On Taylor series expansion for chaotic nonlinear systems

DOI10.1016/S0960-0779(01)00191-6zbMath0999.65145WikidataQ128090003 ScholiaQ128090003MaRDI QIDQ1609987

Hendrik Richter, Gunter Stein

Publication date: 20 August 2002

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

zbMATH Keywords

numerical resultsLyapunov exponentsTaylor series expansionchaotic nonlinear systems

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Numerical chaos (65P20) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)

Related Items (1)

Stochastic stability of four-wheel-steering system

Cites Work

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• The Lyapunov dimension of strange attractors
• The calculation of Lyapunov spectra
• Taylor series approximations to Julia set scaling functions
• Center manifold approach to controlling chaos
• Comparison of Different Methods for Computing Lyapunov Exponents
• THE DYNAMICS OF RUNGE–KUTTA METHODS
• Local Control of Chaotic Systems — A Lyapunov Approach

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