# zbMATH — the first resource for mathematics

## Journal of Dynamics and Differential Equations

 Short Title: J. Dyn. Differ. Equations Publisher: Springer US, New York, NY ISSN: 1040-7294; 1572-9222/e Online: http://link.springer.com/journal/volumesAndIssues/10884 Comments: Indexed cover-to-cover
 Documents Indexed: 1,261 Publications (since 1989) References Indexed: 1,073 Publications with 27,936 References.
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#### Authors

 18 Yi, Yingfei 17 Llibre, Jaume 17 Zhao, Xiao-Qiang 16 Shen, Wenxian 13 Vidal, Claudio 13 Walther, Hans-Otto 11 Valls Anglés, Cláudia 10 Foiaş, Ciprian Ilie 10 Johnson, Russell Allan 10 Mallet-Paret, John Joseph 10 Obaya, Rafael 9 Geng, Jiansheng 9 Kukavica, Igor 9 Siegmund, Stefan 9 Wu, Jianhong 8 Dieci, Luca 8 Huang, Wenzhang 8 Lin, Xiaobiao 8 Liu, Weishi 8 Poláčik, Peter 8 Raugel, Geneviève 8 Schecter, Stephen 8 Smith, Hal Leslie 8 Titi, Edriss Saleh 7 Barreira, Luis Manuel 7 Fiedler, Bernold 7 Hale, Jack Kenneth 7 Mischaikow, Konstantin 7 Palmer, Kenneth James 7 Rocha, Carlos 7 Sandstede, Björn 7 Scheel, Arnd 7 Schmalfuß, Björn 7 Sell, George Roger 7 Yu, Jian-She 6 Battelli, Flaviano 6 Brunovský, Pavol 6 Faria, Teresa 6 Franca, Matteo 6 Huang, Wen 6 Kokubu, Hiroshi 6 Ruan, Shigui 6 Van Vleck, Erik S. 6 Wei, Junjie 6 Yanagida, Eiji 5 Chow, Shui-Nee 5 Chueshov, Igor’ Dmitrievich 5 Colonius, Fritz 5 Crauel, Hans 5 de la Llave, Rafael 5 Feireisl, Eduard 5 Feng, Zhilan 5 Flandoli, Franco 5 Gedeon, Tomáš 5 Guo, Jong-Shenq 5 Jones, Christopher K. R. T. 5 Kloeden, Peter Eris 5 Krisztin, Tibor 5 Meyer, Kenneth R. 5 Mielke, Alexander 5 Morita, Yoshihisa 5 Novo, Sylvia 5 Núñez, Carmen A. 5 Nussbaum, Roger David 5 Ortega, Rafael 5 Rodrigues, Hildebrando Munhoz 5 Solà-Morales, Joan 5 Teixeira, Marco Antonio 5 Temam, Roger Meyer 5 Zou, Xingfu 4 Babin, Anatoli V. 4 Beyn, Wolf-Jürgen 4 Calamai, Alessandro 4 Campbell, Sue Ann 4 Cazenave, Thierry 4 Cheban, David Nikolai 4 Deng, Bo 4 Ei, Shin-Ichiro 4 Fečkan, Michal 4 Fusco, Giorgio 4 Hirsch, Morris W. 4 Hupkes, Hermen Jan 4 Ji, Min 4 Jolly, Michael S. 4 Kozitsky, Yuri Vasil’evich 4 Latushkin, Yuri 4 Li, Wan-Tong 4 Li, Yong 4 Lu, Kening 4 Ma, Shiwang 4 Matano, Hiroshi 4 Mrozek, Marian 4 Nicolaenko, Basil 4 Oka, Hiroe 4 Pilyugin, Sergei Yu. 4 Pötzsche, Christian 4 Robinson, James Cooper 4 Rosa, Ricardo M. S. 4 Sacker, Robert J. 4 Shi, Junping ...and 1,503 more Authors
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#### Fields

 569 Partial differential equations (35-XX) 509 Ordinary differential equations (34-XX) 503 Dynamical systems and ergodic theory (37-XX) 161 Biology and other natural sciences (92-XX) 86 Fluid mechanics (76-XX) 72 Mechanics of particles and systems (70-XX) 65 Operator theory (47-XX) 60 Probability theory and stochastic processes (60-XX) 43 Numerical analysis (65-XX) 29 General topology (54-XX) 28 Global analysis, analysis on manifolds (58-XX) 27 Systems theory; control (93-XX) 23 Difference and functional equations (39-XX) 19 Mechanics of deformable solids (74-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 17 Integral equations (45-XX) 16 Statistical mechanics, structure of matter (82-XX) 15 Measure and integration (28-XX) 11 Differential geometry (53-XX) 11 Optics, electromagnetic theory (78-XX) 11 Classical thermodynamics, heat transfer (80-XX) 10 History and biography (01-XX) 7 Functional analysis (46-XX) 5 Real functions (26-XX) 4 General and overarching topics; collections (00-XX) 4 Functions of a complex variable (30-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Manifolds and cell complexes (57-XX) 4 Geophysics (86-XX) 4 Operations research, mathematical programming (90-XX) 3 Combinatorics (05-XX) 3 Topological groups, Lie groups (22-XX) 3 Algebraic topology (55-XX) 3 Quantum theory (81-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Special functions (33-XX) 2 Integral transforms, operational calculus (44-XX) 2 Convex and discrete geometry (52-XX) 2 Computer science (68-XX) 2 Astronomy and astrophysics (85-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

1,031 Publications have been cited 11,945 times in 8,704 Documents Cited by Year
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1997
Traveling wave fronts of reaction-diffusion systems with delay. Zbl 0996.34053
Wu, Jianhong; Zou, Xingfu
2001
Threshold dynamics for compartmental epidemic models in periodic environments. Zbl 1157.34041
Wang, Wendi; Zhao, Xiao-Qiang
2008
The three dimensional viscous Camassa-Holm equations, and their relation to the Navier-Stokes equations and turbulence theory. Zbl 0995.35051
Foias, Ciprian; Holm, Darryl D.; Titi, Edriss S.
