# zbMATH — the first resource for mathematics

## 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

#### Latest Issues

 20, No. 2 (2021) 20, No. 1 (2021) 19, No. 4 (2020) 19, No. 3 (2020) 19, No. 2 (2020) 19, No. 1 (2020) 18, No. 4 (2019) 18, No. 3 (2019) 18, No. 2 (2019) 18, No. 1 (2019) 17, No. 4 (2018) 17, No. 3 (2018) 17, No. 2 (2018) 17, No. 1 (2018) 16, No. 4 (2017) 16, No. 3 (2017) 16, No. 2 (2017) 16, No. 1 (2017) 15, No. 4 (2016) 15, No. 3 (2016) 15, No. 2 (2016) 15, No. 1 (2016) 14, No. 4 (2015) 14, No. 3 (2015) 14, No. 2 (2015) 14, No. 1 (2015) 13, No. 4 (2014) 13, No. 3 (2014) 13, No. 2 (2014) 13, No. 1 (2014) 12, No. 4 (2013) 12, No. 3 (2013) 12, No. 2 (2013) 12, No. 1 (2013) 11, No. 4 (2012) 11, No. 3 (2012) 11, No. 2 (2012) 11, No. 1 (2012) 10, No. 4 (2011) 10, No. 3 (2011) 10, No. 2 (2011) 10, No. 1 (2011) 9, No. 4 (2010) 9, No. 3 (2010) 9, No. 2 (2010) 9, No. 1 (2010) 8, No. 4 (2009) 8, No. 3 (2009) 8, No. 2 (2009) 8, No. 1 (2009) 7, No. 4 (2008) 7, No. 3 (2008) 7, No. 2 (2008) 7, No. 1 (2008) 6, No. 4 (2007) 6, No. 3 (2007) 6, No. 2 (2007) 6, No. 1 (2007) 5, No. 4 (2006) 5, No. 3 (2006) 5, No. 2 (2006) 5, No. 1 (2006) 4, No. 4 (2005) 4, No. 3 (2005) 4, No. 2 (2005) 4, No. 1 (2005) 3, No. 4 (2004) 3, No. 3 (2004) 3, No. 2 (2004) 3, No. 1 (2004) 2, No. 4 (2003) 2, No. 3 (2003) 2, No. 2 (2003) 2, No. 1 (2003) 1, No. 2 (2002) 1, No. 1 (2002)
all top 5

#### Authors

 24 Krauskopf, Bernd 18 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) 466 Ordinary differential equations (34-XX) 309 Biology and other natural sciences (92-XX) 252 Partial differential equations (35-XX) 159 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)

#### Citations contained in zbMATH Open

889 Publications have been cited 8,654 times in 5,495 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
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
Canonical discontinuous planar piecewise linear systems. Zbl 1242.34020
Freire, Emilio; Ponce, Enrique; Torres, Francisco
2012
Sufficient conditions for fast switching synchronization in time-varying network topologies. Zbl 1145.37345
Stilwell, Daniel J.; Bollt, Erik M.; Roberson, D. Gray
2006
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
A primer of swarm equilibria. Zbl 1255.35012
Bernoff, Andrew J.; Topaz, Chad M.
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.
2004
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
Global phase-locking in finite populations of phase-coupled oscillators. Zbl 1167.34330
Verwoerd, Mark; Mason, Oliver
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
Dynamic mode decomposition with control. Zbl 1334.65199
Proctor, Joshua L.; Brunton, Steven L.; Kutz, J. Nathan
2016
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
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
Defects in oscillatory media: toward a classification. Zbl 1059.37062
Sandstede, Björn; Scheel, Arnd
2004
Breathing pulses in an excitatory neural network. Zbl 1058.92010
Folias, Stefanos E.; Bressloff, Paul C.
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.
2007
A computational and geometric approach to phase resetting curves and surfaces. Zbl 1216.34030
Guillamon, Antoni; Huguet, Gemma
2009
Localized hexagon patterns of the planar Swift-Hohenberg equation. Zbl 1168.35311
Lloyd, David J. B.; Sandstede, Björn; Avitabile, Daniele; Champneys, Alan R.
