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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: 1,342 Publications (since 2002)
References Indexed: 791 Publications with 34,053 References.
all top 5

Authors

24 Krauskopf, Bernd
18 Kutz, J. Nathan
18 Osinga, Hinke Maria
17 Champneys, Alan R.
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 Lessard, Jean-Philippe
9 Bollt, Erik M.
9 Doelman, Arjen
9 Hogan, S. John
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 Kühn, Christian
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 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 Rowley, Clarence Worth
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 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 2,065 more Authors
all top 5

Fields

763 Dynamical systems and ergodic theory (37-XX)
553 Ordinary differential equations (34-XX)
400 Biology and other natural sciences (92-XX)
310 Partial differential equations (35-XX)
187 Numerical analysis (65-XX)
175 Mechanics of particles and systems (70-XX)
87 Systems theory; control (93-XX)
82 Probability theory and stochastic processes (60-XX)
75 Fluid mechanics (76-XX)
45 Statistical mechanics, structure of matter (82-XX)
43 Computer science (68-XX)
38 Combinatorics (05-XX)
34 Operations research, mathematical programming (90-XX)
33 Optics, electromagnetic theory (78-XX)
32 Mechanics of deformable solids (74-XX)
32 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
30 Statistics (62-XX)
29 Calculus of variations and optimal control; optimization (49-XX)
27 Difference and functional equations (39-XX)
23 Integral equations (45-XX)
23 Operator theory (47-XX)
19 Linear and multilinear algebra; matrix theory (15-XX)
19 Classical thermodynamics, heat transfer (80-XX)
17 Information and communication theory, circuits (94-XX)
14 Geophysics (86-XX)
9 Approximations and expansions (41-XX)
9 Global analysis, analysis on manifolds (58-XX)
9 Quantum theory (81-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 Algebraic geometry (14-XX)
5 Functional analysis (46-XX)
4 Order, lattices, ordered algebraic structures (06-XX)
4 Measure and integration (28-XX)
3 Commutative algebra (13-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
2 Field theory and polynomials (12-XX)
1 Mathematical logic and foundations (03-XX)
1 Number theory (11-XX)
1 Real functions (26-XX)
1 Special functions (33-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral transforms, operational calculus (44-XX)
1 Geometry (51-XX)
1 Relativity and gravitational theory (83-XX)
1 Astronomy and astrophysics (85-XX)

Publications by Year

Citations contained in zbMATH Open

1,100 Publications have been cited 13,530 times in 8,553 Documents Cited by Year
Basic reproduction numbers for reaction-diffusion epidemic models. Zbl 1259.35120
Wang, Wendi; Zhao, Xiao-Qiang
308
2012
Wave structure and nonlinear balances in a family of evolutionary PDEs. Zbl 1088.76531
Holm, Darryl D.; Staley, Martin F.
158
2003
Canonical discontinuous planar piecewise linear systems. Zbl 1242.34020
Freire, Emilio; Ponce, Enrique; Torres, Francisco
141
2012
Symmetry groupoids and patterns of synchrony in coupled cell networks. Zbl 1089.34032
Stewart, Ian; Golubitsky, Martin; Pivato, Marcus
138
2003
On the critical coupling for Kuramoto oscillators. Zbl 1242.34096
Dörfler, Florian; Bullo, Francesco
133
2011
Patterns of synchrony in coupled cell networks with multiple arrows. Zbl 1090.34030
Golubitsky, Martin; Stewart, Ian; Török, Andrei
130
2005
Global synchronization of linearly hybrid coupled networks with time-varying delay. Zbl 1161.94011
Yu, Wenwu; Cao, Jinde; Lü, Jinhu
116
2008
Existence and bifurcation of canards in \(\mathbb R^3\) in the case of a folded node. Zbl 1090.34047
Wechselberger, Martin
113
2005
Dynamic mode decomposition with control. Zbl 1334.65199
Proctor, Joshua L.; Brunton, Steven L.; Kutz, J. Nathan
104
2016
Sufficient conditions for fast switching synchronization in time-varying network topologies. Zbl 1145.37345
Stilwell, Daniel J.; Bollt, Erik M.; Roberson, D. Gray
95
2006
Ergodic theory, dynamic mode decomposition, and computation of spectral properties of the Koopman operator. Zbl 1381.37096
Arbabi, Hassan; Mezić, Igor
93
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
76
2017
On the implementation of the 0-1 test for chaos. Zbl 1161.37054
Gottwald, Georg A.; Melbourne, Ian
72
2009
A vaccination model for transmission dynamics of influenza. Zbl 1067.92051
Alexander, M. E.; Bowman, C.; Moghadas, S. M.; Summers, R.; Gumel, A. B.; Sahai, B. M.
