Numerical Analysis and Improved Algorithms for Lyapunov-Exponent Calculation of Discrete-Time Chaotic Systems

DOI10.1142/S0218127416502199zbMath1354.37081OpenAlexW2563581845MaRDI QIDQ2957302

Jianbin He, Jianping Cai, Simin Yu

Publication date: 26 January 2017

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

Full work available at URL: https://doi.org/10.1142/s0218127416502199

zbMATH Keywords

Lyapunov exponenteigenvalue methoddiscrete-time chaotic systemQR orthogonal decompositionSVD orthogonal decomposition

Mathematics Subject Classification ID

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) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (4)

Simple estimation method for the second-largest Lyapunov exponent of chaotic differential equations ⋮ Computation of the largest positive Lyapunov exponent using rounding mode and recursive least square algorithm ⋮ QMLE of periodic bilinear models and of PARMA models with periodic bilinear innovations ⋮ Dynamical behaviors of Bazykin-Berezovskaya model with fractional-order and its discretization

Cites Work

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• SVD algorithms to approximate spectra of dynamical systems
• Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
• On the Compuation of Lyapunov Exponents for Continuous Dynamical Systems
• FEEDBACK CONTROL OF LYAPUNOV EXPONENTS FOR DISCRETE-TIME DYNAMICAL SYSTEMS
• Ergodic theory of chaos and strange attractors
• Feedback Anticontrol of Discrete Chaos

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