2008
The forced van der Pol equation. I: The slow flow and its bifurcations. Zbl 1088.37504
Guckenheimer, John; Hoffman, Kathleen; Weckesser, Warren
2003
Mixed-mode oscillations in three time-scale systems: a prototypical example. Zbl 1167.34346
Krupa, Martin; Popović, Nikola; Kopell, Nancy
2008
On the implementation of the 0-1 test for chaos. Zbl 1161.37054
Gottwald, Georg A.; Melbourne, Ian
2009
Nonlinear patterns in urban crime: hotspots, bifurcations, and suppression. Zbl 1282.91273
Short, M. B.; Bertozzi, A. L.; Brantingham, P. J.
2010
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
HJB-POD-based feedback design for the optimal control of evolution problems. Zbl 1058.35061
Kunisch, K.; Volkwein, S.; Xie, L.
2004
A geometric approach to the global attractor conjecture. Zbl 1301.34063
Gopalkrishnan, Manoj; Miller, Ezra; Shiu, Anne
2014
Asymptotic dynamics of attractive-repulsive swarms. Zbl 1168.92045
Leverentz, Andrew J.; Topaz, Chad M.; Bernoff, Andrew J.
2009
On computing the critical coupling coefficient for the Kuramoto model on a complete bipartite graph. Zbl 1167.34331
Verwoerd, Mark; Mason, Oliver
2009
Chaos in the Hodgkin–Huxley model. Zbl 1002.92005
Guckenheimer, John; Oliva, Ricardo A.
2002
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
Nonsmooth Lagrangian mechanics and variational collision integrators. Zbl 1088.37045
Fetecau, R. C.; Marsden, J. E.; Ortiz, M.; West, M.
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.
2012
Ergodic theory, dynamic mode decomposition, and computation of spectral properties of the Koopman operator. Zbl 1381.37096
Arbabi, Hassan; Mezić, Igor
2017
Noise-induced behaviors in neural mean field dynamics. Zbl 1235.92016
Touboul, Jonathan; Hermann, Geoffroy; Faugeras, Olivier
2012
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
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
Front propagation in stochastic neural fields. Zbl 1246.92004
Bressloff, Paul C.; Webber, Matthew A.
2012
The two-fold singularity of discontinuous vector fields. Zbl 1178.34042
Jeffrey, M. R.; Colombo, A.
2009
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
Rigorous a posteriori computation of (un)stable manifolds and connecting orbits for analytic maps. Zbl 1330.37029
Mireles James, J. D.; Mischaikow, Konstantin
2013
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
Nondeterministic chaos, and the two-fold singularity in piecewise smooth flows. Zbl 1227.34044
Colombo, Alessandro; Jeffrey, Mike R.
2011
Classification of asymptotic behavior in a stochastic SIR model. Zbl 1343.34109
Dieu, N. T.; Nguyen, D. H.; Du, N. H.; Yin, G.
2016
Homoclinic stripe patterns. Zbl 1004.35063
Doelman, Arjen; van der Ploeg, Harmen
2002
Semistrong pulse interactions in a class of coupled reaction-diffusion equations. Zbl 1088.35517
Doelman, Arjen; Kaper, Tasso J.
2003
Asymptotic expansions of I-V relations via a Poisson-Nernst-Planck system. Zbl 1167.34361
Abaid, Nicole; Eisenberg, Robert S.; Liu, Weishi
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
2008
Study of singularities in nonsmooth dynamical systems via singular perturbation. Zbl 1167.34304
Llibre, Jaume; Da Silva, Paulo R.; Teixeira, Marco A.
2009
Stationary states and asymptotic behavior of aggregation models with nonlinear local repulsion. Zbl 1302.35386
Burger, Martin; Fetecau, Razvan; Huang, Yanghong
2014
Power-law kinetics and determinant criteria for the preclusion of multistationarity in networks of interacting species. Zbl 1278.92012
Wiuf, Carsten; Feliu, Elisenda
2013
Computation of limit cycles and their isochrons: fast algorithms and their convergence. Zbl 1291.37108
Huguet, Gemma; de la Llave, Rafael
2013
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
Computing slow manifolds of saddle type. Zbl 1176.37026
Guckenheimer, John; Kuehn, Christian
2009
Complete entrainment of Lohe oscillators under attractive and repulsive couplings. Zbl 1310.34060
Choi, Sun-Ho; Ha, Seung-Yeal
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
2010
Some canonical bifurcations in the Swift-Hohenberg equation. Zbl 1210.34028
Peletier, L. A.; Williams, J. F.