70
2004
Mixed-mode oscillations in three time-scale systems: a prototypical example. Zbl 1167.34346
Krupa, Martin; Popović, Nikola; Kopell, Nancy
69
2008
Neuronal networks with gap junctions: a study of piecewise linear planar neuron models. Zbl 1159.92008
Coombes, S.
69
2008
Nonlinear patterns in urban crime: hotspots, bifurcations, and suppression. Zbl 1282.91273
Short, M. B.; Bertozzi, A. L.; Brantingham, P. J.
67
2010
PDE methods for nonlocal models. Zbl 1088.34011
Laing, Carlo R.; Troy, William C.
65
2003
A primer of swarm equilibria. Zbl 1255.35012
Bernoff, Andrew J.; Topaz, Chad M.
64
2011
Classification of asymptotic behavior in a stochastic SIR model. Zbl 1343.34109
Dieu, N. T.; Nguyen, D. H.; Du, N. H.; Yin, G.
63
2016
Random attractors for delay parabolic equations with additive noise and deterministic nonautonomous forcing. Zbl 1317.60081
Wang, Xiaohu; Lu, Kening; Wang, Bixiang
61
2015
Localized hexagon patterns of the planar Swift-Hohenberg equation. Zbl 1168.35311
Lloyd, David J. B.; Sandstede, Björn; Avitabile, Daniele; Champneys, Alan R.
59
2008
Interacting Langevin diffusions: gradient structure and ensemble Kalman sampler. Zbl 1447.65119
Garbuno-Inigo, Alfredo; Hoffmann, Franca; Li, Wuchen; Stuart, Andrew M.
59
2020
Data-driven identification of parametric partial differential equations. Zbl 1456.65096
Rudy, Samuel; Alla, Alessandro; Brunton, Steven L.; Kutz, J. Nathan
58
2019
Evans functions for integral neural field equations with Heaviside firing rate function. Zbl 1067.92019
Coombes, S.; Owen, M. R.
57
2004
Global phase-locking in finite populations of phase-coupled oscillators. Zbl 1167.34330
Verwoerd, Mark; Mason, Oliver
57
2008
Singular Hopf bifurcation in systems with two slow variables. Zbl 1168.37025
Guckenheimer, John
56
2008
Defects in oscillatory media: toward a classification. Zbl 1059.37062
Sandstede, Björn; Scheel, Arnd
55
2004
Long period oscillations in a \(G_{0}\) model of hematopoietic stem cells. Zbl 1110.34050
Pujo-Menjouet, Laurent; Bernard, Samuel; Mackey, Michael C.
55
2005
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
55
2009
\(R_0\) analysis of a spatiotemporal model for a stream population. Zbl 1252.35068
Mckenzie, H. W.; Jin, Y.; Jacobsen, J.; Lewis, M. A.
53
2012
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
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.
53
2016
Multiresolution dynamic mode decomposition. Zbl 1338.37121
Kutz, J. Nathan; Fu, Xing; Brunton, Steven L.
52
2016
A geometric approach to the global attractor conjecture. Zbl 1301.34063
Gopalkrishnan, Manoj; Miller, Ezra; Shiu, Anne
52
2014
The stability and dynamics of localized spot patterns in the two-dimensional Gray-Scott model. Zbl 1223.35033
Chen, W.; Ward, M. J.
51
2011
Breathing pulses in an excitatory neural network. Zbl 1058.92010
Folias, Stefanos E.; Bressloff, Paul C.
50
2004
HJB-POD-based feedback design for the optimal control of evolution problems. Zbl 1058.35061
Kunisch, K.; Volkwein, S.; Xie, L.
50
2004
Power-law kinetics and determinant criteria for the preclusion of multistationarity in networks of interacting species. Zbl 1278.92012
Wiuf, Carsten; Feliu, Elisenda
50
2013
A computational and geometric approach to phase resetting curves and surfaces. Zbl 1216.34030
Guillamon, Antoni; Huguet, Gemma
49
2009
The forced van der Pol equation. I: The slow flow and its bifurcations. Zbl 1088.37504
Guckenheimer, John; Hoffman, Kathleen; Weckesser, Warren
49
2003
Higher order dynamic mode decomposition. Zbl 1373.37169
Le Clainche, Soledad; Vega, José M.
