Lyapunov Exponents, Sensitivity, and Stability for Non-Autonomous Discrete Systems

DOI10.1142/S0218127418500888zbMath1392.37025arXiv1603.05457OpenAlexW2962960330WikidataQ129559750 ScholiaQ129559750MaRDI QIDQ3176343

Hao Zhu, Yuming Shi, Hua Shao

Publication date: 20 July 2018

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.05457

zbMATH Keywords

Lyapunov exponentnon-autonomous discrete systemexponential asymptotical stabilitystrong sensitivity

Mathematics Subject Classification ID

Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical systems involving maps of the interval (37E05) Stability theory for smooth dynamical systems (37C75) Nonautonomous smooth dynamical systems (37C60)

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Cites Work

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• Lyapunov exponents and sensitive dependence
• Stability by Liapunov's direct method. With applications
• Sensitive dependence to initial conditions for one dimensional maps
• Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
• Continuity of the Lyapunov exponent for quasiperiodic operators with analytic potential
• On Lyapunov exponent and sensitivity.
• Chaotic properties of mappings on a probability space.
• Sensitivity of non-autonomous discrete dynamical systems
• Chaos of a sequence of maps in a metric space
• Devaney Chaos in Nonautonomous Discrete Systems
• RECENT DEVELOPMENTS IN DYNAMICAL SYSTEMS: THREE PERSPECTIVES
• Estimations of topological entropy for non-autonomous discrete systems
• TIME-VARYING LINEARIZATION AND THE PERRON EFFECTS
• Quantitative hyperbolicity estimates in one-dimensional dynamics
• Chaos of time-varying discrete dynamical systems
• On Devaney's Definition of Chaos
• Sensitive dependence on initial conditions
• CHAOS IN NONAUTONOMOUS DISCRETE DYNAMICAL SYSTEMS APPROACHED BY THEIR INDUCED SYSTEMS
• Strong Li–Yorke Chaos for Time-Varying Discrete Dynamical Systems with A-Coupled-Expansion
• A note on positive Lyapunov exponent and sensitive dependence on initial conditions

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