2007
Multiresolution dynamic mode decomposition. Zbl 1338.37121
Kutz, J. Nathan; Fu, Xing; Brunton, Steven L.
2016
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
Local/global analysis of the stationary solutions of some neural field equations. Zbl 1194.92015
Veltz, Romain; Faugeras, Olivier
2010
Dynamics at a switching intersection: hierarchy, isonomy, and multiple sliding. Zbl 1310.34018
Jeffrey, Mike R.
2014
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
Chaotic braided solutions via rigorous numerics: chaos in the Swift-Hohenberg equation. Zbl 1408.37062
van den Berg, Jan Bouwe; Lessard, Jean-Philippe
2008
Neural fields with distributed transmission speeds and long-range feedback delays. Zbl 1210.34118
Atay, Fatihcan M.; Hutt, Axel
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
2007
Random attractors for delay parabolic equations with additive noise and deterministic nonautonomous forcing. Zbl 1317.60081
Wang, Xiaohu; Lu, Kening; Wang, Bixiang
2015
A rigorous numerical method for the global analysis of infinite-dimensional discrete dynamical systems. Zbl 1059.37068
Day, S.; Junge, O.; Mischaikow, K.
2004
Continuation of quasi-periodic invariant tori. Zbl 1090.37057
Schilder, Frank; Osinga, Hinke M.; Vogt, Werner
2005
Speeds of spread and propagation for KPP models in time almost and space periodic media. Zbl 1172.35423
Huang, Jianhua; Shen, Wenxian
2009
Dynamics on networks of cluster states for globally coupled phase oscillators. Zbl 1167.34326
Ashwin, Peter; Orosz, Gábor; Wordsworth, John; Townley, Stuart
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
2008
Integration of dissipative partial differential equations: a case study. Zbl 1298.37071
Arioli, Gianni; Koch, Hans
2010
Continuation-based computation of global isochrons. Zbl 1232.37014
Osinga, Hinke M.; Moehlis, Jeff
2010
An analytical approach to codimension-2 sliding bifurcations in the dry-friction oscillator. Zbl 1201.37086
Guardia, Marcel; Hogan, S. John; Seara, Tere M.
2010
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
Reliable computation of robust response tori on the verge of breakdown. Zbl 1253.37077
Figueras, Jordi-Lluís; Haro, Àlex
2012
Bifurcations in delay differential equations and applications to tumor and immune system interaction models. Zbl 1284.34118
Bi, Ping; Ruan, Shigui
2013
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
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
Codimension-two homoclinic bifurcations underlying spike adding in the Hindmarsh-Rose burster. Zbl 1263.37036
Linaro, Daniele; Champneys, Alan; Desroches, Mathieu; Storace, Marco
2012
Uniformly hyperbolic attractor of the Smale-Williams type for a Poincaré map in the Kuznetsov system. Zbl 1213.37046
Wilczak, Daniel
2010
Front interactions in a three-component system. Zbl 1197.35047
van Heijster, P.; Doelman, A.; Kaper, T. J.; Promislow, K.
2010
Uniform attractors for nonautonomous wave equations with nonlinear damping. Zbl 1210.35160
Sun, Chunyou; Cao, Daomin; Duan, Jinqiao
2007
Computing geodesic level sets on global (un)stable manifolds of vector fields. Zbl 1089.37014
Krauskopf, Bernd; Osinga, Hinke M.
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
2003
Spiral waves in nonlocal equations. Zbl 1090.37056
Laing, Carlo R.
2005
Random attractor for damped nonlinear wave equations with white noise. Zbl 1094.35154
Zhou, Shengfan; Yin, Fuqi; Ouyang, Zigen
2005
Differential geometry perspective of shape coherence and curvature evolution by finite-time nonhyperbolic splitting. Zbl 1329.37031
Ma, Tian; Bollt, Erik M.
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.
