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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: Journal; Indexed cover-to-cover; Published electronic only as of Vol. 1 (2002).
Documents Indexed: 1,333 Publications (since 2002)
References Indexed: 782 Publications with 33,571 References.
all top 5

Authors

24 Krauskopf, Bernd
18 Osinga, Hinke Maria
17 Champneys, Alan R.
17 Kutz, J. Nathan
16 Uldall Kristiansen, K.
15 Rubin, Jonathan E.
14 Ward, Michael J.
13 Bressloff, Paul C.
13 Golubitsky, Martin A.
13 Guckenheimer, John M.
13 Ha, Seung-Yeal
13 Meiss, James D.
12 Mischaikow, Konstantin
12 Sandstede, Björn
11 Mireles-James, Jason D.
11 Rademacher, Jens Diederich Michael
11 Wechselberger, Martin
10 de la Llave, Rafael
10 Hogan, S. John
10 Lessard, Jean-Philippe
9 Bollt, Erik M.
9 Doelman, Arjen
9 Mezić, Igor
9 Porter, Mason Alexander
9 Scheel, Arnd
9 Wilson, Dan D.
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 Moehlis, Jeff
8 Pelinovsky, Dmitry Efimovich
8 Stewart, Ian Nicholas
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 Kühn, Christian
7 Kuznetsov, Yuri Alexandrovich
7 Postlethwaite, Claire M.
7 Rucklidge, Alastair M.
7 Sieber, Jan
7 Zgliczyński, Piotr
6 Ashwin, Peter
6 Coombes, Stephen
6 Dullin, Holger R.
6 Kopell, Nancy J.
6 Lloyd, David J. B.
6 Mrozek, Marian
6 Palacián, Jesús F.
6 Starke, Jens
6 Terman, David Hillel
6 van den Berg, Jan Bouwe
6 Vidal, Claudio
6 Wilczak, Daniel
6 Yanchuk, Sergiĭ Volodymyrovych
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 Jeffrey, Mike R.
5 Lee, Euiwoo
5 Lewis, Mark Alun
5 Lewis, Timothy J.
5 Rom-Kedar, Vered
5 Rotstein, Horacio G.
5 Rowley, Clarence Worth
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 Bertram, Richard
4 Beyn, Wolf-Jürgen
4 Blömker, Dirk
4 Booth, Victoria
4 Bose, Amitabha
4 Buono, Pietro-Luciano
4 Capinski, Maciej J.
4 Cappelletti, Daniele
4 Chiba, Hayato
4 Chow, Carson C.
4 Colombo, Alessandro G.
...and 2,049 more Authors
all top 5

Fields

757 Dynamical systems and ergodic theory (37-XX)
550 Ordinary differential equations (34-XX)
397 Biology and other natural sciences (92-XX)
311 Partial differential equations (35-XX)
186 Numerical analysis (65-XX)
172 Mechanics of particles and systems (70-XX)
84 Systems theory; control (93-XX)
82 Probability theory and stochastic processes (60-XX)
76 Fluid mechanics (76-XX)
45 Statistical mechanics, structure of matter (82-XX)
41 Computer science (68-XX)
37 Combinatorics (05-XX)
33 Operations research, mathematical programming (90-XX)
32 Mechanics of deformable solids (74-XX)
32 Optics, electromagnetic theory (78-XX)
31 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
29 Calculus of variations and optimal control; optimization (49-XX)
28 Difference and functional equations (39-XX)
27 Statistics (62-XX)
23 Integral equations (45-XX)
22 Operator theory (47-XX)
19 Linear and multilinear algebra; matrix theory (15-XX)
18 Classical thermodynamics, heat transfer (80-XX)
18 Information and communication theory, circuits (94-XX)
14 Geophysics (86-XX)
9 Global analysis, analysis on manifolds (58-XX)
9 Quantum theory (81-XX)
8 Approximations and expansions (41-XX)
8 General topology (54-XX)
8 Algebraic topology (55-XX)
7 Convex and discrete geometry (52-XX)
7 Differential geometry (53-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)
3 Harmonic analysis on Euclidean spaces (42-XX)
2 Field theory and polynomials (12-XX)
2 Commutative algebra (13-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

Citations contained in zbMATH Open

1,089 Publications have been cited 12,967 times in 8,170 Documents Cited by Year
Basic reproduction numbers for reaction-diffusion epidemic models. Zbl 1259.35120
Wang, Wendi; Zhao, Xiao-Qiang
296
2012
Wave structure and nonlinear balances in a family of evolutionary PDEs. Zbl 1088.76531
Holm, Darryl D.; Staley, Martin F.