49
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
49
2016
Kink-antikink collisions in the \(\phi^4\) equation: the \(n\)-bounce resonance and the separatrix map. Zbl 1145.74370
Goodman, Roy H.; Haberman, Richard
48
2005
Nondeterministic chaos, and the two-fold singularity in piecewise smooth flows. Zbl 1227.34044
Colombo, Alessandro; Jeffrey, Mike R.
46
2011
Nonsmooth Lagrangian mechanics and variational collision integrators. Zbl 1088.37045
Fetecau, R. C.; Marsden, J. E.; Ortiz, M.; West, M.
46
2003
Freezing solutions of equivariant evolution equations. Zbl 1061.65078
Beyn, W.-J.; Thümmler, V.
45
2004
Complete entrainment of Lohe oscillators under attractive and repulsive couplings. Zbl 1310.34060
Choi, Sun-Ho; Ha, Seung-Yeal
45
2014
Uniform attractors for nonautonomous wave equations with nonlinear damping. Zbl 1210.35160
Sun, Chunyou; Cao, Daomin; Duan, Jinqiao
44
2007
Chaos in the Hodgkin–Huxley model. Zbl 1002.92005
Guckenheimer, John; Oliva, Ricardo A.
43
2002
Linearly recurrent autoencoder networks for learning dynamics. Zbl 1489.65164
Otto, Samuel E.; Rowley, Clarence W.
43
2019
Asymptotic dynamics of attractive-repulsive swarms. Zbl 1168.92045
Leverentz, Andrew J.; Topaz, Chad M.; Bernoff, Andrew J.
42
2009
The two-fold singularity of discontinuous vector fields. Zbl 1178.34042
Jeffrey, M. R.; Colombo, A.
41
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
Bifurcations in delay differential equations and applications to tumor and immune system interaction models. Zbl 1284.34118
Bi, Ping; Ruan, Shigui
40
2013
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
Dynamics at a switching intersection: hierarchy, isonomy, and multiple sliding. Zbl 1310.34018
Jeffrey, Mike R.
39
2014
Noise-induced behaviors in neural mean field dynamics. Zbl 1235.92016
Touboul, Jonathan; Hermann, Geoffroy; Faugeras, Olivier
38
2012
Stationary coexistence of hexagons and rolls via rigorous computations. Zbl 1371.37036
van den Berg, Jan Bouwe; Deschênes, Andréa; Lessard, Jean-Philippe; Mireles James, Jason D.
38
2015
Asymptotic expansions of I-V relations via a Poisson-Nernst-Planck system. Zbl 1167.34361
Abaid, Nicole; Eisenberg, Robert S.; Liu, Weishi
38
2008
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.
37
2015
Stationary states and asymptotic behavior of aggregation models with nonlinear local repulsion. Zbl 1302.35386
Burger, Martin; Fetecau, Razvan; Huang, Yanghong
37
2014
Speeds of spread and propagation for KPP models in time almost and space periodic media. Zbl 1172.35423
Huang, Jianhua; Shen, Wenxian
37
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
Homoclinic orbits of the FitzHugh-Nagumo equation: bifurcations in the full system. Zbl 1210.34060
Guckenheimer, John; Kuehn, Christian
36
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.
36
2005
Wandering bumps in stochastic neural fields. Zbl 1278.92007
Kilpatrick, Zachary P.; Ermentrout, Bard
36
2013
Study of singularities in nonsmooth dynamical systems via singular perturbation. Zbl 1167.34304
Llibre, Jaume; Da Silva, Paulo R.; Teixeira, Marco A.
36
2009
Integration of dissipative partial differential equations: a case study. Zbl 1298.37071
Arioli, Gianni; Koch, Hans
35
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.
35
2010
Continuation of quasi-periodic invariant tori. Zbl 1090.37057
Schilder, Frank; Osinga, Hinke M.; Vogt, Werner
35
2005
A collisionless singular Cucker-Smale model with decentralized formation control. Zbl 1432.34063
Choi, Young-Pil; Kalise, Dante; Peszek, Jan; Peters, Andrés A.
35
2019
Variable projection methods for an optimized dynamic mode decomposition. Zbl 1384.37122
Askham, Travis; Kutz, J. Nathan
35
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.
