Lyapunov exponents and coexistence of attractors in vibro-impact systems with symmetric two-sided rigid constraints

DOI10.1016/j.physleta.2009.04.009zbMath1229.74063OpenAlexW1967170402MaRDI QIDQ653150

Yuan Yue, Jian-Hua Xie

Publication date: 6 January 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2009.04.009

zbMATH Keywords

Lyapunov exponentvibro-impactcoexistence of attractor

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Vibrations in dynamical problems in solid mechanics (74H45) Stability of dynamical problems in solid mechanics (74H55) Impact in solid mechanics (74M20) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)

Related Items (4)

Coexistence of strange nonchaotic attractors and a special mixed attractor caused by a new intermittency in a periodically driven vibro-impact system ⋮ Determining Lyapunov spectrum and Lyapunov dimension based on the Poincaré map in a vibro-impact system ⋮ Multistability of a three-degree-of-freedom vibro-impact system ⋮ CAPTURING THE SYMMETRY OF ATTRACTORS AND THE TRANSITION TO SYMMETRIC CHAOS IN A VIBRO-IMPACT SYSTEM

Cites Work

• Unnamed Item
• Unnamed Item
• Calculation of Lyapunov exponents for dynamic systems with discontinuities.
• Hopf bifurcations and chaos of a two-degree-of-freedom vibro-impact system in two strong resonance cases
• Stability analysis and Lyapunov exponents of a multi-body mechanical system with rigid unilateral constraints
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Determining Lyapunov exponents from a time series
• Calculation of Lyapunov exponents in systems with impacts
• Estimation of the largest Lyapunov exponent in systems with impacts
• A method for calculating the spectrum of Lyapunov exponents by local maps in non-smooth impact-vibrating systems
• The dynamics of repeated impacts with a sinusoidally vibrating table
• Ergodic theory of chaos and strange attractors

This page was built for publication: Lyapunov exponents and coexistence of attractors in vibro-impact systems with symmetric two-sided rigid constraints