2015
Periodic solutions in Hamiltonian systems, averaging, and the lunar problem. Zbl 1159.37424
Yanguas, Patricia; Palacián, Jesús F.; Meyer, Kenneth R.; Dumas, H. Scott
2008
Homoclinic orbits of the FitzHugh-Nagumo equation: bifurcations in the full system. Zbl 1210.34060
Guckenheimer, John; Kuehn, Christian
2010
Poisson-Nernst-Planck systems for ion flow with a local hard-sphere potential for ion size effects. Zbl 1284.34078
Lin, Guojian; Liu, Weishi; Yi, Yingfei; Zhang, Mingji
2013
Scaling in singular perturbation problems: blowing up a relaxation oscillator. Zbl 1243.34066
Kosiuk, Ilona; Szmolyan, Peter
2011
Symbolic proof of bistability in reaction networks. Zbl 1465.37105
Torres, Angélica; Feliu, Elisenda
2021
Dynamic transitions and bifurcations for a class of axisymmetric geophysical fluid flow. Zbl 1461.76172
Han, Daozhi; Hernandez, Marco; Wang, Quan
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.
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
2021
Interacting Langevin diffusions: gradient structure and ensemble Kalman sampler. Zbl 1447.65119
Garbuno-Inigo, Alfredo; Hoffmann, Franca; Li, Wuchen; Stuart, Andrew M.
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
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
Barriers to the transport of diffusive scalars in compressible flows. Zbl 1448.76146
Haller, George; Karrasch, Daniel; Kogelbauer, Florian
2020
Permanence of weakly reversible mass-action systems with a single linkage class. Zbl 1443.92110
Boros, Balázs; Hofbauer, Josef
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
Time-delay observables for Koopman: theory and applications. Zbl 1441.37090
Kamb, Mason; Kaiser, Eurika; Brunton, Steven L.; Kutz, J. Nathan
2020
Computational singular perturbation method for nonstandard slow-fast systems. Zbl 1457.37102
Lizarraga, Ian; Wechselberger, Martin
2020
Pulse solutions for an extended Klausmeier model with spatially varying coefficients. Zbl 1431.35071
Bastiaansen, Robbin; Chirilus-Bruckner, Martina; Doelman, Arjen
2020
Data based reconstruction of duplex networks. Zbl 1437.37123
Ma, Chuang; Chen, Han-Shuang; Li, Xiang; Lai, Ying-Cheng; Zhang, Hai-Feng
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
Clamping and synchronization in the strongly coupled FitzHugh-Nagumo model. Zbl 1447.35335
Quininao, Cristobal; Touboul, Jonathan D.
2020
Bifurcations on fully inhomogeneous networks. Zbl 1443.34039
Gandhi, Punit; Golubitsky, Martin; Postlethwaite, Claire; Stewart, Ian; Wang, Yangyang
2020
On the Koopman operator of algorithms. Zbl 1437.47048
Dietrich, Felix; Thiem, Thomas N.; Kevrekidis, Ioannis G.
2020
Intralayer synchronization in evolving multiplex hypernetworks: analytical approach. Zbl 1441.37093
Rakshit, Sarbendu; Bera, Bidesh K.; Bollt, Erik M.; Ghosh, Dibakar
2020
Tipping phenomena and points of no return in ecosystems: beyond classical bifurcations. Zbl 1467.37091
O&rsquo;Keeffe, Paul E.; Wieczorek, Sebastian
2020
LOR for analysis of periodic dynamics: a one-stop shop approach. Zbl 1461.34065
Letson, Benjamin; Rubin, Jonathan E.
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
Conley index approach to sampled dynamics. Zbl 1442.37088
Batko, Bogdan; Mischaikow, Konstantin; Mrozek, Marian; Przybylski, Mateusz
2020
Lotka-Volterra competition model on graphs. Zbl 1437.92103
Slavík, Antonín
2020
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.
2020
Ribosome flow model with different site sizes. Zbl 1441.92020
Bar-Shalom, Eyal; Ovseevich, Alexander; Margaliot, Michael
2020
Invariant synchrony subspaces of sets of matrices. Zbl 1442.15045
Neuberger, John M.; Sieben, Nándor; Swift, James W.