2002
Uniform persistence and flows near a closed positively invariant set. Zbl 0811.34033
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1994
The global structure of traveling waves in spatially discrete dynamical systems. Zbl 0921.34046
Mallet-Paret, John
1999
The Fredholm alternative for functional-differential equations of mixed type. Zbl 0927.34049
Mallet-Paret, John
1999
Slow-motion manifolds, dormant instability, and singular perturbations. Zbl 0684.34055
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1989
The impact of media on the control of infectious diseases. Zbl 1160.34045
Cui, Jingan; Sun, Yonghong; Zhu, Huaiping
2008
Traveling fronts in monostable equations with nonlocal delayed effects. Zbl 1141.35058
Wang, Zhi-Cheng; Li, Wan-Tong; Ruan, Shigui
2008
Robustness of exponential dichotomies in infinite-dimensional dynamical systems. Zbl 0941.37052
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1999
Global attractors for the three-dimensional Navier-Stokes equations. Zbl 0855.35100
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1996
Attractors for second-order evolution equations with a nonlinear damping. Zbl 1072.37054
Chueshov, Igor; Lasiecka, Irena
2004
The Poincaré-Bendixson theorem for monotone cyclic feedback systems. Zbl 0712.34060
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1990
Chain transitivity, attractivity, and strong repellors for semidynamical systems. Zbl 1129.37306
Hirsch, Morris W.; Smith, Hal L.; Zhao, Xiao-Qiang
2001
On a free boundary problem for a two-species weak competition system. Zbl 1263.35132
Guo, Jong-Shenq; Wu, Chang-Hong
2012
Exponential tracking and approximation of inertial manifolds for dissipative nonlinear equations. Zbl 0692.35053
Foias, Ciprian; Sell, George R.; Titi, Edriss S.
1989
Entire solutions with merging fronts to reaction-diffusion equations. Zbl 1125.35050
Morita, Yoshihisa; Ninomiya, Hirokazu
2006
Free boundary problems for a Lotka-Volterra competition system. Zbl 1304.35783
Wang, Mingxin; Zhao, Jingfu
2014
Homoclinic bifurcation at resonant eigenvalues. Zbl 0703.34050
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1990
Limit cycles near homoclinic and heteroclinic loops. Zbl 1165.34016
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2008
Smooth stable and unstable manifolds for stochastic evolutionary equations. Zbl 1065.60077
Duan, Jinqiao; Lu, Kening; Schmalfuss, Björn
2004
Rotating waves in neutral partial functional differential equations. Zbl 0939.35188
Wu, J.; Xia, H.
1999
Global bifurcation and structure of Turing patterns in the 1-D Lengyel-Epstein model. Zbl 1072.35091
Jang, Jaeduck; Ni, Wei-Ming; Tang, Moxun
2004
Bifurcation and coalescence of a plethora of homoclinic orbits for a Hamiltonian system. Zbl 0854.34047
Buffoni, B.; Champneys, A. R.; Toland, J. F.
1996
Traveling wave solutions for a class of one-dimensional nonlinear shallow water wave models. Zbl 1062.35080
Cao, Chongsheng; Holm, Darryl D.; Titi, Edriss S.
2004
Basic reproduction ratios for periodic compartmental models with time delay. Zbl 1365.34145
Zhao, Xiao-Qiang
2017
Subharmonic solutions with prescribed minimal period of a discrete forced pendulum equation. Zbl 1067.39022
Yu, Jianshe; Long, Yuhua; Guo, Zhiming
2004
Traveling waves in diffusive random media. Zbl 1082.35081
Shen, Wenxian
2004
Existence and stability of traveling waves in periodic media governed by a bistable nonlinearity. Zbl 0769.35033
Xin, Xue
1991
Cascades of homoclinic orbits to, and chaos near, a Hamiltonian saddle- center. Zbl 0749.58022
Mielke, A.; Holmes, P.; O’Reilly, O.
1992
The conjugacy of stochastic and random differential equations and the existence of global attractors. Zbl 1004.37034
Imkeller, Peter; Schmalfuss, Björn
2001
The motion of weakly interacting pulses in reaction-diffusion systems. Zbl 1007.35039
Ei, Shin-Ichiro
2002
Convergence for semilinear degenerate parabolic equations in several space dimensions. Zbl 0977.35069
Feireisl, Eduard; Simondon, Frédérique
2000
Diffusive coupling, dissipation, and synchronization. Zbl 1091.34532
Hale, Jack K.
1997
Resonant homoclinic flip bifurcations. Zbl 0990.37038
Homburg, Ale Jan; Krauskopf, Bernd
2000
Additive noise destroys a pitchfork bifurcation. Zbl 0907.34042
Crauel, Hans; Flandoli, Franco
1998
Stability in a model of a delayed neural network. Zbl 0796.34063
Bélair, Jacques
1993
Instability of solitary waves for generalized Boussinesq equations. Zbl 0784.34048
Liu, Yue
1993
Attractors of reaction diffusion systems on infinite lattices. Zbl 1041.37040
Beyn, W.-J.; Pilyugin, S. Yu
2003
Spectral barriers and inertial manifolds for dissipative partial differential equations. Zbl 0701.35024
Constantin, P.; Foias, C.; Nicolaenko, B.; Témam, R.
