QUANTIFYING LOCAL INSTABILITY AND PREDICTABILITY OF CHAOTIC DYNAMICAL SYSTEMS BY MEANS OF LOCAL METRIC ENTROPY

DOI10.1142/S0218127400000086zbMath1090.37533WikidataQ129444441 ScholiaQ129444441MaRDI QIDQ5474057

Mo-Zheng Wei

Publication date: 23 June 2006

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

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)

Cites Work

• The Lyapunov dimension of strange attractors
• Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
• A Numerical Approach to Ergodic Problem of Dissipative Dynamical Systems
• Short-time Lyapunov exponent analysis and the transition to chaos in Taylor–Couette flow
• CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
• Ergodic theory of chaos and strange attractors
• Deterministic Nonperiodic Flow
• Predictability in two-dimensional decaying turbulence

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