2020
Rate-induced tipping in discrete-time dynamical systems. Zbl 1445.37016
Kiers, Claire
2020
On the stability of symmetric periodic orbits of the elliptic Sitnikov problem. Zbl 07214008
Cen, Xiuli; Cheng, Xuhua; Huang, Zaitang; Zhang, Meirong
2020
Quantitative estimates of the threshold phenomena for propagation in reaction-diffusion equations. Zbl 1443.35072
Alfaro, Matthieu; Ducrot, Arnaud; Faye, Grégory
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
Alternative reduction by stages of Keplerian systems. Positive, negative, and zero energy. Zbl 07220179
Crespo, Francisco; Ferrer, Sebastián
2020
Affine invariant interacting Langevin dynamics for Bayesian inference. Zbl 07315444
Garbuno-Inigo, Alfredo; Nüsken, Nikolas; Reich, Sebastian
2020
Computation and optimal perturbation of finite-time coherent sets for aperiodic flows without trajectory integration. Zbl 07315445
Froyland, Gary; Koltai, Péter; Stahn, Martin
2020
Endotactic networks and toric differential inclusions. Zbl 1461.37077
Craciun, Gheorghe; Deshpande, Abhishek
2020
Data-driven model predictive control using interpolated Koopman generators. Zbl 1461.49007
Peitz, Sebastian; Otto, Samuel E.; Rowley, Clarence W.
2020
Linearly recurrent autoencoder networks for learning dynamics. Zbl 07068540
Otto, Samuel E.; Rowley, Clarence W.
2019
A collisionless singular Cucker-Smale model with decentralized formation control. Zbl 1432.34063
Choi, Young-Pil; Kalise, Dante; Peszek, Jan; Peters, Andrés A.
2019
Data-driven identification of parametric partial differential equations. Zbl 1456.65096
Rudy, Samuel; Alla, Alessandro; Brunton, Steven L.; Kutz, J. Nathan
2019
Online dynamic mode decomposition for time-varying systems. Zbl 07122844
Zhang, Hao; Rowley, Clarence W.; Deem, Eric A.; Cattafesta, Louis N.
2019
The Kuramoto model on oriented and signed graphs. Zbl 1420.34083
Delabays, Robin; Jacquod, Philippe; Dörfler, Florian
2019
Stability of traveling waves for reaction-diffusion equations with multiplicative noise. Zbl 1414.35117
Hamster, C. H. S.; Hupkes, H. J.
2019
Pattern formation and synchronism in an allelopathic plankton model with delay in a network. Zbl 1416.34071
Tian, Canrong; Ruan, Shigui
2019
A second-order particle swarm model on a sphere and emergent dynamics. Zbl 1412.34157
Ha, Seung-Yeal; Kim, Dohyun
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
2019
Spectral filtering of interpolant observables for a discrete-in-time downscaling data assimilation algorithm. Zbl 1428.35276
Celik, Emine; Olson, Eric; Titi, Edriss S.
2019
Bichromatic travelling waves for lattice Nagumo equations. Zbl 1428.34029
Hupkes, Hermen Jan; Morelli, Leonardo; Stehlík, Petr
2019
Growing stripes, with and without wrinkles. Zbl 1423.35156
Avery, M.; Goh, R.; Goodloe, O.; Milewski, A.; Scheel, A.
2019
On the approximation of Koopman spectra for measure preserving transformations. Zbl 1436.28011
Govindarajan, Nithin; Mohr, Ryan; Chandrasekaran, Shivkumar; Mezic, Igor
2019
Randomized dynamic mode decomposition. Zbl 1427.65410
Erichson, N. Benjamin; Mathelin, Lionel; Kutz, J. Nathan; Brunton, Steven L.
2019
Discovery of nonlinear multiscale systems: sampling strategies and embeddings. Zbl 07066586
Champion, Kathleen P.; Brunton, Steven L.; Kutz, J. Nathan
2019
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
2019
The numerical computation of unstable manifolds for infinite dimensional dynamical systems by embedding techniques. Zbl 1435.37103
Ziessler, Adrian; Dellnitz, Michael; Gerlach, Raphael
2019
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.