1989
Stability and synchronization of a ring of identical cells with delayed coupling. Zbl 1071.34079
Yuan, Yuan; Campbell, Sue Ann
2004
Exponential separation and invariant bundles for maps in ordered Banach spaces with applications to parabolic equations. Zbl 0786.58002
Poláčik, P.; Tereščák, Ignác
1993
Dichotomy spectrum for nonautonomous differential equations. Zbl 0998.34045
Siegmund, Stefan
2002
A free boundary problem for the predator-prey model with double free boundaries. Zbl 1373.35164
Wang, Mingxin; Zhao, Jingfu
2017
Limit cycles, tori, and complex dynamics in a second-order differential equation with delayed negative feedback. Zbl 0816.34048
Campbell, Sue Ann; Bélair, Jaques; Ohira, Toru; Milton, John
1995
Hopf bifurcation for functional differential equations of mixed type. Zbl 0684.34070
Rustichini, Aldo
1989
Problem on minimum wave speed for a Lotka-Volterra reaction-diffusion competition model. Zbl 1201.34068
Huang, Wenzhang
2010
Ergodicity of the infinite dimensional fractional Brownian motion. Zbl 1228.37004
Garrido-Atienza, María J.; Schmalfuß, Björn
2011
Existence, uniqueness and asymptotic stability of traveling wavefronts in a non-local delayed diffusion equation. Zbl 1157.35057
Ma, Shiwang; Wu, Jianhong
2007
Criteria for the existence and lower bounds of principal eigenvalues of time periodic nonlocal dispersal operators and applications. Zbl 1258.35155
Rawal, Nar; Shen, Wenxian
2012
The effect of growth and curvature on pattern formation. Zbl 1073.35117
Plaza, R. G.; Sánchez-Garduño, F.; Padilla, P.; Barrio, R. A.; Maini, P. K.
2004
Regularization of discontinuous vector fields on $${\mathbb{R}^3}$$ via singular perturbation. Zbl 1127.34003
Llibre, Jaume; da Silva, Paulo R.; Teixeira, Marco A.
2007
Bifurcations to $$N$$-homoclinic orbits and $$N$$-periodic orbits in vector fields. Zbl 0784.34038
Kisaka, Masashi; Kokubu, Hiroshi; Oka, Hiroe
1993
Approximate inertial manifolds for reaction-diffusion equations in high space dimension. Zbl 0702.35127
Marion, Martine
1989
Traveling wave solutions for a class of predator-prey systems. Zbl 1365.35056
Huang, Wenzhang
2012
Global analysis of two tuberculosis models. Zbl 1056.92052
McCluskey, C. Connell; van den Driessche, P.
2004
Unfoldings of quasi-periodic tori in reversible systems. Zbl 0820.58050
Broer, H. W.; Huitema, G. B.
1995
Random attractors for degenerate stochastic partial differential equations. Zbl 1264.37047
Gess, Benjamin
2013
Existence, uniqueness, and stability of generalized traveling waves in time dependent monostable equations. Zbl 1223.35103
Shen, Wenxian
2011
Hausdorff dimension of invariant sets for random dynamical systems. Zbl 0927.37031
Crauel, Hans; Flandoli, Franco
1998
Traveling wave solutions for delayed reaction-diffusion systems and applications to diffusive Lotka-Volterra competition models with distributed delays. Zbl 1311.35052
Lin, Guo; Ruan, Shigui
2014
Exponential attractors of reaction-diffusion systems in an unbounded domain. Zbl 0846.35061
Babin, Anatoli; Nicolaenko, Basil
1995
Poisson-Nernst-Planck systems for narrow tubular-like membrane channels. Zbl 1218.37113
Liu, Weishi; Wang, Bixiang
2010
The two-dimensional attractor of a differential equation with state-dependent delay. Zbl 1016.34075
Krisztin, Tibor; Arino, Ovide
2001
Constructing dynamical systems having homoclinic bifurcation points of codimension two. Zbl 0879.34051
Sandstede, Björn
1997
Consumer memory and price fluctuations in community markets: An integrodifferential model. Zbl 0682.34050
Bélair, Jacques; Mackey, Michael C.
1989
Functional differential equations of mixed type: The linear autonomous case. Zbl 0684.34065
Rustichini, Aldo
1989
Dynamics of a periodically pulsed bio-reactor model with a hydraulic storage zone. Zbl 1242.35208
Hsu, Sze-Bi; Wang, Feng-Bin; Zhao, Xiao-Qiang
2011
Exponential dichotomy and mild solutions of nonautonomous equations in Banach spaces. Zbl 0908.34045
Latushkin, Y.; Randolph, T.; Schnaubelt, R.
1998
Semiflows on topological spaces: chain transitivity and semigroups. Zbl 1127.37021
Patrão, Mauro; San Martin, Luiz A. B.
2007
Bifurcation analysis of a predator-prey system with generalised Holling type III functional response. Zbl 1160.34047
Lamontagne, Yann; Coutu, Caroline; Rousseau, Christiane
2008
Oscillations and global attractivity in models of hematopoiesis. Zbl 0694.34057
Gopalsamy, K.; Kulenović, M. R. S.; Ladas, G.
1990
Stable steady state of some population models. Zbl 0744.34071
Karakostas, G.; Philos, Ch. G.; Sficas, Y. G.
1992
Inertial manifolds and inertial sets for the phase-field equations. Zbl 0758.35040
Bates, Peter W.; Zheng, Songmu
1992
Global and trajectory attractors for a nonlocal Cahn-Hilliard-Navier-Stokes system. Zbl 1261.35105
Frigeri, Sergio; Grasselli, Maurizio
2012
The minimal speed of traveling fronts for the Lotka-Volterra competition system. Zbl 1222.35053
Guo, Jong-Shenq; Liang, Xing
2011
Linear stability of relative equilibria with a dominant mass. Zbl 0793.70008
Moeckel, Richard
1994
Computer assisted proof of transverse saddle-to-saddle connecting orbits for first order vector fields. Zbl 1351.37107
Lessard, Jean-Philippe; Mireles James, Jason D.; Reinhardt, Christian
2014
Wavefronts for a cooperative tridiagonal system of differential equations. Zbl 0777.34013
Hankerson, D.; Zinner, B.
1993
Chain recurrence, semiflows, and gradients. Zbl 0832.34041
Hurley, Mike
1995
Asymptotic pseudotrajectories and chain recurrent flows, with applications. Zbl 0878.58053
Benaïm, Michel; Hirsch, Morris W.
1996
Metastability in chemotaxis models. Zbl 1170.35460
Potapov, A. B.; Hillen, T.
