On sufficient conditions for chaotic behavior of multidimensional discrete time dynamical system

DOI10.1007/S40840-021-01110-1zbMath1477.37016OpenAlexW3149774269MaRDI QIDQ2049016

Nor Syahmina Kamarudin, Syahida Che Dzul-Kifli

Publication date: 24 August 2021

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-021-01110-1

zbMATH Keywords

\(\mathbb{Z}^d\)-action\(k\)-type Devaney chaos\(k\)-type transitivedense \(k\)-type periodic points

Mathematics Subject Classification ID

Topological entropy (37B40) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Cites Work

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• Chain recurrence in multidimensional time discrete dynamical systems
• On properties of expansive group actions
• On collective sensitivity for -actions
• On Devaney's Definition of Chaos
• SPECTRAL DECOMPOSITION OF k-TYPE NONWANDERING SETS FOR ℤ²-ACTIONS

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