150
2003
Symmetry groupoids and patterns of synchrony in coupled cell networks. Zbl 1089.34032
Stewart, Ian; Golubitsky, Martin; Pivato, Marcus
132
2003
On the critical coupling for Kuramoto oscillators. Zbl 1242.34096
Dörfler, Florian; Bullo, Francesco
130
2011
Canonical discontinuous planar piecewise linear systems. Zbl 1242.34020
Freire, Emilio; Ponce, Enrique; Torres, Francisco
128
2012
Patterns of synchrony in coupled cell networks with multiple arrows. Zbl 1090.34030
Golubitsky, Martin; Stewart, Ian; Török, Andrei
124
2005
Existence and bifurcation of canards in \(\mathbb R^3\) in the case of a folded node. Zbl 1090.34047
Wechselberger, Martin
109
2005
Global synchronization of linearly hybrid coupled networks with time-varying delay. Zbl 1161.94011
Yu, Wenwu; Cao, Jinde; Lü, Jinhu
107
2008
Dynamic mode decomposition with control. Zbl 1334.65199
Proctor, Joshua L.; Brunton, Steven L.; Kutz, J. Nathan
97
2016
Sufficient conditions for fast switching synchronization in time-varying network topologies. Zbl 1145.37345
Stilwell, Daniel J.; Bollt, Erik M.; Roberson, D. Gray
90
2006
Ergodic theory, dynamic mode decomposition, and computation of spectral properties of the Koopman operator. Zbl 1381.37096
Arbabi, Hassan; Mezić, Igor
89
2017
Spatiotemporal dynamics of the diffusive mussel-algae model near Turing-Hopf bifurcation. Zbl 1382.35035
Song, Yongli; Jiang, Heping; Liu, Quan-Xing; Yuan, Yuan
73
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.
66
2004
Nonlinear patterns in urban crime: hotspots, bifurcations, and suppression. Zbl 1282.91273
Short, M. B.; Bertozzi, A. L.; Brantingham, P. J.
65
2010
A primer of swarm equilibria. Zbl 1255.35012
Bernoff, Andrew J.; Topaz, Chad M.
64
2011
PDE methods for nonlocal models. Zbl 1088.34011
Laing, Carlo R.; Troy, William C.
63
2003
Mixed-mode oscillations in three time-scale systems: a prototypical example. Zbl 1167.34346
Krupa, Martin; Popović, Nikola; Kopell, Nancy
63
2008
Neuronal networks with gap junctions: a study of piecewise linear planar neuron models. Zbl 1159.92008
Coombes, S.
63
2008
On the implementation of the 0-1 test for chaos. Zbl 1161.37054
Gottwald, Georg A.; Melbourne, Ian
62
2009
Classification of asymptotic behavior in a stochastic SIR model. Zbl 1343.34109
Dieu, N. T.; Nguyen, D. H.; Du, N. H.; Yin, G.
62
2016
Random attractors for delay parabolic equations with additive noise and deterministic nonautonomous forcing. Zbl 1317.60081
Wang, Xiaohu; Lu, Kening; Wang, Bixiang
60
2015
Interacting Langevin diffusions: gradient structure and ensemble Kalman sampler. Zbl 1447.65119
Garbuno-Inigo, Alfredo; Hoffmann, Franca; Li, Wuchen; Stuart, Andrew M.
58
2020
Global phase-locking in finite populations of phase-coupled oscillators. Zbl 1167.34330
Verwoerd, Mark; Mason, Oliver
56
2008
Localized hexagon patterns of the planar Swift-Hohenberg equation. Zbl 1168.35311
Lloyd, David J. B.; Sandstede, Björn; Avitabile, Daniele; Champneys, Alan R.
56
2008
Evans functions for integral neural field equations with Heaviside firing rate function. Zbl 1067.92019
Coombes, S.; Owen, M. R.
56
2004
Singular Hopf bifurcation in systems with two slow variables. Zbl 1168.37025
Guckenheimer, John
55
2008
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
54
2009
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.
53
2007
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.
53
2005
Defects in oscillatory media: toward a classification. Zbl 1059.37062
Sandstede, Björn; Scheel, Arnd
53
2004
Long period oscillations in a \(G_{0}\) model of hematopoietic stem cells. Zbl 1110.34050
Pujo-Menjouet, Laurent; Bernard, Samuel; Mackey, Michael C.
52
2005
A geometric approach to the global attractor conjecture. Zbl 1301.34063
Gopalkrishnan, Manoj; Miller, Ezra; Shiu, Anne
51
2014
Multiresolution dynamic mode decomposition. Zbl 1338.37121
Kutz, J. Nathan; Fu, Xing; Brunton, Steven L.
