A concept of local metric entropy for finite-time nonautonomous dynamical systems

DOI10.1080/10236198.2016.1267154zbMath1387.37008arXiv1401.6664OpenAlexW2962752321MaRDI QIDQ5374268

Stefan Siegmund, Luu Hoang Duc

Publication date: 10 April 2018

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.6664

zbMATH Keywords

finite-time Lyapunov exponentstransient behaviourPesin's formulafinite-time metric entropytransient dynamical systems

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Entropy in general topology (54C70) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)

Cites Work

• Globally asymptotic properties of proliferating cell populations
• Entropy formula for endomorphisms: relations between entropy, exponents and dimension
• On the gap between random dynamical systems and continuous skew products
• Finite-time entropy: a probabilistic approach for measuring nonlinear stretching
• CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
• Transport in time-dependent dynamical systems: Finite-time coherent sets
• Entropy for Group Endomorphisms and Homogeneous Spaces
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