34
2004
Front propagation in stochastic neural fields. Zbl 1246.92004
Bressloff, Paul C.; Webber, Matthew A.
34
2012
An efficient method for studying weak resonant double Hopf bifurcation in nonlinear systems with delayed feedbacks. Zbl 1210.34086
Xu, Jian; Chung, Kwok-Wai; Chan, Chuen-Lit
34
2007
Existence and stability of standing pulses in neural networks. I: Existence. Zbl 1109.34002
Guo, Yixin; Chow, Carson C.
34
2005
\(R_0\) analysis of a benthic-drift model for a stream population. Zbl 1364.92059
Huang, Qihua; Jin, Yu; Lewis, Mark A.
34
2016
Computing slow manifolds of saddle type. Zbl 1176.37026
Guckenheimer, John; Kuehn, Christian
34
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
33
2006
Random attractor for damped nonlinear wave equations with white noise. Zbl 1094.35154
Zhou, Shengfan; Yin, Fuqi; Ouyang, Zigen
33
2005
The Melnikov method and subharmonic orbits in a piecewise-smooth system. Zbl 1262.37028
Granados, A.; Hogan, S. J.; Seara, T. M.
33
2012
Local/global analysis of the stationary solutions of some neural field equations. Zbl 1194.92015
Veltz, Romain; Faugeras, Olivier
33
2010
Semistrong pulse interactions in a class of coupled reaction-diffusion equations. Zbl 1088.35517
Doelman, Arjen; Kaper, Tasso J.
33
2003
Neural fields with distributed transmission speeds and long-range feedback delays. Zbl 1210.34118
Atay, Fatihcan M.; Hutt, Axel
33
2006
Dynamics of a time-delayed Lyme disease model with seasonality. Zbl 1365.35075
Wang, Xiunan; Zhao, Xiao-Qiang
33
2017
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
Computation of limit cycles and their isochrons: fast algorithms and their convergence. Zbl 1291.37108
Huguet, Gemma; de la Llave, Rafael
33
2013
Canard induced mixed-mode oscillations in a medial entorhinal cortex layer II stellate cell model. Zbl 1167.34353
Rotstein, Horacio G.; Wechselberger, Martin; Kopell, Nancy
33
2008
On the state space geometry of the Kuramoto-Sivashinsky flow in a periodic domain. Zbl 1267.35027
Cvitanović, Predrag; Davidchack, Ruslan L.; Siminos, Evangelos
33
2010
TC-HAT (\(\widehat{TC}\)): a novel toolbox for the continuation of periodic trajectories in hybrid dynamical systems. Zbl 1192.34004
Thota, Phanikrishna; Dankowicz, Harry
33
2008
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
Some canonical bifurcations in the Swift-Hohenberg equation. Zbl 1210.34028
Peletier, L. A.; Williams, J. F.
32
2007
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
Neimark-Sacker bifurcations in planar, piecewise-smooth, continuous maps. Zbl 1159.37419
Simpson, D. J. W.; Meiss, J. D.
32
2008
Chaotic braided solutions via rigorous numerics: chaos in the Swift-Hohenberg equation. Zbl 1408.37062
van den Berg, Jan Bouwe; Lessard, Jean-Philippe
32
2008
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
32
2018
Homoclinic stripe patterns. Zbl 1004.35063
Doelman, Arjen; van der Ploeg, Harmen
31
2002
Scaling in singular perturbation problems: blowing up a relaxation oscillator. Zbl 1243.34066
Kosiuk, Ilona; Szmolyan, Peter
31
2011
Discrepancy modeling framework: learning missing physics, modeling systematic residuals, and disambiguating between deterministic and random effects. Zbl 1532.68095
Ebers, Megan R.; Steele, Katherine M.; Kutz, J. Nathan
1
2024
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
4
2023
Reaction network motifs for static and dynamic absolute concentration robustness. Zbl 1522.37091
Joshi, Badal; Craciun, Gheorghe
3
2023
Stability analysis of the immune system induced by chemotaxis. Zbl 07741166
Zheng, Pan; Shan, Wenhai; Liao, Guangyuan
3
2023
Resonances and phase locking phenomena for foliation preserving torus maps. Zbl 1515.37060
He, Xiaolong; de la Llave, Rafael
2
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
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
Non-Markovian models of opinion dynamics on temporal networks. Zbl 1522.91185
Chu, Weiqi; Porter, Mason A.