51
2016
Data-driven identification of parametric partial differential equations. Zbl 1456.65096
Rudy, Samuel; Alla, Alessandro; Brunton, Steven L.; Kutz, J. Nathan
51
2019
\(R_0\) analysis of a spatiotemporal model for a stream population. Zbl 1252.35068
Mckenzie, H. W.; Jin, Y.; Jacobsen, J.; Lewis, M. A.
49
2012
Breathing pulses in an excitatory neural network. Zbl 1058.92010
Folias, Stefanos E.; Bressloff, Paul C.
49
2004
HJB-POD-based feedback design for the optimal control of evolution problems. Zbl 1058.35061
Kunisch, K.; Volkwein, S.; Xie, L.
49
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.
49
2016
Power-law kinetics and determinant criteria for the preclusion of multistationarity in networks of interacting species. Zbl 1278.92012
Wiuf, Carsten; Feliu, Elisenda
49
2013
The stability and dynamics of localized spot patterns in the two-dimensional Gray-Scott model. Zbl 1223.35033
Chen, W.; Ward, M. J.
48
2011
A computational and geometric approach to phase resetting curves and surfaces. Zbl 1216.34030
Guillamon, Antoni; Huguet, Gemma
48
2009
The forced van der Pol equation. I: The slow flow and its bifurcations. Zbl 1088.37504
Guckenheimer, John; Hoffman, Kathleen; Weckesser, Warren
48
2003
Higher order dynamic mode decomposition. Zbl 1373.37169
Le Clainche, Soledad; Vega, José M.
47
2017
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
47
2016
Nonsmooth Lagrangian mechanics and variational collision integrators. Zbl 1088.37045
Fetecau, R. C.; Marsden, J. E.; Ortiz, M.; West, M.
45
2003
Freezing solutions of equivariant evolution equations. Zbl 1061.65078
Beyn, W.-J.; Thümmler, V.
45
2004
Kink-antikink collisions in the \(\phi^4\) equation: the \(n\)-bounce resonance and the separatrix map. Zbl 1145.74370
Goodman, Roy H.; Haberman, Richard
44
2005
Complete entrainment of Lohe oscillators under attractive and repulsive couplings. Zbl 1310.34060
Choi, Sun-Ho; Ha, Seung-Yeal
44
2014
Nondeterministic chaos, and the two-fold singularity in piecewise smooth flows. Zbl 1227.34044
Colombo, Alessandro; Jeffrey, Mike R.
42
2011
Asymptotic dynamics of attractive-repulsive swarms. Zbl 1168.92045
Leverentz, Andrew J.; Topaz, Chad M.; Bernoff, Andrew J.
42
2009
On computing the critical coupling coefficient for the Kuramoto model on a complete bipartite graph. Zbl 1167.34331
Verwoerd, Mark; Mason, Oliver
41
2009
Linearly recurrent autoencoder networks for learning dynamics. Zbl 1489.65164
Otto, Samuel E.; Rowley, Clarence W.
41
2019
The two-fold singularity of discontinuous vector fields. Zbl 1178.34042
Jeffrey, M. R.; Colombo, A.
40
2009
Chaos in the Hodgkin–Huxley model. Zbl 1002.92005
Guckenheimer, John; Oliva, Ricardo A.
40
2002
Uniform attractors for nonautonomous wave equations with nonlinear damping. Zbl 1210.35160
Sun, Chunyou; Cao, Daomin; Duan, Jinqiao
39
2007
Dynamics at a switching intersection: hierarchy, isonomy, and multiple sliding. Zbl 1310.34018
Jeffrey, Mike R.
39
2014
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
39
2010
Noise-induced behaviors in neural mean field dynamics. Zbl 1235.92016
Touboul, Jonathan; Hermann, Geoffroy; Faugeras, Olivier
38
2012
Asymptotic expansions of I-V relations via a Poisson-Nernst-Planck system. Zbl 1167.34361
Abaid, Nicole; Eisenberg, Robert S.; Liu, Weishi
38
2008
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.
37
2015
Study of singularities in nonsmooth dynamical systems via singular perturbation. Zbl 1167.34304
Llibre, Jaume; Da Silva, Paulo R.; Teixeira, Marco A.
36
2009
Rigorous numerics for global dynamics: a study of the Swift-Hohenberg equation. Zbl 1058.35050
Day, Sarah; Hiraoka, Yasuaki; Mischaikow, Konstantin; Ogawa, Toshiyuki
36
2005
Stationary states and asymptotic behavior of aggregation models with nonlinear local repulsion. Zbl 1302.35386
Burger, Martin; Fetecau, Razvan; Huang, Yanghong
36
2014
Speeds of spread and propagation for KPP models in time almost and space periodic media. Zbl 1172.35423
Huang, Jianhua; Shen, Wenxian
36
2009
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.