2005
Existence of a singularly degenerate heteroclinic cycle in the Lorenz system and its dynamical consequences. I. Zbl 1061.34036
Kokubu, Hiroshi; Roussarie, Robert
2004
Dynamics of measured valued solutions to a backward-forward heat equation. Zbl 0747.35013
Slemrod, M.
1991
Erratum to “Traveling wave fronts of reaction-diffusion systems with delays” [J. Dynam. Diff. Eq. 13, 651, 687 (2001)]. Zbl 1153.34342
Wu, Jianhong; Zou, Xingfu
2008
Invertibility and dichotomy of differential operators on a half-line. Zbl 0771.34011
Ben-Artzi, A.; Gohberg, I.; Kaashoek, M. A.
1993
The asymptotic speed of spread and traveling waves for a vector disease model. Zbl 1114.45001
Zhao, Xiao-Qiang; Xiao, Dongmei
2006
Traveling wave solutions for a predator-prey system with sigmoidal response function. Zbl 1252.34048
Lin, Xiaobiao; Weng, Peixuan; Wu, Chufen
2011
Attractors and chain recurrence for semigroup actions. Zbl 1209.37013
Barros, Carlos J. Braga; Souza, Josiney A.
2010
A variant of Newton’s method for the computation of traveling waves of bistable differential-difference equations. Zbl 1007.65062
Elmer, Christopher E.; Van Vleck, Erik S.
2002
Weak solutions and attractors for three-dimensional Navier-Stokes equations with nonregular force. Zbl 0931.35124
Flandoli, Franco; Schmalfuß, Björn
1999
Orbital stability of periodic waves for the nonlinear Schrödinger equation. Zbl 1132.35079
Gallay, Thierry; Hǎrǎgus, Mariana
2007
Limit cycles bifurcating from the period annulus of quasi-homogeneous centers. Zbl 1176.34038
Li, Weigu; Llibre, Jaume; Yang, Jiazhong; Zhang, Zhifen
2009
Attractors of parabolic equations without uniqueness. Zbl 0996.35037
Valero, José
2001
Exponential attractors in Banach spaces. Zbl 1040.37069
Dung, L.; Nicolaenko, B.
2001
Analysis of Newton’s method to compute travelling waves in discrete media. Zbl 1144.34382
Hupkes, H. J.; Verduyn Lunel, S. M.
2005
Full measure reducibility for generic one-parameter family of quasi-periodic linear systems. Zbl 1166.34019
Her, Hai-Long; You, Jiangong
2008
Global analysis of the phase portrait for the Kuramoto-Sivashinsky equation. Zbl 0833.35074
Il’yashenko, Ju. S.
1992
Sets of dynamical systems with various limit shadowing properties. Zbl 1128.37018
Pilyugin, Sergei Yu.
2007
Dynamics of classical Poisson-Nernst-Planck systems with multiple cations and boundary layers. Zbl 07307362
Wen, Zhenshu; Zhang, Lijun; Zhang, Mingji
2021
A note on $$L^p - L^q$$ estimates for semilinear critical dissipative Klein-Gordon equations. Zbl 1465.35296
D&rsquo;Abbicco, Marcello; Palmieri, Alessandro
2021
Singular stationary measures for random piecewise affine interval homeomorphisms. Zbl 07307366
2021
Robust degenerate unfoldings of cycles and tangencies. Zbl 1460.37028
Barrientos, Pablo G.; Raibekas, Artem
2021
Reeb’s theorem and periodic orbits for a rotating Hénon-Heiles potential. Zbl 1460.37061
Lanchares, V.; Pascual, A. I.; Iñarrea, M.; Salas, J. P.; Palacián, J. F.; Yanguas, P.
2021
Upper and lower semicontinuity of impulsive cocycle attractors for impulsive nonautonomous systems. Zbl 07307369
Bonotto, E. M.; Bortolan, M. C.; Caraballo, T.; Collegari, R.
2021
KAM tori for completely resonant Hamiltonian derivative beam equations on $$\mathbb{T}^2$$. Zbl 1460.37070
Ge, Chuanfang; Geng, Jiansheng; Lou, Zhaowei
2021
Analysis of a reaction-diffusion cholera model with distinct dispersal rates in the human population. Zbl 1458.35433
Wang, Jinliang; Wang, Jing
2021
Relative topological entropy for actions of non-discrete groups on compact spaces in the context of cut and project schemes. Zbl 1467.37020
Hauser, T.
2021
Asymptotic behavior of solutions of the dispersion generalized Benjamin-Ono equation. Zbl 07348202
Linares, F.; Mendez, A.; Ponce, G.
2021
On rigid minimal spaces. Zbl 07348204
Boroński, Jan P.; Činč, Jernej; Foryś-Krawiec, Magdalena
2021
Long time behavior of random and nonautonomous Fisher-KPP equations. I: Stability of equilibria and spreading speeds. Zbl 1464.35038
Salako, Rachidi B.; Shen, Wenxian
2021
A note on mean equicontinuity. Zbl 1436.37015
Qiu, Jiahao; Zhao, Jianjie
2020
Ground state solutions of discrete asymptotically linear Schrödinger equations with bounded and non-periodic potentials. Zbl 1439.39010
Lin, Genghong; Zhou, Zhan; Yu, Jianshe
2020
Bifurcation analysis for a delayed diffusive logistic population model in the advective heterogeneous environment. Zbl 1439.35040
Chen, Shanshan; Wei, Junjie; Zhang, Xue
2020
Long time behavior of solutions to the 2D Boussinesq equations with zero diffusivity. Zbl 1452.35039
Kukavica, Igor; Wang, Weinan
2020
Propagation dynamics in a time periodic nonlocal dispersal model with stage structure. Zbl 1442.35211
Li, Wan-Tong; Wang, Jia-Bing; Zhao, Xiao-Qiang
2020
Double Hopf bifurcation in delayed reaction-diffusion systems. Zbl 1437.35052
Du, Yanfei; Niu, Ben; Guo, Yuxiao; Wei, Junjie
2020
On conditions for rate-induced tipping in multi-dimensional dynamical systems. Zbl 07169604
Kiers, Claire; Jones, Christopher K. R. T.
