Development of concept of topological entropy for systems with multiple time

DOI10.1134/S0012266116130012zbMath1367.37016MaRDI QIDQ2358671

Mikhail Anikushin, Volker Reitmann

Publication date: 15 June 2017

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

zbMATH Keywords

topological entropysubshiftBowen's power rule

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Dynamical systems in control (37N35) Topological entropy (37B40)

Cites Work

• Invariance of Lyapunov exponents and Lyapunov dimension for regular and irregular linearizations
• Formulas for the Lyapunov dimension of attractors of the generalized Lorenz system
• The Lyapunov dimension and its estimation via the Leonov method
• Multitime controllability, observability and bang-bang principle
• Lyapunov's direct method in estimates of topological entropy
• Lyapunov dimension formula for the global attractor of the Lorenz system
• Criterion of infinite topological entropy for multidimensional cellular automata
• Entropy of multidimensional cellular automata
• Entropy and volume
• Topological Entropy
• An estimate from above for the entropy and the topological entropy of a $C^1$-diffeomorphism
• Entropy for Group Endomorphisms and Homogeneous Spaces
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