36
2015
Wandering bumps in stochastic neural fields. Zbl 1278.92007
Kilpatrick, Zachary P.; Ermentrout, Bard
36
2013
Bifurcations in delay differential equations and applications to tumor and immune system interaction models. Zbl 1284.34118
Bi, Ping; Ruan, Shigui
36
2013
Homoclinic orbits of the FitzHugh-Nagumo equation: bifurcations in the full system. Zbl 1210.34060
Guckenheimer, John; Kuehn, Christian
35
2010
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.
35
2005
Existence and stability of standing pulses in neural networks. I: Existence. Zbl 1109.34002
Guo, Yixin; Chow, Carson C.
34
2005
Continuation of quasi-periodic invariant tori. Zbl 1090.37057
Schilder, Frank; Osinga, Hinke M.; Vogt, Werner
34
2005
A collisionless singular Cucker-Smale model with decentralized formation control. Zbl 1432.34063
Choi, Young-Pil; Kalise, Dante; Peszek, Jan; Peters, Andrés A.
34
2019
Integration of dissipative partial differential equations: a case study. Zbl 1298.37071
Arioli, Gianni; Koch, Hans
34
2010
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
33
2007
Front propagation in stochastic neural fields. Zbl 1246.92004
Bressloff, Paul C.; Webber, Matthew A.
33
2012
Variable projection methods for an optimized dynamic mode decomposition. Zbl 1384.37122
Askham, Travis; Kutz, J. Nathan
33
2018
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.
33
2004
\(R_0\) analysis of a benthic-drift model for a stream population. Zbl 1364.92059
Huang, Qihua; Jin, Yu; Lewis, Mark A.
33
2016
Dynamics of a time-delayed Lyme disease model with seasonality. Zbl 1365.35075
Wang, Xiunan; Zhao, Xiao-Qiang
33
2017
Local/global analysis of the stationary solutions of some neural field equations. Zbl 1194.92015
Veltz, Romain; Faugeras, Olivier
33
2010
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
On the state space geometry of the Kuramoto-Sivashinsky flow in a periodic domain. Zbl 1267.35027
Cvitanović, Predrag; Davidchack, Ruslan L.; Siminos, Evangelos
32
2010
Random attractor for damped nonlinear wave equations with white noise. Zbl 1094.35154
Zhou, Shengfan; Yin, Fuqi; Ouyang, Zigen
32
2005
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
32
2005
TC-HAT (\(\widehat{TC}\)): a novel toolbox for the continuation of periodic trajectories in hybrid dynamical systems. Zbl 1192.34004
Thota, Phanikrishna; Dankowicz, Harry
32
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
32
2008
Computing slow manifolds of saddle type. Zbl 1176.37026
Guckenheimer, John; Kuehn, Christian
32
2009
Semistrong pulse interactions in a class of coupled reaction-diffusion equations. Zbl 1088.35517
Doelman, Arjen; Kaper, Tasso J.
32
2003
An analytical approach to codimension-2 sliding bifurcations in the dry-friction oscillator. Zbl 1201.37086
Guardia, Marcel; Hogan, S. John; Seara, Tere M.
32
2010
The Melnikov method and subharmonic orbits in a piecewise-smooth system. Zbl 1262.37028
Granados, A.; Hogan, S. J.; Seara, T. M.
32
2012
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
32
2013
Computation of limit cycles and their isochrons: fast algorithms and their convergence. Zbl 1291.37108
Huguet, Gemma; de la Llave, Rafael
32
2013
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
31
2006
Neural fields with distributed transmission speeds and long-range feedback delays. Zbl 1210.34118
Atay, Fatihcan M.; Hutt, Axel
31
2006
Some canonical bifurcations in the Swift-Hohenberg equation. Zbl 1210.34028
Peletier, L. A.; Williams, J. F.
31
2007
Chaotic braided solutions via rigorous numerics: chaos in the Swift-Hohenberg equation. Zbl 1408.37062
van den Berg, Jan Bouwe; Lessard, Jean-Philippe
31
2008
A computational method to extract macroscopic variables and their dynamics in multiscale systems. Zbl 1320.37012
Froyland, Gary; Gottwald, Georg A.; Hammerlindl, Andy
31
2014
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.