2019
A West Nile virus transmission model with periodic incubation periods. Zbl 1423.35187
Wang, Feng-Bin; Wu, Ruiwen; Zhao, Xiao-Qiang
2019
Drift of spectrally stable shifted states on star graphs. Zbl 1435.35401
Kairzhan, Adilbek; Pelinovsky, Dmitry E.; Goodman, Roy H.
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
2019
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
2019
Persistent homology of Morse decompositions in combinatorial dynamics. Zbl 1415.37058
Dey, Tamal K.; Juda, Mateusz; Kapela, Tomasz; Kubica, Jacek; Lipiński, Michał; Mrozek, Marian
2019
Number and stability of relaxation oscillations for predator-prey systems with small death rates. Zbl 1411.34064
Hsu, Ting-Hao
2019
Regularization and geometry of piecewise smooth systems with intersecting discontinuity sets. Zbl 1431.37046
Kaklamanos, Panagiotis; Kristiansen, Kristian U.
2019
Computation of a contraction metric for a periodic orbit using meshfree collocation. Zbl 1453.34061
Giesl, Peter
2019
Replica-mean-field limits for intensity-based neural networks. Zbl 1435.92004
Baccelli, François; Taillefumier, Thibaud
2019
An optimal framework for nonfeedback stability control of chaos. Zbl 1443.34060
Wilson, Dan D.
2019
On co-orbital quasi-periodic motion in the three-body problem. Zbl 1448.70016
Cors, Josep M.; Palacián, Jesús F.; Yanguas, Patricia
2019
Properties of the chemostat model with aggregated biomass and distinct removal rates. Zbl 1416.92178
2019
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
2019
Singular perturbation analysis of a regularized MEMS model. Zbl 1458.34103
Iuorio, Annalisa; Popović, Nikola; Szmolyan, Peter
2019
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.
2019
Dynamics of a mathematical hematopoietic stem-cell population model. Zbl 1416.34066
De Souza, Daniel C.; Humphries, A. R.
2019
Synchrony and antisynchrony for difference-coupled vector fields on graph network systems. Zbl 1428.34073
Neuberger, John M.; Sieben, Nándor; Swift, James W.
2019
Heterogeneous inputs to central pattern generators can shape insect gaits. Zbl 1425.92036
Aminzare, Zahra; Holmes, Philip
2019
Analytical description of optimally time-dependent modes for reduced-order modeling of transient instabilities. Zbl 1433.70034
Blanchard, Antoine; Sapsis, Themistoklis P.
2019
Lyapunov function partial differential equations for chemical reaction networks: some special cases. Zbl 1426.35077
Fang, Zhou; Gao, Chuanhou
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
2019
Consistent dynamic mode decomposition. Zbl 1428.37098
Azencot, Omri; Yin, Wotao; Bertozzi, Andrea
2019
Sofic shifts via Conley index theory: computing lower bounds on recurrent dynamics for maps. Zbl 1436.37018
Day, Sarah; Frongillo, Rafael
2019
Synchronization of electrically coupled resonate-and-fire neurons. Zbl 1429.92033
Chartrand, Thomas; Goldman, Mark S.; Lewis, Timothy J.
2019
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
2019
Invasion fronts outside the homoclinic snaking region in the planar Swift-Hohenberg equation. Zbl 1430.35028
Lloyd, David J. B.
2019
Global persistence of Lyapunov subcenter manifolds as spectral submanifolds under dissipative perturbations. Zbl 07147390
de la Llave, Rafael; Kogelbauer, Florian
2019
Bifurcation of relative equilibria in infinite-dimensional Hamiltonian systems. Zbl 1412.37072
Yagasaki, Kazuyuki; Yamazoe, Shotaro
2019
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
2019
Penalization of nonsmooth dynamical systems with noise: ergodicity and asymptotic formulae for threshold crossings probabilities. Zbl 1455.60087
Laurière, Mathieu; Mertz, Laurent
2019
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
2019
The structure of MESSI biological systems. Zbl 1395.92071
Pérez Millán, Mercedes; Dickenstein, Alicia
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
2018
Variable projection methods for an optimized dynamic mode decomposition. Zbl 1384.37122
2018
Cooperative epidemic spreading on a two-layered interconnected network. Zbl 1395.68045
Wei, Xiang; Wu, Xiaoqun; Chen, Shihua; Lu, Jun-An; Chen, Guanrong
2018
Robust FEM-based extraction of finite-time coherent sets using scattered, sparse, and incomplete trajectories. Zbl 1408.37139
Froyland, Gary; Junge, Oliver
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.