2020
Spreading speeds for reaction-diffusion equations with a shifting habitat. Zbl 1453.92350
Hu, Changbing; Shang, Jin; Li, Bingtuan
2020
The period function of Hamiltonian systems with separable variables. Zbl 1451.37085
2020
Nonstandard quasi-monotonicity: an application to the wave existence in a neutral KPP-Fisher equation. Zbl 1443.34065
Hernández, Eduardo; Trofimchuk, Sergei
2020
Diffusive spatial movement with memory. Zbl 1439.92215
Shi, Junping; Wang, Chuncheng; Wang, Hao; Yan, Xiangping
2020
The dynamics of a predator-prey model with diffusion and indirect prey-taxis. Zbl 1445.35075
Wang, Jianping; Wang, Mingxin
2020
Instability of standing waves for the nonlinear Schrödinger-Poisson equation in the $$L^2$$-critical case. Zbl 1445.35133
Feng, Binhua; Chen, Ruipeng; Wang, Qingxuan
2020
Global boundedness and stabilization in a two-competing-species chemotaxis-fluid system with two chemicals. Zbl 1446.35237
Zheng, Pan; Willie, Robert; Mu, Chunlai
2020
Morse index theorem of Lagrangian systems and stability of brake orbit. Zbl 1437.37071
Hu, Xijun; Wu, Li; Yang, Ran
2020
Stable and unstable periodic spiky solutions for the Gray-Scott system and the Schnakenberg system. Zbl 1437.35054
Gomez, Daniel; Mei, Linfeng; Wei, Juncheng
2020
Almost automorphically and almost periodically forced circle flows of almost periodic parabolic equations on $$S^1$$. Zbl 1452.35078
Shen, Wenxian; Wang, Yi; Zhou, Dun
2020
Whiskered tori for forced beam equations with multi-dimensional Liouvillean frequency. Zbl 1446.37057
Cheng, Hongyu; Si, Wen; Si, Jianguo
2020
Global asymptotic behavior of a multi-species stochastic chemostat model with discrete delays. Zbl 1439.92208
Wang, Liang; Jiang, Daqing; Wolkowicz, Gail S. K.
2020
Fast-slow dynamics for intraguild predation models with evolutionary effects. Zbl 1461.34073
Shen, Jianhe; Hsu, Cheng-Hsiung; Yang, Ting-Hui
2020
The stability of fixed points on switching manifolds of piecewise-smooth continuous maps. Zbl 1445.37019
Simpson, D. J. W.
2020
Robustness of hyperbolicity in delay equations. Zbl 1434.34062
Barreira, Luis; Valls, Claudia
2020
An explicit periodic solution of a delay differential equation. Zbl 1443.34071
Nakata, Yukihiko
2020
Circular non-collision orbits for a large class of $$n$$-body problems. Zbl 07169593
Tibboel, Pieter
2020
A KAM theorem for higher dimensional wave equations under nonlocal perturbation. Zbl 1439.35025
Chen, Yin; Geng, Jiansheng
2020
Standing waves of fixed period for $$n+1$$ vortex filaments. Zbl 1452.35027
Craig, Walter; García-Azpeitia, Carlos
2020
The generalized recurrent set, explosions and Lyapunov functions. Zbl 1462.37015
Bernardi, Olga; Florio, Anna; Wiseman, Jim
2020
Effective slow dynamics models for a class of dispersive systems. Zbl 1452.35014
Baumstark, Simon; Schneider, Guido; Schratz, Katharina; Zimmermann, Dominik
2020
Existence of waves for a bistable reaction-diffusion system with delay. Zbl 1442.35213
Volpert, V.
2020
Periodic phenomena and driving mechanisms in transmission of West Nile virus with maturation time. Zbl 1439.92180
Shan, Chunhua; Fan, Guihong; Zhu, Huaiping
2020
Long-time dynamics of Balakrishnan-Taylor extensible beams. Zbl 1445.35060
Gomes Tavares, E. H.; Jorge Silva, M. A.; Narciso, V.
2020
Blowing up solutions for nonlinear parabolic systems with unequal elliptic operators. Zbl 1445.35083
Fujishima, Yohei; Ishige, Kazuhiro
2020
Basic reproduction ratios for periodic abstract functional differential equations (with application to a spatial model for Lyme disease). Zbl 1425.34086
Liang, Xing; Zhang, Lei; Zhao, Xiao-Qiang
2019
Wong-Zakai approximations and long term behavior of stochastic partial differential equations. Zbl 1419.35261
Lu, Kening; Wang, Bixiang
2019
Weak pullback attractors for mean random dynamical systems in Bochner spaces. Zbl 1428.35052
Wang, Bixiang
2019
Evolutionary branching via replicator-mutator equations. Zbl 1426.92047
Alfaro, Matthieu; Veruete, Mario
2019
Time-dependent focusing mean-field games: the sub-critical case. Zbl 1408.35076
Cirant, Marco; Tonon, Daniela
2019
Nontrivial solutions for Schrödinger equation with local super-quadratic conditions. Zbl 1414.35062
Tang, Xianhua; Lin, Xiaoyan; Yu, Jianshe
2019
Spreading and vanishing for a monostable reaction-diffusion equation with forced speed. Zbl 07047666
Bouhours, Juliette; Giletti, Thomas
2019
On a conjecture raised by Yuzo Hosono. Zbl 1408.35068
2019
Asymptotic profiles of solutions for structural damped wave equations. Zbl 1437.35443
Ikehata, Ryo; Takeda, Hiroshi
2019
Global existence and stability of nearly aligned flocks. Zbl 1426.92094
Shvydkoy, Roman
2019
Properties of stationary statistical solutions of the three-dimensional Navier-Stokes equations. Zbl 1421.35243
Foias, Ciprian; Rosa, Ricardo M. S.; Temam, Roger M.
