Analysis of period-doubling and chaos of a non-symmetric oscillator with piecewise-linearity

DOI10.1016/S0960-0779(00)00155-7zbMath0984.65134OpenAlexW2051027993MaRDI QIDQ5951003

No author found.

Publication date: 17 January 2002

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

Full work available at URL: https://doi.org/10.1016/s0960-0779(00)00155-7

zbMATH Keywords

stabilitychaosRunge-Kutta methodperiodic oscillationsPoincaré mapperiod-doublingChen-Langford methodlocal bifurcationLyapunov's exponentnon-symmetric oscillator with piecewise-linearity

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Numerical chaos (65P20) Computational methods for bifurcation problems in dynamical systems (37M20) Numerical bifurcation problems (65P30) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)

Related Items (4)

Approximate solutions and chaotic motions of a piecewise nonlinear-linear oscillator ⋮ Bifurcation and stability analysis with the role of normal form symmetries on the harmonic streamwise forced oscillation of the cylinder wake ⋮ MULTISTABILITY, BASIN BOUNDARY STRUCTURE, AND CHAOTIC BEHAVIOR IN A SUSPENSION BRIDGE MODEL ⋮ Fractal regularities of sub-harmonic motions perspective for pulse dynamics monitoring

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Analysis of bifurcation and chaos of tension-slack oscillator by Lyapunov exponent
• A period-doubling bifurcation for the Duffing equation
• Period Three Implies Chaos
• Deterministic Nonperiodic Flow
• Bifurcation Sets of Continuous Piecewise Linear Systems with Two Zones
• GEOMETRY AND ORDER OF CHAOS
• LIMIT CYCLE BIFURCATION FROM CENTER IN SYMMETRIC PIECEWISE-LINEAR SYSTEMS
• DIFFERENTIAL EQUATIONS WITH MULTISPIRAL ATTRACTORS

This page was built for publication: Analysis of period-doubling and chaos of a non-symmetric oscillator with piecewise-linearity