2
2023
Fast adjoint algorithm for linear responses of hyperbolic chaos. Zbl 1532.37071
Ni, Angxiu
2
2023
Optimal transport for parameter identification of chaotic dynamics via invariant measures. Zbl 1515.37100
Yang, Yunan; Nurbekyan, Levon; Negrini, Elisa; Martin, Robert; Pasha, Mirjeta
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
Geometric singular perturbation analysis of the multiple-timescale Hodgkin-Huxley equations. Zbl 1522.34074
Kaklamanos, Panagiotis; Popović, Nikola; Kristiansen, Kristian U.
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
Source-only realizations, weakly reversible deficiency one networks, and dynamical equivalence. Zbl 1523.37046
Deshpande, Abhishek
1
2023
Enlarged numerical attractors for lattice systems with porous media degeneracies. Zbl 1526.37085
Li, Yangrong; Wang, Fengling; Kloeden, Peter
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 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
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
Long-term behaviour of asymptotically autonomous Hamiltonian systems with multiplicative noise. Zbl 1522.34082
Sultanov, Oskar A.
1
2023
Sustainability or societal collapse: dynamics and bifurcations of the HANDY model. Zbl 1525.37093
Tonnelier, Arnaud
1
2023
Fronts in the wake of a parameter ramp: slow passage through pitchfork and fold bifurcations. Zbl 07741159
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Extinction of multiple populations and a team of die-out Lyapunov functions. Zbl 1528.37073
Akhavan, Naghmeh; Yorke, James A.
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Hopf bifurcations of reaction networks with zero-one stoichiometric coefficients. Zbl 1522.92027
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Low-order parametric state-space modeling of MIMO systems in the Loewner framework. Zbl 1530.93076
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1
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Regression-based projection for learning Mori-Zwanzig operators. Zbl 1532.37073
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1
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22
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Local and global existence for nonlocal multispecies advection-diffusion models. Zbl 1494.35002
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10
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An adaptive phase-amplitude reduction framework without \(\mathcal{O}(\epsilon)\) constraints on inputs. Zbl 1490.34045
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Emergent behaviors of rotation matrix flocks. Zbl 1513.70057
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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
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A bounded-confidence model of opinion dynamics on hypergraphs. Zbl 1482.91163
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Limitations and improvements of the intelligent driver model (IDM). Zbl 1512.90062
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Graphop mean-field limits for Kuramoto-type models. Zbl 1483.35270
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Derivative-free Bayesian inversion using multiscale dynamics. Zbl 1493.62132
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4
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Dynamics of small particle inertial migration in curved square ducts. Zbl 1486.76098
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Stability of cycles in a game of Rock-Scissors-Paper-Lizard-Spock. Zbl 1509.34045
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Persistence of Conley-Morse graphs in combinatorial dynamical systems. Zbl 1498.37069
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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
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Sequential attractors in combinatorial threshold-linear networks. Zbl 1491.92037
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Anti-integrability for three-dimensional quadratic maps. Zbl 1528.37056
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2
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Dynamics of \(N\)-spot rings with oscillatory tails in a three-component reaction-diffusion system. Zbl 1497.35301
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Perception of fundamental values and financial market dynamics: mathematical insights from a 2D piecewise linear map. Zbl 1509.37134
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Eigenfunction martingale estimators for interacting particle systems and their mean field limit. Zbl 1505.35334
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Stochastically adaptive control and synchronization: from globally one-sided Lipschitzian to only locally Lipschitzian systems. Zbl 1492.60182
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Poisson structure and reduction by stages of the full gravitational \(N\)-body problem. Zbl 1505.70033
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Validated spectral stability via conjugate points. Zbl 1494.37046
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Dynamical analysis and optimization of a generalized resource allocation model of microbial growth. Zbl 1490.37114
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1
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1
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Optimal energy shaping via neural approximators. Zbl 07589183
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Uncertainty propagation for general stochastic hybrid systems on compact Lie groups. Zbl 1498.93335
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Neuron scale modeling of Prion production with the unfolded protein response. Zbl 1509.34086
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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.
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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.
