynamics. Zbl 1415.37058
Dey, Tamal K.; Juda, Mateusz; Kapela, Tomasz; Kubica, Jacek; Lipiński, Michał; Mrozek, Marian
3
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On co-orbital quasi-periodic motion in the three-body problem. Zbl 1448.70016
Cors, Josep M.; Palacián, Jesús F.; Yanguas, Patricia
2
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Replica-mean-field limits for intensity-based neural networks. Zbl 1435.92004
Baccelli, François; Taillefumier, Thibaud
2
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An optimal framework for nonfeedback stability control of chaos. Zbl 1443.34060
Wilson, Dan D.
2
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Regularization and geometry of piecewise smooth systems with intersecting discontinuity sets. Zbl 1431.37046
Kaklamanos, Panagiotis; Kristiansen, Kristian U.
2
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A West Nile virus transmission model with periodic incubation periods. Zbl 1423.35187
Wang, Feng-Bin; Wu, Ruiwen; Zhao, Xiao-Qiang
2
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Computation of a contraction metric for a periodic orbit using meshfree collocation. Zbl 1453.34061
Giesl, Peter
2
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Properties of the chemostat model with aggregated biomass and distinct removal rates. Zbl 1416.92178
Fekih-Salem, Radhouane; Sari, Tewfik
2
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Consensus and information cascades in game-theoretic imitation dynamics with static and dynamic network topologies. Zbl 1416.37080
Griffin, Christopher; Rajtmajer, Sarah; Squicciarini, Anna; Belmonte, Andrew
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Singular perturbation analysis of a regularized MEMS model. Zbl 1458.34103
Iuorio, Annalisa; Popović, Nikola; Szmolyan, Peter
2
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Sensitivity and bifurcation analysis of a differential-algebraic equation model for a microbial electrolysis cell. Zbl 1414.37037
Dudley, Harry J.; Lu, Lu; Ren, Zhiyong Jason; Bortz, David M.
2
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Dynamics of a mathematical hematopoietic stem-cell population model. Zbl 1416.34066
De Souza, Daniel C.; Humphries, A. R.
2
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Singularities and dynamics aspects of a particle in a gravitational field of a central punctual body surrounded by a solid circular ring. Zbl 1446.70032
Alberti, Angelo; Vidal, Claudio
1
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Bifurcation of relative equilibria in infinite-dimensional Hamiltonian systems. Zbl 1412.37072
Yagasaki, Kazuyuki; Yamazoe, Shotaro
1
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Comparison of combinatorial signatures of global network dynamics generated by two classes of ODE models. Zbl 1412.37079
Crawford-Kahrl, Peter; Cummins, Bree; Gedeon, Tomas
1
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Synchronization of electrically coupled resonate-and-fire neurons. Zbl 1429.92033
Chartrand, Thomas; Goldman, Mark S.; Lewis, Timothy J.
1
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Isotropic realizability of fields and reconstruction of invariant measures under positivity properties. Asymptotics of the flow by a non-ergodic approach. Zbl 1434.78005
Briane, Marc
1
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Invasion fronts outside the homoclinic snaking region in the planar Swift-Hohenberg equation. Zbl 1430.35028
Lloyd, David J. B.
1
2019
Global persistence of Lyapunov subcenter manifolds as spectral submanifolds under dissipative perturbations. Zbl 07147390
de la Llave, Rafael; Kogelbauer, Florian
1
2019
Synchrony and antisynchrony for difference-coupled vector fields on graph network systems. Zbl 1428.34073
Neuberger, John M.; Sieben, Nándor; Swift, James W.
1
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Heterogeneous inputs to central pattern generators can shape insect gaits. Zbl 1425.92036
Aminzare, Zahra; Holmes, Philip
1
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Analytical description of optimally time-dependent modes for reduced-order modeling of transient instabilities. Zbl 1433.70034
Blanchard, Antoine; Sapsis, Themistoklis P.
1
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Lyapunov function partial differential equations for chemical reaction networks: some special cases. Zbl 1426.35077
Fang, Zhou; Gao, Chuanhou
1
2019
Localized radial roll patterns in higher space dimensions. Zbl 1432.37111
Bramburger, Jason J.; Altschuler, Dylan; Avery, Chloe I.; Sangsawang, Tharathep; Beck, Margaret; Carter, Paul; Sandstede, Björn
1
2019
Consistent dynamic mode decomposition. Zbl 1428.37098
Azencot, Omri; Yin, Wotao; Bertozzi, Andrea
1
2019
Sofic shifts via Conley index theory: computing lower bounds on recurrent dynamics for maps. Zbl 1436.37018
Day, Sarah; Frongillo, Rafael
1
2019
Penalization of nonsmooth dynamical systems with noise: ergodicity and asymptotic formulae for threshold crossings probabilities. Zbl 1455.60087
Laurière, Mathieu; Mertz, Laurent
1
2019
The structure of MESSI biological systems. Zbl 1395.92071
Pérez Millán, Mercedes; Dickenstein, Alicia
20
2018
Long-time stability and accuracy of the ensemble Kalman-Bucy filter for fully observed processes and small measurement noise. Zbl 1391.93265
de Wiljes, Jana; Reich, Sebastian; Stannat, Wilhelm
16
2018
Cooperative epidemic spreading on a two-layered interconnected network. Zbl 1395.68045
Wei, Xiang; Wu, Xiaoqun; Chen, Shihua; Lu, Jun-An; Chen, Guanrong
14
2018
Variable projection methods for an optimized dynamic mode decomposition. Zbl 1384.37122
Askham, Travis; Kutz, J. Nathan
14
2018
Robust FEM-based extraction of finite-time coherent sets using scattered, sparse, and incomplete trajectories. Zbl 1408.37139
Froyland, Gary; Junge, Oliver
13
2018
Generalizing Koopman theory to allow for inputs and control. Zbl 1390.93226
Proctor, Joshua L.; Brunton, Steven L.; Kutz, J. Nathan
12
2018
On the existence and stability of fast traveling waves in a doubly diffusive FitzHugh-Nagumo system. Zbl 1406.35041
Cornwell, Paul; Jones, Christopher K. R. T.
11
2018
On equilibria and consensus of the Lohe model with identical oscillators. Zbl 1393.93062
Zhang, Jinxing; Zhu, Jiandong; Qian, Chunjiang
11
2018
Data-driven discovery of closure models. Zbl 1411.70023
Pan, Shaowu; Duraisamy, Karthik
11
2018
Analytic continuation of local (un)stable manifolds with rigorous computer assisted error bounds. Zbl 1409.65110
Kalies, William D.; Kepley, Shane; Mireles James, J. D.
10
2018
Emergence of phase-locking in the Kuramoto model for identical oscillators with frustration. Zbl 1387.34079
Ha, Seung-Yeal; Ko, Dongnam; Zhang, Yinglong
10
2018
Stability loss delay and smoothness of the return map in slow-fast systems. Zbl 1396.34042
Wang, Cheng; Zhang, Xiang
9
2018
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69 Ha, Seung-Yeal
42 Llibre, Jaume
40 Ward, Michael J.
38 Krauskopf, Bernd
36 Osinga, Hinke Maria
35 Lessard, Jean-Philippe
32 Mireles-James, Jason D.
31 Bressloff, Paul C.
29 Kevrekidis, Ioannis George
29 Sandstede, Björn
29 Stewart, Ian Nicholas
28 Wechselberger, Martin
27 Kühn, Christian
27 Kutz, J. Nathan
26 Rubin, Jonathan E.
26 Scheel, Arnd
24 Carrillo de la Plata, José Antonio
23 Desroches, Mathieu
23 Zhao, Xiao-Qiang
22 Brunton, Steven L.
22 Pelinovsky, Dmitry Efimovich
21 de la Llave, Rafael
21 Laing, Carlo R.
21 Mezić, Igor
21 Shen, Wenxian
21 Wei, Juncheng
20 Coombes, Stephen
19 Kevrekidis, Panayotis G.
19 Knobloch, Edgar
19 Kolokolnikov, Theodore
19 Mischaikow, Konstantin
19 Moehlis, Jeff
19 Ponce, Enrique
18 Balasuriya, Sanjeeva
18 Doelman, Arjen
18 Hupkes, Hermen Jan
18 Krupa, Martin
18 Novaes, Douglas Duarte
18 van Heijster, Peter
18 Zgliczyński, Piotr
17 Adimy, Mostafa
17 Chen, Guanrong
17 Golubitsky, Martin A.
17 Jeffrey, Mike R.
17 Kilpatrick, Zachary P.
17 Porfiri, Maurizio
17 Wang, Bixiang
16 Ashwin, Peter
16 Bollt, Erik M.
16 Faye, Grégory
16 Kim, Dohyun
16 Sherratt, Jonathan A.
16 Teixeira, Marco Antonio
16 van den Berg, Jan Bouwe
15 Blömker, Dirk
15 Cao, Jinde
15 de Carvalho, Tiago
15 Dias, Ana Paula S.
15 Fetecau, Razvan C.
14 Belykh, Igor V.
14 Lawley, Sean D.
14 Park, Hansol
14 Park, Jinyeong
14 Rademacher, Jens Diederich Michael
14 Simpson, David John Warwick
14 Wyller, John A.
13 Aguiar, Manuela A. D.
13 Craciun, Gheorghe
13 Crauste, Fabien
13 Kaper, Tasso J.
13 Li, Zhuchun
13 Palacián, Jesús F.
13 Shi, Junping
13 Wilson, Dan D.
13 Yanguas, Patricia
13 Zhang, Mingji
12 Cai, Yongli
12 Duan, Jinqiao
12 Froyland, Gary
12 Lăzureanu, Cristian
12 Páez Chávez, Joseph Nikolai
12 M-Seara, Tere
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12 Wanner, Thomas
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11 Barrio, Roberto
11 Feliu, Elisenda
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11 Jiang, Jifa
11 Lee, Jaeseung
11 Liu, Weishi
11 Mrozek, Marian
11 Pilarczyk, Paweł
11 Ruan, Shigui
11 Shiu, Anne
11 Tonon, Durval José
11 Tzou, Justin C.
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Cited in 424 Journals

334 SIAM Journal on Applied Dynamical Systems
306 Chaos
264 Physica D
259 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
226 Journal of Differential Equations
143 Journal of Nonlinear Science
135 Discrete and Continuous Dynamical Systems. Series B
117 Nonlinear Dynamics
108 Journal of Mathematical Analysis and Applications
108 Communications in Nonlinear Science and Numerical Simulation
96 Journal of Mathematical Biology
90 Nonlinearity
89 Bulletin of Mathematical Biology
89 Journal of Dynamics and Differential Equations
75 Applied Mathematics and Computation
73 SIAM Journal on Applied Mathematics
72 Journal of Fluid Mechanics
71 Nonlinear Analysis. Real World Applications
70 Discrete and Continuous Dynamical Systems
67 Journal of Theoretical Biology
60 Automatica
54 The Journal of Mathematical Neuroscience
53 Journal of Computational Physics
49 Journal of Statistical Physics
49 Journal of Computational and Applied Mathematics
48 SIAM Journal on Mathematical Analysis
46 Journal of Mathematical Physics
46 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
45 Chaos, Solitons and Fractals
43 Journal of Computational Neuroscience
43 Mathematical Biosciences and Engineering
42 Mathematical Biosciences
38 Biological Cybernetics
38 Qualitative Theory of Dynamical Systems
37 Regular and Chaotic Dynamics
35 Applied Mathematics Letters
31 SIAM Journal on Scientific Computing
30 European Journal of Applied Mathematics
30 Dynamical Systems
30 Journal of Computational Dynamics
29 Archive for Rational Mechanics and Analysis
28 Journal of the Franklin Institute
28 Neural Computation
28 Celestial Mechanics and Dynamical Astronomy
28 Mathematical Modelling of Natural Phenomena
27 Abstract and Applied Analysis
25 Computers & Mathematics with Applications
24 Applicable Analysis
24 Communications in Mathematical Physics
23 Acta Applicandae Mathematicae
22 ZAMP. Zeitschrift für angewandte Mathematik und Physik
22 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
22 Journal of Difference Equations and Applications
22 Mathematical Problems in Engineering
22 Discrete and Continuous Dynamical Systems. Series S
20 Computer Methods in Applied Mechanics and Engineering
20 Proceedings of the American Mathematical Society
20 Applied Mathematical Modelling
19 SIAM Review
19 Communications on Pure and Applied Analysis
18 Quarterly of Applied Mathematics
18 Systems & Control Letters
17 SIAM Journal on Control and Optimization
17 Studies in Applied Mathematics
17 Advances in Difference Equations
17 Journal of Biological Dynamics
16 Complexity
16 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
15 Mathematical Methods in the Applied Sciences
15 Numerische Mathematik
15 Transactions of the American Mathematical Society
15 Journal of Scientific Computing
15 Multiscale Modeling & Simulation
15 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
14 Advances in Computational Mathematics
14 Discrete Dynamics in Nature and Society
14 Networks and Heterogeneous Media
13 Physics Letters. A
13 SIAM Journal on Numerical Analysis
13 Neural Networks
12 Ergodic Theory and Dynamical Systems
12 Applied Numerical Mathematics
12 Japan Journal of Industrial and Applied Mathematics
12 Foundations of Computational Mathematics
12 Nonlinear Analysis. Hybrid Systems
12 SIAM/ASA Journal on Uncertainty Quantification
11 Mathematics and Computers in Simulation
11 Journal of Mathematical Chemistry
11 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
11 International Journal of Biomathematics
11 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
10 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
10 Indagationes Mathematicae. New Series
10 Applied and Computational Harmonic Analysis
10 Journal of Mathematical Sciences (New York)
10 Journal of Applied Mathematics
10 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
10 Journal of Physics A: Mathematical and Theoretical
9 Journal of Functional Analysis
9 Physics of Fluids
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Cited in 59 Fields

1,756 Dynamical systems and ergodic theory (37-XX)
1,737 Ordinary differential equations (34-XX)
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430 Mechanics of particles and systems (70-XX)
357 Fluid mechanics (76-XX)
304 Probability theory and stochastic processes (60-XX)
191 Statistical mechanics, structure of matter (82-XX)
151 Mechanics of deformable solids (74-XX)
140 Calculus of variations and optimal control; optimization (49-XX)
120 Computer science (68-XX)
117 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
111 Operations research, mathematical programming (90-XX)
110 Operator theory (47-XX)
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84 Statistics (62-XX)
83 Combinatorics (05-XX)
83 Difference and functional equations (39-XX)
80 Information and communication theory, circuits (94-XX)
69 Optics, electromagnetic theory (78-XX)
56 Classical thermodynamics, heat transfer (80-XX)
56 Quantum theory (81-XX)
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41 Linear and multilinear algebra; matrix theory (15-XX)
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