Topological dynamics for multidimensional perturbations of maps with covering relations and Liapunov condition

DOI10.1016/J.JDE.2010.06.019zbMath1211.37016OpenAlexW1993047405MaRDI QIDQ619869

Ming-Chia Li, Ming-Jiea Lyu

Publication date: 18 January 2011

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2010.06.019

zbMATH Keywords

topological dynamicscovering relationmultidimensional perturbationLiapunov condition

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25)

Related Items (4)

Topological conjugacy for Lipschitz perturbations of non-autonomous systems ⋮ Covering relations and Lyapunov condition for topological conjugacy ⋮ Covering relations for coupled map networks ⋮ Stability of symbolic embeddings for difference equations and their multidimensional perturbations

Cites Work

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• Covering relations for multidimensional dynamical systems
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• Chaotic phenomena in three settings: large, noisy and out of equilibrium
• Topological entropy for multidimensional perturbations of snap-back repellers and one-dimensional maps
• Computer assisted proof of chaos in the Rössler equations and in the Hénon map
• TOPOLOGICAL ENTROPY FOR MULTIDIMENSIONAL PERTURBATIONS OF ONE-DIMENSIONAL MAPS
• Topological horseshoes for perturbations of singular difference equations

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