2018
Generalizing Koopman theory to allow for inputs and control. Zbl 1390.93226
Proctor, Joshua L.; Brunton, Steven L.; Kutz, J. Nathan
2018
On equilibria and consensus of the Lohe model with identical oscillators. Zbl 1393.93062
Zhang, Jinxing; Zhu, Jiandong; Qian, Chunjiang
2018
Data-driven discovery of closure models. Zbl 1411.70023
Pan, Shaowu; Duraisamy, Karthik
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.
2018
Emergence of phase-locking in the Kuramoto model for identical oscillators with frustration. Zbl 1387.34079
Ha, Seung-Yeal; Ko, Dongnam; Zhang, Yinglong
2018
Stability loss delay and smoothness of the return map in slow-fast systems. Zbl 1396.34042
Wang, Cheng; Zhang, Xiang
2018
...and 789 more Documents
all top 5

#### Cited by 7,007 Authors

 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 Hupkes, Hermen Jan 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 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 Craciun, Gheorghe 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 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 12 Wang, Weiming 12 Wanner, Thomas 12 Xu, Jian 12 Yu, Wenwu 11 Alla, Alessandro 11 Barrio, Roberto 11 Feliu, Elisenda 11 Gardini, Laura 11 Giannakis, Dimitrios 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. ...and 6,907 more Authors
all top 5

#### 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 229 Journal of Differential Equations 144 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 Journal of Fluid Mechanics 73 SIAM Journal on Applied Mathematics 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 25 Applied Mathematical Modelling 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 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 13 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 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 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 ...and 324 more Journals
all top 5

#### Cited in 59 Fields

 1,757 Dynamical systems and ergodic theory (37-XX) 1,741 Ordinary differential equations (34-XX) 1,705 Biology and other natural sciences (92-XX) 1,584 Partial differential equations (35-XX) 638 Numerical analysis (65-XX) 494 Systems theory; control (93-XX) 431 Mechanics of particles and systems (70-XX) 360 Fluid mechanics (76-XX) 305 Probability theory and stochastic processes (60-XX) 193 Statistical mechanics, structure of matter (82-XX) 152 Mechanics of deformable solids (74-XX) 140 Calculus of variations and optimal control; optimization (49-XX) 120 Computer science (68-XX) 119 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 112 Operator theory (47-XX) 111 Operations research, mathematical programming (90-XX) 101 Integral equations (45-XX) 84 Statistics (62-XX) 83 Combinatorics (05-XX) 83 Difference and functional equations (39-XX) 81 Information and communication theory, circuits (94-XX) 69 Optics, electromagnetic theory (78-XX) 57 Classical thermodynamics, heat transfer (80-XX) 57 Quantum theory (81-XX) 53 Differential geometry (53-XX) 52 Global analysis, analysis on manifolds (58-XX) 41 Linear and multilinear algebra; matrix theory (15-XX) 41 Geophysics (86-XX) 30 Real functions (26-XX) 16 Algebraic topology (55-XX) 15 Approximations and expansions (41-XX) 14 Special functions (33-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 14 Convex and discrete geometry (52-XX) 14 Astronomy and astrophysics (85-XX) 13 Functional analysis (46-XX) 13 Relativity and gravitational theory (83-XX) 11 General and overarching topics; collections (00-XX) 11 Order, lattices, ordered algebraic structures (06-XX) 11 Commutative algebra (13-XX) 10 Measure and integration (28-XX) 10 General topology (54-XX) 9 Group theory and generalizations (20-XX) 9 Manifolds and cell complexes (57-XX) 8 Algebraic geometry (14-XX) 6 Field theory and polynomials (12-XX) 6 Topological groups, Lie groups (22-XX) 5 History and biography (01-XX) 5 Number theory (11-XX) 3 Mathematical logic and foundations (03-XX) 3 Potential theory (31-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Category theory; homological algebra (18-XX) 2 Functions of a complex variable (30-XX) 2 Geometry (51-XX) 2 Mathematics education (97-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX)