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Nonlinear stability of solitary waves for a 2d BenneyLuke equation
Multidimensional dynamical systems and Benford's Law
1.  Department of Mathematics and Statistics, University of Canterbury, Christchurch, New Zealand 
[1] 
Lianfa He, Hongwen Zheng, Yujun Zhu. Shadowing in random dynamical systems. Discrete and Continuous Dynamical Systems, 2005, 12 (2) : 355362. doi: 10.3934/dcds.2005.12.355 
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Jonathan Meddaugh. Shadowing as a structural property of the space of dynamical systems. Discrete and Continuous Dynamical Systems, 2022, 42 (5) : 24392451. doi: 10.3934/dcds.2021197 
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Noriaki Kawaguchi. Topological stability and shadowing of zerodimensional dynamical systems. Discrete and Continuous Dynamical Systems, 2019, 39 (5) : 27432761. doi: 10.3934/dcds.2019115 
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P.E. Kloeden, Desheng Li, Chengkui Zhong. Uniform attractors of periodic and asymptotically periodic dynamical systems. Discrete and Continuous Dynamical Systems, 2005, 12 (2) : 213232. doi: 10.3934/dcds.2005.12.213 
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Tohru Nakamura, Shuichi Kawashima. Viscous shock profile and singular limit for hyperbolic systems with Cattaneo's law. Kinetic and Related Models, 2018, 11 (4) : 795819. doi: 10.3934/krm.2018032 
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Pedro Roberto de Lima, Hugo D. Fernández Sare. General condition for exponential stability of thermoelastic Bresse systems with Cattaneo's law. Communications on Pure and Applied Analysis, 2020, 19 (7) : 35753596. doi: 10.3934/cpaa.2020156 
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Nicolai Haydn, Sandro Vaienti. The limiting distribution and error terms for return times of dynamical systems. Discrete and Continuous Dynamical Systems, 2004, 10 (3) : 589616. doi: 10.3934/dcds.2004.10.589 
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Tomás Caraballo, David Cheban. On the structure of the global attractor for nonautonomous dynamical systems with weak convergence. Communications on Pure and Applied Analysis, 2012, 11 (2) : 809828. doi: 10.3934/cpaa.2012.11.809 
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Keonhee Lee, Kazumine Moriyasu, Kazuhiro Sakai. $C^1$stable shadowing diffeomorphisms. Discrete and Continuous Dynamical Systems, 2008, 22 (3) : 683697. doi: 10.3934/dcds.2008.22.683 
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Paul L. Salceanu. Robust uniform persistence in discrete and continuous dynamical systems using Lyapunov exponents. Mathematical Biosciences & Engineering, 2011, 8 (3) : 807825. doi: 10.3934/mbe.2011.8.807 
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Xinyuan Liao, Caidi Zhao, Shengfan Zhou. Compact uniform attractors for dissipative nonautonomous lattice dynamical systems. Communications on Pure and Applied Analysis, 2007, 6 (4) : 10871111. doi: 10.3934/cpaa.2007.6.1087 
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Caidi Zhao, Shengfan Zhou. Compact uniform attractors for dissipative lattice dynamical systems with delays. Discrete and Continuous Dynamical Systems, 2008, 21 (2) : 643663. doi: 10.3934/dcds.2008.21.643 
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Michael Zgurovsky, Mark Gluzman, Nataliia Gorban, Pavlo Kasyanov, Liliia Paliichuk, Olha Khomenko. Uniform global attractors for nonautonomous dissipative dynamical systems. Discrete and Continuous Dynamical Systems  B, 2017, 22 (5) : 20532065. doi: 10.3934/dcdsb.2017120 
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Giovanni Forni, Howard Masur, John Smillie. Bill Veech's contributions to dynamical systems. Journal of Modern Dynamics, 2019, 14: vxxv. doi: 10.3934/jmd.2019v 
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Alicia Cordero, José Martínez Alfaro, Pura Vindel. Bott integrable Hamiltonian systems on $S^{2}\times S^{1}$. Discrete and Continuous Dynamical Systems, 2008, 22 (3) : 587604. doi: 10.3934/dcds.2008.22.587 
[17] 
Adolfo Damiano Cafaro, Simone Fiori. Optimization of a control law to synchronize firstorder dynamical systems on Riemannian manifolds by a transverse component. Discrete and Continuous Dynamical Systems  B, 2022, 27 (7) : 39473969. doi: 10.3934/dcdsb.2021213 
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Flavio Abdenur, Lorenzo J. Díaz. Pseudoorbit shadowing in the $C^1$ topology. Discrete and Continuous Dynamical Systems, 2007, 17 (2) : 223245. doi: 10.3934/dcds.2007.17.223 
[19] 
Nicolai T. A. Haydn, Kasia Wasilewska. Limiting distribution and error terms for the number of visits to balls in nonuniformly hyperbolic dynamical systems. Discrete and Continuous Dynamical Systems, 2016, 36 (5) : 25852611. doi: 10.3934/dcds.2016.36.2585 
[20] 
H. M. Hastings, S. Silberger, M. T. Weiss, Y. Wu. A twisted tensor product on symbolic dynamical systems and the Ashley's problem. Discrete and Continuous Dynamical Systems, 2003, 9 (3) : 549558. doi: 10.3934/dcds.2003.9.549 
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