METASTABILITY, LYAPUNOV EXPONENTS, ESCAPE RATES, AND TOPOLOGICAL ENTROPY IN RANDOM DYNAMICAL SYSTEMS

DOI10.1142/S0219493713500044zbMath1417.37185arXiv1106.1954OpenAlexW2124342803WikidataQ59139575 ScholiaQ59139575MaRDI QIDQ2862999

Gary Froyland, Ognjen Stancevic

Publication date: 20 November 2013

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.1954

zbMATH Keywords

Perron-Frobenius operatortopological entropyLyapunov exponentrandom dynamical systemopen dynamical systemescape ratealmost-invariant set

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Topological entropy (37B40) General theory of random and stochastic dynamical systems (37H05)

Related Items (12)

Unnamed Item ⋮ A spectral approach for quenched limit theorems for random expanding dynamical systems ⋮ Lyapunov exponents for transfer operator cocycles of metastable maps: A quarantine approach ⋮ On the norm equivalence of Lyapunov exponents for regularizing linear evolution equations ⋮ Invariance entropy for random control systems ⋮ Metric entropy of nonautonomous dynamical systems ⋮ Topological and measure-theoretical entropies of nonautonomous dynamical systems ⋮ Metric entropy of nonautonomous dynamical systems ⋮ Stability and collapse of the Lyapunov spectrum for Perron-Frobenius operator cocycles ⋮ Computation and Optimal Perturbation of Finite-Time Coherent Sets for Aperiodic Flows Without Trajectory Integration ⋮ Estimating long-term behavior of periodically driven flows without trajectory integration ⋮ Pseudo-orbits, stationary measures and metastability

Cites Work

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• Ergodic properties of invariant measures for piecewise monotonic transformations
• Escape rates and Perron-Frobenius operators: open and closed dynamical systems
• Coherent structures and isolated spectrum for Perron–Frobenius cocycles
• On the Approximation of Complicated Dynamical Behavior
• On the isolated spectrum of the Perron-Frobenius operator
• Ruelle's transfer operator for random subshifts of finite type
• Transport in time-dependent dynamical systems: Finite-time coherent sets
• TRANSPORT IN DYNAMICAL ASTRONOMY AND MULTIBODY PROBLEMS

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