2019
Persistence, coexistence and extinction in two species chemotaxis models on bounded heterogeneous environments. Zbl 1439.35491
Issa, Tahir Bachar; Shen, Wenxian
2019
Blow up profiles for a quasilinear reaction-diffusion equation with weighted reaction with linear growth. Zbl 1430.35109
Iagar, Razvan Gabriel; Sánchez, Ariel
2019
Local and global stabilities of a viral dynamics model with infection-age and immune response. Zbl 1417.35210
Pang, Jianhua; Chen, Jing; Liu, Zijian; Bi, Ping; Ruan, Shigui
2019
Traveling waves in epidemic models: non-monotone diffusive systems with non-monotone incidence rates. Zbl 1415.92194
Shu, Hongying; Pan, Xuejun; Wang, Xiang-Sheng; Wu, Jianhong
2019
Flux ratios and channel structures. Zbl 1426.78011
Ji, Shuguan; Eisenberg, Bob; Liu, Weishi
2019
Analysis of a stochastic $$2D$$-Navier-Stokes model with infinite delay. Zbl 1427.35182
Liu, Linfang; Caraballo, Tomás
2019
Uniqueness and stability of coexistence states in two species models with/without chemotaxis on bounded heterogeneous environments. Zbl 1439.35492
Issa, Tahir Bachar; Shen, Wenxian
2019
Invariance pressure for control systems. Zbl 1411.37073
Colonius, Fritz; Santana, Alexandre J.; Cossich, João A. N.
2019
Low regularity for the higher order nonlinear dispersive equation in Sobolev spaces of negative index. Zbl 1421.35043
Zhang, Zaiyun; Liu, Zhenhai; Sun, Mingbao; Li, Songhua
2019
Isolas versus snaking of localized rolls. Zbl 1422.34132
Aougab, Tarik; Beck, Margaret; Carter, Paul; Desai, Surabhi; Sandstede, Björn; Stadt, Melissa; Wheeler, Aric
2019
Global classical solutions, stability of constant equilibria, and spreading speeds in attraction-repulsion chemotaxis systems with logistic source on $$\mathbb{R}^{N}$$. Zbl 1426.35035
Salako, Rachidi B.; Shen, Wenxian
2019
Convergence to equilibrium in Fokker-Planck equations. Zbl 1428.35601
Ji, Min; Shen, Zhongwei; Yi, Yingfei
2019
A geometric perspective on regularized optimal transport. Zbl 1429.49049
Léger, Flavien
2019
On blowup solutions to the focusing intercritical nonlinear fourth-order Schrödinger equation. Zbl 1431.35171
Dinh, Van Duong
2019
Turing instability and Turing-Hopf bifurcation in diffusive Schnakenberg systems with gene expression time delay. Zbl 1428.35033
Jiang, Weihua; Wang, Hongbin; Cao, Xun
2019
Pinned solutions in a heterogeneous three-component FitzHugh-Nagumo model. Zbl 1415.35018
van Heijster, Peter; Chen, Chao-Nien; Nishiura, Yasumasa; Teramoto, Takashi
2019
Upper large deviations bound for singular-hyperbolic attracting sets. Zbl 1451.37045
Araujo, Vitor; Souza, Andressa; Trindade, Edvan
2019
Quasi-periodic solutions for differential equations with an elliptic-type degenerate equilibrium point under small perturbations. Zbl 1428.34058
Li, Xuemei; Shang, Zaijiu
2019
A special family of stacked central configurations: Lagrange plus Euler in one. Zbl 1411.70012
Cornelio, J. Lino; Álvarez-Ramírez, M.; Cors, Josep M.
2019
Remarks on Schauder estimates and existence of classical solutions for a class of uniformly parabolic Hamilton-Jacobi-Bellman integro-PDEs. Zbl 1414.35253
Mou, Chenchen
2019
Entropy dissipation semi-discretization schemes for Fokker-Planck equations. Zbl 1416.65212
Chow, Shui-Nee; Dieci, Luca; Li, Wuchen; Zhou, Haomin
2019
Positively $$N$$-expansive homeomorphisms and the L-shadowing property. Zbl 1415.37013
Carvalho, Bernardo; Cordeiro, Welington
2019
Bifurcation to coherent structures in nonlocally coupled systems. Zbl 1420.35033
Scheel, Arnd; Tao, Tianyu
2019
Existence of positive periodic solutions for scalar delay differential equations with and without impulses. Zbl 1432.34087
Faria, Teresa; Oliveira, José J.
2019
A Sternberg theorem for nonautonomous differential equations. Zbl 1423.34039
Cuong, L. V.; Doan, T. S.; Siegmund, S.
2019
Exponential decay of the lengths of the spectral gaps for the extended Harper’s model with a Liouvillean frequency. Zbl 1433.37020
Shi, Yunfeng; Yuan, Xiaoping
2019
Attraction to equilibria in stage-structured predator prey models and bio-control problems. Zbl 1411.92256
Ruiz-Herrera, Alfonso
2019
Strongly exponentially separated linear systems. Zbl 1421.34009
Battelli, Flaviano; Palmer, Kenneth J.
2019
Uniform generators, symbolic extensions with an embedding, and structure of periodic orbits. Zbl 1427.37011
Burguet, David; Downarowicz, Tomasz
2019
Morse decompositions for delay-difference equations. Zbl 1414.39002
Garab, Ábel; Pötzsche, Christian
2019
A determining form for the subcritical surface quasi-geostrophic equation. Zbl 1420.35042
Jolly, Michael S.; Martinez, Vincent R.; Sadigov, Tural; Titi, Edriss S.