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A projected subgradient method for the computation of adapted metrics for dynamical systems. Zbl 1509.37119
Louzeiro, Mauricio; Kawan, Christoph; Hafstein, Sigurdur; Giesl, Peter; Yuan, Jinyun
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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
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Stationary and time-dependent molecular distributions in slow-fast feedback circuits. Zbl 1490.92025
Bokes, Pavol
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Process-oriented geometric singular perturbation theory and calcium dynamics. Zbl 1497.34060
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A graph-theoretic condition for delay stability of reaction systems. Zbl 1500.34073
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Angular values of nonautonomous and random linear dynamical systems. I: Fundamentals. Zbl 1498.37040
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Reactivity, attenuation, and transients in metapopulations. Zbl 1492.92059
Harrington, Peter D.; Lewis, Mark A.; van den Driessche, P.
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Dynamics of nonpolar solutions to the discrete Painlevé I equation. Zbl 1506.39013
Ercolani, Nicholas; Lega, Joceline; Tippings, Brandon
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Ensemble inference methods for models with noisy and expensive likelihoods. Zbl 1493.62124
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Numerical computation of high-order expansions of invariant manifolds of high-dimensional tori. Zbl 1503.37085
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Robust approximation of the stochastic Koopman operator. Zbl 1503.37086
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Hausdorff continuity of region of attraction boundary under parameter variation with application to disturbance recovery. Zbl 1495.37027
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Dynamical organization of recollisions by a family of invariant tori. Zbl 07484042
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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
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Global dynamics of a Lotka-Volterra competition-diffusion system in advective heterogeneous environments. Zbl 1476.35053
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Data assimilation for the Navier-Stokes equations using local observables. Zbl 1480.35309
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High-frequency instabilities of the Kawahara equation: a perturbative approach. Zbl 1478.35072
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Symbolic proof of bistability in reaction networks. Zbl 1465.37105
Torres, Angélica; Feliu, Elisenda
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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
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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
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Stability of motion induced by a point vortex under arbitrary polynomial perturbations. Zbl 1466.37046
Liu, Qihuai; Torres, Pedro J.
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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.
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2021
A subgradient algorithm for data-rate optimization in the remote state estimation problem. Zbl 1478.93074
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Multistability of small reaction networks. Zbl 1469.92051
Tang, Xiaoxian; Xu, Hao
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Rough path theory to approximate random dynamical systems. Zbl 1475.60102
Gao, H.; Garrido-Atienza, M. J.; Gu, A.; Lu, K.; Schmalfuß, B.
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Dynamic transitions and bifurcations for a class of axisymmetric geophysical fluid flow. Zbl 1461.76172
Han, Daozhi; Hernandez, Marco; Wang, Quan
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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
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Pattern formation and transition to chaos in a chemotaxis model of acute inflammation. Zbl 1475.92032
Giunta, Valeria; Lombardo, Maria Carmela; Sammartino, Marco
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Equilibria and their stability in networks with steep sigmoidal nonlinearities. Zbl 1483.37107
Duncan, William; Gedeon, Tomas; Kokubu, Hiroshi; Mischaikow, Konstantin; Oka, Hiroe
4
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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
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Conley’s fundamental theorem for a class of hybrid systems. Zbl 1480.37027
Kvalheim, Matthew D.; Gustafson, Paul; Koditschek, Daniel E.
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Stability domains for quadratic-bilinear reduced-order models. Zbl 1472.34105
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43 Mireles-James, Jason D.