31
2015
Homoclinic stripe patterns. Zbl 1004.35063
Doelman, Arjen; van der Ploeg, Harmen
31
2002
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
31
2018
Reaction network motifs for static and dynamic absolute concentration robustness. Zbl 1522.37091
Joshi, Badal; Craciun, Gheorghe
3
2023
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
3
2023
Stability analysis of the immune system induced by chemotaxis. Zbl 07741166
Zheng, Pan; Shan, Wenhai; Liao, Guangyuan
3
2023
Phase oscillator networks with nonlocal higher-order interactions: twisted states, stability, and bifurcations. Zbl 1523.35273
Bick, Christian; Böhle, Tobias; Kuehn, Christian
2
2023
Degenerate Turing bifurcation and the birth of localized patterns in activator-inhibitor systems. Zbl 07723356
Villar-Sepúlveda, Edgardo; Champneys, Alan
2
2023
Non-Markovian models of opinion dynamics on temporal networks. Zbl 1522.91185
Chu, Weiqi; Porter, Mason A.
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
Resonances and phase locking phenomena for foliation preserving torus maps. Zbl 1515.37060
He, Xiaolong; de la Llave, Rafael
2
2023
Low-order parametric state-space modeling of MIMO systems in the Loewner framework. Zbl 07773362
Vojkovic, Tea; Quero, David; Poussot-Vassal, Charles; Vuillemin, Pierre
1
2023
Fast adjoint algorithm for linear responses of hyperbolic chaos. Zbl 07773370
Ni, Angxiu
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
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
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 07712425
Sequeira, Pedro M.; Hespanha, João P.; Pedro Aguiar, A.
1
2023
Geometric singular perturbation analysis of the multiple-timescale Hodgkin-Huxley equations. Zbl 1522.34074
Kaklamanos, Panagiotis; Popović, Nikola; Kristiansen, Kristian U.
1
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
1
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
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
Hyperdissipative Navier-Stokes equations driven by time-dependent forces: invariant manifolds. Zbl 07674591
Wang, Rong-Nian; Zhao, Jia-Cheng; Miranville, Alain
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
20
2022
Local and global existence for nonlocal multispecies advection-diffusion models. Zbl 1494.35002
Giunta, Valeria; Hillen, Thomas; Lewis, Mark; Potts, Jonathan R.
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Modeling multilane traffic with moving obstacles by nonlocal balance laws. Zbl 1497.35315
Bayen, Alexandre; Friedrich, Jan; Keimer, Alexander; Pflug, Lukas; Veeravalli, Tanya
8
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An adaptive phase-amplitude reduction framework without \(\mathcal{O}(\epsilon)\) constraints on inputs. Zbl 1490.34045
Wilson, Dan
6
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Emergent behaviors of rotation matrix flocks. Zbl 1513.70057
Fetecau, Razvan C.; Ha, Seung-Yeal; Park, Hansol
5
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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.
5
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Efficient computation of linear response of chaotic attractors with one-dimensional unstable manifolds. Zbl 1497.37103
Chandramoorthy, Nisha; Wang, Qiqi
4
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A bounded-confidence model of opinion dynamics on hypergraphs. Zbl 1482.91163
Hickok, Abigail; Kureh, Yacoub; Brooks, Heather Z.; Feng, Michelle; Porter, Mason A.
4
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Graphop mean-field limits for Kuramoto-type models. Zbl 1483.35270
Gkogkas, Marios Antonios; Kuehn, Christian
4
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Limitations and improvements of the intelligent driver model (IDM). Zbl 1512.90062
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4
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Derivative-free Bayesian inversion using multiscale dynamics. Zbl 1493.62132
Pavliotis, G. A.; Stuart, A. M.; Vaes, U.
4
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Persistence of Conley-Morse graphs in combinatorial dynamical systems. Zbl 1498.37069
Dey, Tamal K.; Mrozek, Marian; Slechta, Ryan
3
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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.
3
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Modulation and amplitude equations on bounded domains for nonlinear SPDEs driven by cylindrical \(\alpha\)-stable Lévy processes. Zbl 1492.60197
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3
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Dynamics of small particle inertial migration in curved square ducts. Zbl 1486.76098
Ha, Kyung; Harding, Brendan; Bertozzi, Andrea L.; Stokes, Yvonne M.
3
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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
2
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Eigenfunction martingale estimators for interacting particle systems and their mean field limit. Zbl 1505.35334
Pavliotis, Grigorios A.; Zanoni, Andrea
2
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Bifurcations and dynamics in inertial focusing of particles in curved rectangular ducts. Zbl 1503.76041
Valani, Rahil N.; Harding, Brendan; Stokes, Yvonne M.
2
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Bulk topological states in a new collective dynamics model. Zbl 1515.70009
Degond, Pierre; Diez, Antoine; Na, Mingye
2
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Sequential attractors in combinatorial threshold-linear networks. Zbl 1491.92037
Parmelee, Caitlyn; Alvarez, Juliana Londono; Curto, Carina; Morrison, Katherine
2
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Poisson structure and reduction by stages of the full gravitational \(N\)-body problem. Zbl 1505.70033
Crespo, Francisco; Turner, Edward A.
2
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Dynamics of \(N\)-spot rings with oscillatory tails in a three-component reaction-diffusion system. Zbl 1497.35301
Nishiura, Yasumasa; Xie, Shuangquan
2
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Validated spectral stability via conjugate points. Zbl 1494.37046
Beck, Margaret; Jaquette, Jonathan
2
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Anti-integrability for three-dimensional quadratic maps. Zbl 1528.37056
Hampton, Amanda E.; Meiss, James D.
2
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Quasi-steady-state and singular perturbation reduction for reaction networks with noninteracting species. Zbl 1496.92029
Feliu, Elisenda; Lax, Christian; Walcher, Sebastian; Wiuf, Carsten
1
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Stationary and time-dependent molecular distributions in slow-fast feedback circuits. Zbl 1490.92025
Bokes, Pavol
1
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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
1
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Process-oriented geometric singular perturbation theory and calcium dynamics. Zbl 1497.34060
Jelbart, Samuel; Pages, Nathan; Kirk, Vivien; Sneyd, James; Wechselberger, Martin
1
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A graph-theoretic condition for delay stability of reaction systems. Zbl 1500.34073
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1
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Angular values of nonautonomous and random linear dynamical systems. I: Fundamentals. Zbl 1498.37040
Beyn, Wolf-Jürgen; Froyland, Gary; Hüls, Thorsten
1
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Dynamics of nonpolar solutions to the discrete Painlevé I equation. Zbl 1506.39013
Ercolani, Nicholas; Lega, Joceline; Tippings, Brandon
1
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Robust and scalable methods for the dynamic mode decomposition. Zbl 1490.37100
Askham, Travis; Zheng, Peng; Aravkin, Aleksandr; Kutz, J. Nathan
1
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Mechanistic modeling of longitudinal shape changes: equations of motion and inverse problems. Zbl 1481.49045
Hsieh, Dai-Ni; Arguillère, Sylvain; Charon, Nicolas; Younes, Laurent
1
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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
1
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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
1
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Periodic waves of the modified KdV equation as minimizers of a new variational problem. Zbl 1503.35200
Le, Uyen; Pelinovsky, Dmitry E.
1
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Distinct excitatory and inhibitory bump wandering in a stochastic neural field. Zbl 1504.35579
Cihak, Heather L.; Eissa, Tahra L.; Kilpatrick, Zachary P.
1
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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
1
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Numerical computation of high-order expansions of invariant manifolds of high-dimensional tori. Zbl 1503.37085
Gimeno, Joan; Jorba, Àngel; Nicolás, Begoña; Olmedo, Estrella
1
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
1
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Robust approximation of the stochastic Koopman operator. Zbl 1503.37086
Wanner, Mathias; Mezić, Igor
1
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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
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Optimal energy shaping via neural approximators. Zbl 07589183
Massaroli, Stefano; Poli, Michael; Califano, Federico; Park, Jinkyoo; Yamashita, Atsushi; Asama, Hajime
1
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Uncertainty propagation for general stochastic hybrid systems on compact Lie groups. Zbl 1498.93335
Wang, Weixin; Lee, Taeyoung
1
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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
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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.
1
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Dynamical organization of recollisions by a family of invariant tori. Zbl 07484042
Dubois, J.; Jorba-Cuscó, M.; Jorba, À.; Chandre, C.
1
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Asymptotic behavior of fronts and pulses of the bidomain model. Zbl 1486.35116
Matano, Hiroshi; Mori, Yoichiro; Nara, Mitsunori; Sakakibara, Koya
1
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A simple proof of asymptotic consensus in the Hegselmann-Krause and Cucker-Smale models with normalization and delay. Zbl 1466.34073
Haskovec, Jan
16
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Global dynamics of a Lotka-Volterra competition-diffusion system in advective heterogeneous environments. Zbl 1476.35053
Tang, De; Chen, Yuming
13
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Data assimilation for the Navier-Stokes equations using local observables. Zbl 1480.35309
Biswas, Animikh; Bradshaw, Zachary; Jolly, Michael S.
10
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High-frequency instabilities of the Kawahara equation: a perturbative approach. Zbl 1478.35072
Creedon, Ryan; Deconinck, Bernard; Trichtchenko, Olga
8
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Optimal control of oscillation timing and entrainment using large magnitude inputs: an adaptive phase-amplitude-coordinate-based approach. Zbl 1475.92021
Wilson, Dan
6
2021
Symbolic proof of bistability in reaction networks. Zbl 1465.37105
Torres, Angélica; Feliu, Elisenda
6
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Rigorous verification of Hopf bifurcations via desingularization and continuation. Zbl 1476.37094
van den Berg, Jan Bouwe; Lessard, Jean-Philippe; Queirolo, Elena
6
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A subgradient algorithm for data-rate optimization in the remote state estimation problem. Zbl 1478.93074
Kawan, Christoph; Hafstein, Sigurdur; Giesl, Peter
5
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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.
5
2021
Multistability of small reaction networks. Zbl 1469.92051
Tang, Xiaoxian; Xu, Hao
5
2021
Rough path theory to approximate random dynamical systems. Zbl 1475.60102
Gao, H.; Garrido-Atienza, M. J.; Gu, A.; Lu, K.; Schmalfuß, B.
5
2021
Equilibria and their stability in networks with steep sigmoidal nonlinearities. Zbl 1483.37107
Duncan, William; Gedeon, Tomas; Kokubu, Hiroshi; Mischaikow, Konstantin; Oka, Hiroe
4
2021
Nanoptera in weakly nonlinear woodpile chains and diatomic granular chains. Zbl 1484.34061
Deng, Guo; Lustri, Christopher J.; Porter, Mason A.
4
2021
Dynamic transitions and bifurcations for a class of axisymmetric geophysical fluid flow. Zbl 1461.76172
Han, Daozhi; Hernandez, Marco; Wang, Quan
4
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.
4
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
4
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.
4
2021
Conley’s fundamental theorem for a class of hybrid systems. Zbl 1480.37027
Kvalheim, Matthew D.; Gustafson, Paul; Koditschek, Daniel E.
4
2021
The pair-replica-mean-field limit for intensity-based neural networks. Zbl 1465.37064
Baccelli, François; Taillefumier, Thibaud
3
2021
Data-driven learning for the Mori-Zwanzig formalism: a generalization of the Koopman learning framework. Zbl 1489.37096
Lin, Yen Ting; Tian, Yifeng; Livescu, Daniel; Anghel, Marian
3
2021
Stability domains for quadratic-bilinear reduced-order models. Zbl 1472.34105
Kramer, Boris
3
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
3
2021
High-order accuracy computation of coupling functions for strongly coupled oscillators. Zbl 1472.92051
Park, Youngmin; Wilson, Dan D.
3
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
2
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
2
2021
Pattern formation and transition to chaos in a chemotaxis model of acute inflammation. Zbl 1475.92032
Giunta, Valeria; Lombardo, Maria Carmela; Sammartino, Marco
2
2021
Well-posedness and asymptotics of a coordinate-free model of flame fronts. Zbl 1479.35086
Ambrose, David M.; Hadadifard, Fazel; Wright, J. Douglas
2
2021
A stiction oscillator under slowly varying forcing: uncovering small scale phenomena using blowup. Zbl 1501.34020
Kristiansen, Kristian U.
2
2021
Stability of motion induced by a point vortex under arbitrary polynomial perturbations. Zbl 1466.37046
Liu, Qihuai; Torres, Pedro J.
2
2021
Traveling pulse solutions in a three-component FitzHugh-Nagumo model. Zbl 1462.35038
Teramoto, Takashi; van Heijster, Peter
2
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58 Llibre, Jaume
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47 Kühn, Christian
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42 Mireles-James, Jason D.
40 Osinga, Hinke Maria
39 Kevrekidis, Ioannis George
38 Kutz, J. Nathan
35 Bressloff, Paul C.
35 Sandstede, Björn
35 Scheel, Arnd
34 Brunton, Steven L.
32 Rubin, Jonathan E.
32 Stewart, Ian Nicholas
32 Wechselberger, Martin
31 Carrillo de la Plata, José Antonio
29 Kevrekidis, Panayotis G.
28 Craciun, Gheorghe
28 de la Llave, Rafael
28 Mezić, Igor
28 Novaes, Douglas Duarte
28 Park, Hansol
28 Wei, Juncheng
28 Zhao, Xiao-Qiang
27 Uldall Kristiansen, K.
26 Hupkes, Hermen Jan
26 Mischaikow, Konstantin
26 Pelinovsky, Dmitry Efimovich
26 Shen, Wenxian
26 Teixeira, Marco Antonio
25 Wang, Hao
24 Coombes, Stephen
24 Desroches, Mathieu
24 Kim, Dohyun
23 Kolokolnikov, Theodore
23 van den Berg, Jan Bouwe
23 Wang, Jinliang
22 Doelman, Arjen
22 Jeffrey, Mike R.
22 Laing, Carlo R.
22 Ponce, Enrique
22 van Heijster, Peter
21 Adimy, Mostafa
21 Ashwin, Peter
21 Simpson, David John Warwick
21 Wang, Bixiang
21 Wilson, Dan D.
20 Chen, Guanrong
20 de Carvalho, Tiago
20 Duan, Jinqiao
20 Fetecau, Razvan C.
20 Knobloch, Edgar
20 Moehlis, Jeff
20 Rademacher, Jens Diederich Michael
19 Balasuriya, Sanjeeva
19 Cao, Jinde
19 Dias, Ana Paula S.
19 Golubitsky, Martin A.
19 Kilpatrick, Zachary P.
19 Porfiri, Maurizio
19 Zgliczyński, Piotr
18 Blömker, Dirk
18 Bollt, Erik M.
18 Faye, Grégory
18 Sherratt, Jonathan A.
17 Aguiar, Manuela A. D.
17 Feliu, Elisenda
17 Gao, Hongjun
17 Gedeon, Tomáš
17 Ghosh, Dibakar
17 Lawley, Sean D.
17 Teng, Zhi-dong
17 Wanner, Thomas
17 Zhang, Mingji
17 Zhang, Xiang
16 Bi, Qinsheng
16 Cai, Yongli
16 Gardini, Laura
16 Huang, Lihong
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16 Meiss, James D.
16 Mrozek, Marian
16 Shi, Junping
16 Sieber, Jan
16 Song, Yongli
16 Wang, Weiming
16 Wyller, John A.
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15 Froyland, Gary
15 Giannakis, Dimitrios
15 Kaper, Tasso J.
15 Li, Shimin
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15 Park, Jinyeong
15 Tonon, Durval José
15 Wu, Jianhong
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420 Physica D
321 Journal of Differential Equations
306 Chaos
292 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
217 Discrete and Continuous Dynamical Systems. Series B
202 Journal of Nonlinear Science
189 Communications in Nonlinear Science and Numerical Simulation
160 Nonlinearity
144 Nonlinear Dynamics
141 Journal of Mathematical Biology
133 Journal of Mathematical Analysis and Applications
133 Journal of Dynamics and Differential Equations
126 Journal of Computational Physics
122 Bulletin of Mathematical Biology
114 Journal of Fluid Mechanics
112 Chaos, Solitons and Fractals
103 Applied Mathematics and Computation
99 SIAM Journal on Applied Mathematics
99 Nonlinear Analysis. Real World Applications
93 Discrete and Continuous Dynamical Systems
86 Automatica
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77 Journal of Theoretical Biology
66 SIAM Journal on Mathematical Analysis
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63 Qualitative Theory of Dynamical Systems
60 Journal of Statistical Physics
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58 Applied Mathematics Letters
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56 The Journal of Mathematical Neuroscience
51 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
48 Journal of Computational Neuroscience
47 Biological Cybernetics
47 Computer Methods in Applied Mechanics and Engineering
47 Physica A
47 ZAMP. Zeitschrift für angewandte Mathematik und Physik
46 SIAM Journal on Scientific Computing
43 Regular and Chaotic Dynamics
43 Discrete and Continuous Dynamical Systems. Series S
42 Celestial Mechanics and Dynamical Astronomy
42 Journal of Computational Dynamics
41 Journal of the Franklin Institute
40 Mathematical Methods in the Applied Sciences
40 European Journal of Applied Mathematics
40 Applied Mathematical Modelling
39 Communications on Pure and Applied Analysis
37 Computers & Mathematics with Applications
36 Journal of Physics A: Mathematical and Theoretical
35 Dynamical Systems
32 Applicable Analysis
32 Archive for Rational Mechanics and Analysis
32 Communications in Mathematical Physics
32 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
32 Mathematical Modelling of Natural Phenomena
32 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
31 Journal of Difference Equations and Applications
30 Mathematics and Computers in Simulation
30 Acta Applicandae Mathematicae
30 Neural Computation
29 Nonlinear Analysis. Hybrid Systems
28 SIAM Journal on Control and Optimization
28 Studies in Applied Mathematics
27 Abstract and Applied Analysis
26 Networks and Heterogeneous Media
25 Proceedings of the American Mathematical Society
24 Systems & Control Letters
24 SIAM Review
24 Advances in Difference Equations
24 Journal of Biological Dynamics
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23 Mathematical Problems in Engineering
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23 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
22 Quarterly of Applied Mathematics
22 Multiscale Modeling & Simulation
21 Physics Letters. A
21 Journal of Scientific Computing
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21 SIAM/ASA Journal on Uncertainty Quantification
20 Japan Journal of Industrial and Applied Mathematics
20 Journal of Mathematical Chemistry
19 Kinetic and Related Models
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17 Numerische Mathematik
17 Advances in Computational Mathematics
16 Inverse Problems
16 Transactions of the American Mathematical Society
16 Applied Numerical Mathematics
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
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