2019
Existence of pulses for the system of competition of species. Zbl 1419.35111
Marion, Martine; Volpert, Vitaly
2019
A generalization of Bochner’s theorem and its applications in the study of impulsive differential equations. Zbl 1427.42010
Qi, Liangping; Yuan, Rong
2019
Transition fronts of combustion reaction diffusion equations in $$\mathbb{R}^N$$. Zbl 1423.35161
Bu, Zhen-Hui; Guo, Hongjun; Wang, Zhi-Cheng
2019
Exponential stability tests for linear delayed differential systems depending on all delays. Zbl 1429.34074
Berezansky, Leonid; Diblík, Josef; Svoboda, Zdeněk; Šmarda, Zdeněk
2019
Global well-posedness and analytic smoothing effect for the dissipative nonlinear Schrödinger equations. Zbl 1427.35255
Hoshino, Gaku
2019
Approximating Lyapunov exponents and stationary measures. Zbl 1425.37037
Baraviera, Alexandre; Duarte, Pedro
2019
Periodic motions for FPU lattice systems with asymptotically quadratic potentials. Zbl 1410.37064
Sun, Jijiang; Ma, Shiwang
2019
KAM Tori for higher dimensional quintic beam equation. Zbl 1410.37063
Ge, Chuanfang; Geng, Jiansheng
2019
Multi-bump ground states of the fractional Gierer-Meinhardt system on the real line. Zbl 1411.35276
Wei, Juncheng; Yang, Wen
2019
A general result to the existence of a periodic solution to an indefinite equation with a weak singularity. Zbl 1447.34044
Godoy, José; Zamora, Manuel
2019
Rotating wave solutions to lattice dynamical systems I: the anti-continuum limit. Zbl 1465.37090
Bramburger, Jason J.
2019
Rotating wave solutions to lattice dynamical systems II: persistence results. Zbl 07047676
Bramburger, Jason J.
2019
Quasi-periodic solutions for a class of higher dimensional beam equation with quasi-periodic forcing. Zbl 1411.37062
Shi, Yanling; Xu, Junxiang; Xu, Xindong
2019
Instability of equilibrium solutions of Hamiltonian systems with $$n$$-degrees of freedom under the existence of multiple resonances and an application to the spatial satellite problem. Zbl 1415.37078
Cárcamo-Díaz, Daniela; Vidal, Claudio
2019
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#### Cited by 7,818 Authors

 96 Li, Wan-Tong 77 Llibre, Jaume 73 Zhao, Xiao-Qiang 72 Valls Anglés, Cláudia 65 Caraballo Garrido, Tomás 58 Barreira, Luis Manuel 58 Shen, Wenxian 56 Wu, Jianhong 52 Wang, Bixiang 49 Kloeden, Peter Eris 47 Ruan, Shigui 46 Zhou, Shengfan 44 Titi, Edriss Saleh 44 Zou, Xingfu 43 Obaya, Rafael 43 Valero, José 43 Wu, Shiliang 41 Duan, Jinqiao 40 Han, Maoan 39 Li, Yangrong 38 Wei, Junjie 37 Langa, Jose’ Antonio 36 Souza, Josiney A. 34 Hsu, Cheng-Hsiung 34 Wang, Zhi Cheng 33 Chueshov, Igor’ Dmitrievich 33 Lu, Kening 32 Wang, Mingxin 32 Yuan, Rong 30 Lin, Guo 30 Schmalfuß, Björn 30 Zhao, Caidi 29 Guo, Boling 29 Poláčik, Peter 29 Robinson, James Cooper 29 Xu, Junxiang 28 Grasselli, Maurizio 28 Shi, Junping 27 Foiaş, Ciprian Ilie 26 Guo, Shangjiang 26 Trofimchuk, Sergei I. 26 Zhu, Deming 25 Mireles-James, Jason D. 25 Nolasco de Carvalho, Alexandre 25 Van Vleck, Erik S. 25 Vidal, Claudio 25 Weng, Peixuan 24 Temam, Roger Meyer 24 Zelik, Sergey V. 23 Bates, Peter W. 23 Huang, Jianhua 23 Yu, Zhixian 22 Guo, Jong-Shenq 22 Lin, Zhigui 22 Núñez, Carmen A. 22 Real Anguas, José 22 Siegmund, Stefan 22 Song, Yongli 22 Wang, Feng-Bin 21 Hamel, François 21 Hupkes, Hermen Jan 21 Ou, Chunhua 20 Dragičević, Davor 20 Fiedler, Bernold 20 Gu, Anhui 20 Miranville, Alain M. 20 Sandstede, Björn 20 Scheel, Arnd 20 Xiao, Dongmei 20 Zhang, Xiang 19 Chen, Yuming 19 Ei, Shin-Ichiro 19 Ezzinbi, Khalil 19 Fečkan, Michal 19 Ha, Seung-Yeal 19 Jolly, Michael S. 19 Li, Xiong 19 Liu, Weishi 19 Liu, Yue 19 Shi, Haiping 19 Yanagida, Eiji 19 Yi, Yingfei 19 Zhao, Wenqiang 18 Gal, Ciprian Gheorghe Sorin 18 Hernández, Eduardo M. 18 Marín-Rubio, Pedro 18 Rasmussen, Martin 18 Rocha, Carlos 18 Zhang, Weinian 18 Zhong, Chengkui 17 de la Llave, Rafael 17 Dieci, Luca 17 Du, Yihong 17 Garrido-Atienza, María José 17 Han, Xiaoying 17 Kapustyan, Oleksiy V. 17 Kühn, Christian 17 Lessard, Jean-Philippe 17 Liu, Shengqiang 17 Liu, Xia ...and 7,718 more Authors
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#### Cited in 510 Journals

 846 Journal of Differential Equations 439 Journal of Mathematical Analysis and Applications 422 Journal of Dynamics and Differential Equations 288 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 258 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 251 Discrete and Continuous Dynamical Systems. Series B 219 Nonlinear Analysis. Real World Applications 209 Physica D 194 Discrete and Continuous Dynamical Systems 166 Applied Mathematics and Computation 125 Journal of Mathematical Physics 102 Journal of Mathematical Biology 98 Communications on Pure and Applied Analysis 91 Chaos, Solitons and Fractals 90 Nonlinearity 89 Journal of Difference Equations and Applications 86 Abstract and Applied Analysis 85 Journal of Nonlinear Science 84 SIAM Journal on Applied Dynamical Systems 83 Advances in Difference Equations 79 Computers & Mathematics with Applications 79 Proceedings of the American Mathematical Society 78 Transactions of the American Mathematical Society 78 Applied Mathematics Letters 76 Applicable Analysis 75 ZAMP. Zeitschrift für angewandte Mathematik und Physik 74 Stochastics and Dynamics 71 Mathematical Methods in the Applied Sciences 71 Nonlinear Dynamics 70 Bulletin of Mathematical Biology 66 Communications in Nonlinear Science and Numerical Simulation 63 Archive for Rational Mechanics and Analysis 63 SIAM Journal on Mathematical Analysis 63 Mathematical Biosciences and Engineering 62 Qualitative Theory of Dynamical Systems 60 Chaos 59 Communications in Mathematical Physics 59 Mathematical Biosciences 59 Dynamical Systems 54 International Journal of Biomathematics 51 Journal of Functional Analysis 49 Journal of Computational and Applied Mathematics 45 Ergodic Theory and Dynamical Systems 45 SIAM Journal on Applied Mathematics 45 Journal of Applied Analysis and Computation 44 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 43 Journal of Theoretical Biology 42 Calculus of Variations and Partial Differential Equations 42 Discrete and Continuous Dynamical Systems. Series S 40 Applied Mathematical Modelling 40 Discrete Dynamics in Nature and Society 38 Nonlinear Analysis. Theory, Methods & Applications 36 Journal de Mathématiques Pures et Appliquées. Neuvième Série 36 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 34 Journal of Evolution Equations 33 Journal of Biological Dynamics 32 Journal of Statistical Physics 32 Journal of Mathematical Fluid Mechanics 31 Annali di Matematica Pura ed Applicata. Serie Quarta 31 Communications in Partial Differential Equations 31 NoDEA. Nonlinear Differential Equations and Applications 31 Journal of Dynamical and Control Systems 31 Science China. Mathematics 30 Boundary Value Problems 29 Stochastic Analysis and Applications 29 Acta Mathematicae Applicatae Sinica. English Series 29 Regular and Chaotic Dynamics 28 Acta Applicandae Mathematicae 28 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 27 Acta Mathematica Sinica. English Series 26 Quarterly of Applied Mathematics 24 Mathematical and Computer Modelling 24 Japan Journal of Industrial and Applied Mathematics 24 Journal of Mathematical Sciences (New York) 23 Celestial Mechanics and Dynamical Astronomy 23 Bulletin des Sciences Mathématiques 22 Applied Mathematics and Mechanics. (English Edition) 21 Rocky Mountain Journal of Mathematics 21 Applied Mathematics and Optimization 21 Stochastic Processes and their Applications 20 Automatica 20 Complexity 18 Systems & Control Letters 18 Electronic Journal of Differential Equations (EJDE) 18 Comptes Rendus. Mathématique. Académie des Sciences, Paris 17 Journal of the Franklin Institute 17 Topology and its Applications 17 Journal of Biological Systems 17 Journal of Fixed Point Theory and Applications 16 Indagationes Mathematicae. New Series 16 Mathematical Problems in Engineering 16 Journal of Applied Mathematics 15 Journal of Computational Physics 15 Advances in Mathematics 15 Numerische Mathematik 15 European Journal of Applied Mathematics 15 Differential Equations and Dynamical Systems 15 Journal of Applied Mathematics and Computing 14 Numerical Functional Analysis and Optimization 14 Differential Equations ...and 410 more Journals
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#### Cited in 60 Fields

 4,089 Partial differential equations (35-XX) 2,893 Ordinary differential equations (34-XX) 2,884 Dynamical systems and ergodic theory (37-XX) 2,097 Biology and other natural sciences (92-XX) 672 Fluid mechanics (76-XX) 620 Probability theory and stochastic processes (60-XX) 415 Operator theory (47-XX) 402 Numerical analysis (65-XX) 380 Mechanics of particles and systems (70-XX) 335 Systems theory; control (93-XX) 258 Difference and functional equations (39-XX) 178 Mechanics of deformable solids (74-XX) 174 Global analysis, analysis on manifolds (58-XX) 149 Integral equations (45-XX) 137 Calculus of variations and optimal control; optimization (49-XX) 123 Statistical mechanics, structure of matter (82-XX) 87 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 84 General topology (54-XX) 70 Classical thermodynamics, heat transfer (80-XX) 63 Functional analysis (46-XX) 59 Measure and integration (28-XX) 58 Geophysics (86-XX) 56 Real functions (26-XX) 53 Computer science (68-XX) 50 Differential geometry (53-XX) 45 Operations research, mathematical programming (90-XX) 44 Quantum theory (81-XX) 38 Optics, electromagnetic theory (78-XX) 27 Combinatorics (05-XX) 27 Harmonic analysis on Euclidean spaces (42-XX) 27 Statistics (62-XX) 22 Linear and multilinear algebra; matrix theory (15-XX) 20 Manifolds and cell complexes (57-XX) 18 Topological groups, Lie groups (22-XX) 17 Functions of a complex variable (30-XX) 16 Algebraic topology (55-XX) 14 Relativity and gravitational theory (83-XX) 13 History and biography (01-XX) 13 Abstract harmonic analysis (43-XX) 13 Information and communication theory, circuits (94-XX) 10 Algebraic geometry (14-XX) 9 Number theory (11-XX) 9 Special functions (33-XX) 9 Approximations and expansions (41-XX) 8 Group theory and generalizations (20-XX) 8 Several complex variables and analytic spaces (32-XX) 8 Astronomy and astrophysics (85-XX) 7 General and overarching topics; collections (00-XX) 6 Integral transforms, operational calculus (44-XX) 5 Commutative algebra (13-XX) 4 Nonassociative rings and algebras (17-XX) 4 Potential theory (31-XX) 3 Associative rings and algebras (16-XX) 3 Convex and discrete geometry (52-XX) 2 Mathematical logic and foundations (03-XX) 2 Field theory and polynomials (12-XX) 2 Mathematics education (97-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Category theory; homological algebra (18-XX) 1 Sequences, series, summability (40-XX)