40 Osinga, Hinke Maria
39 Kevrekidis, Ioannis George
39 Kutz, J. Nathan
37 Bressloff, Paul C.
36 Scheel, Arnd
35 Sandstede, Björn
34 Brunton, Steven L.
33 Rubin, Jonathan E.
33 Stewart, Ian Nicholas
32 Kevrekidis, Panayotis G.
32 Wechselberger, Martin
31 Carrillo de la Plata, José Antonio
29 Craciun, Gheorghe
29 Wei, Juncheng
28 de la Llave, Rafael
28 Mezić, Igor
28 Novaes, Douglas Duarte
28 Park, Hansol
28 Uldall Kristiansen, K.
28 Zhao, Xiao-Qiang
27 Hupkes, Hermen Jan
27 Teixeira, Marco Antonio
27 Wang, Hao
26 Mischaikow, Konstantin
26 Pelinovsky, Dmitry Efimovich
26 Shen, Wenxian
25 Desroches, Mathieu
24 Coombes, Stephen
24 Kim, Dohyun
23 Kolokolnikov, Theodore
23 Ponce, Enrique
23 Simpson, David John Warwick
23 van den Berg, Jan Bouwe
23 Wang, Jinliang
22 Adimy, Mostafa
22 Doelman, Arjen
22 Jeffrey, Mike R.
22 Laing, Carlo R.
22 van Heijster, Peter
21 Ashwin, Peter
21 Cao, Jinde
21 Chen, Guanrong
21 de Carvalho, Tiago
21 Duan, Jinqiao
21 Moehlis, Jeff
21 Wang, Bixiang
21 Wilson, Dan D.
20 Fetecau, Razvan C.
20 Knobloch, Edgar
20 Rademacher, Jens Diederich Michael
19 Balasuriya, Sanjeeva
19 Dias, Ana Paula S.
19 Gao, Hongjun
19 Golubitsky, Martin A.
19 Kilpatrick, Zachary P.
19 Porfiri, Maurizio
19 Sherratt, Jonathan A.
19 Zgliczyński, Piotr
18 Bi, Qinsheng
18 Blömker, Dirk
18 Bollt, Erik M.
18 Faye, Grégory
18 Huang, Lihong
18 Teng, Zhi-dong
18 Wanner, Thomas
17 Aguiar, Manuela A. D.
17 Feliu, Elisenda
17 Gardini, Laura
17 Gedeon, Tomáš
17 Ghosh, Dibakar
17 Lawley, Sean D.
17 Shi, Junping
17 Zhang, Mingji
17 Zhang, Xiang
16 Cai, Yongli
16 Giannakis, Dimitrios
16 Kaper, Tasso J.
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16 Meiss, James D.
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16 Sieber, Jan
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16 Wang, Weiming
16 Wu, Jianhong
16 Wyller, John A.
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15 Alla, Alessandro
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438 Physica D
347 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
325 Journal of Differential Equations
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229 Communications in Nonlinear Science and Numerical Simulation
221 Discrete and Continuous Dynamical Systems. Series B
207 Journal of Nonlinear Science
163 Nonlinearity
147 Journal of Mathematical Biology
145 Nonlinear Dynamics
140 Journal of Mathematical Analysis and Applications
133 Journal of Dynamics and Differential Equations
132 Journal of Computational Physics
124 Bulletin of Mathematical Biology
115 Journal of Fluid Mechanics
115 Chaos, Solitons and Fractals
110 Applied Mathematics and Computation
107 SIAM Journal on Applied Mathematics
105 Nonlinear Analysis. Real World Applications
93 Discrete and Continuous Dynamical Systems
90 Automatica
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78 Mathematical Biosciences and Engineering
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65 Qualitative Theory of Dynamical Systems
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60 Journal of Computational and Applied Mathematics
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56 The Journal of Mathematical Neuroscience
55 Mathematical Methods in the Applied Sciences
55 Physics Letters. A
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51 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
48 Journal of Computational Neuroscience
47 Biological Cybernetics
47 ZAMP. Zeitschrift für angewandte Mathematik und Physik
47 Regular and Chaotic Dynamics
46 SIAM Journal on Scientific Computing
44 Discrete and Continuous Dynamical Systems. Series S
43 Applied Mathematical Modelling
43 Celestial Mechanics and Dynamical Astronomy
42 Journal of the Franklin Institute
42 Journal of Computational Dynamics
41 Communications on Pure and Applied Analysis
40 Computers & Mathematics with Applications
40 European Journal of Applied Mathematics
39 Mathematics and Computers in Simulation
38 Journal of Physics A: Mathematical and Theoretical
36 Dynamical Systems
33 Archive for Rational Mechanics and Analysis
33 Communications in Mathematical Physics
33 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
32 Applicable Analysis
32 Journal of Difference Equations and Applications
32 Mathematical Modelling of Natural Phenomena
32 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
31 Studies in Applied Mathematics
30 Acta Applicandae Mathematicae
30 Neural Computation
29 Nonlinear Analysis. Hybrid Systems
28 SIAM Journal on Control and Optimization
27 Abstract and Applied Analysis
26 Proceedings of the American Mathematical Society
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25 International Journal of Robust and Nonlinear Control
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23 Mathematical Problems in Engineering
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22 Quarterly of Applied Mathematics
22 Multiscale Modeling & Simulation
21 Journal of Scientific Computing
21 SIAM/ASA Journal on Uncertainty Quantification
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19 Advances in Computational Mathematics
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19 Kinetic and Related Models
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16 Transactions of the American Mathematical Society
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