The matric algorithm of Lyapunov exponent for the experimental data obtained in dynamic analysis

DOI10.1007/BF02459061zbMath0984.37105MaRDI QIDQ1969927

Junhai Ma, Zeng-Rong Liu, Yu-Shu Chen

Publication date: 1 May 2002

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

Lyapunov exponentsmatrix algorithmtrajectory algorithm

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)

Related Items

Study on prediction methods for dynamic systems of nonlinear chaotic time series ⋮ The inherent complexity in nonlinear business cycle model in resonance ⋮ Analysis and applied study of dynamic characteristics of chaotic repeller in complicated system ⋮ A study on the complexity of a business cycle model with great excitements in non-resonant condition

Cites Work

• Determining Lyapunov exponents from a time series
• An algorithm for the \(n\) Lyapunov exponents of an \(n\)-dimensional unknown dynamical system
• Remark on metric analysis of reconstructed dynamics from chaotic time series