ROLES OF CHAOTIC SADDLE AND BASIN OF ATTRACTION IN BIFURCATION AND CRISIS ANALYSIS

DOI10.1142/S0218127411028830zbMath1215.34041OpenAlexW1964405153MaRDI QIDQ3010326

Tong Fang, Xiaole Yue, Bruno Rossetto, Wei Xu, Ying Zhang

Publication date: 30 June 2011

Published in: Unnamed Author (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127411028830

zbMATH Keywords

chaosbifurcationbasin of attractiontransient chaoschaotic saddlecrisis

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Complex behavior and chaotic systems of ordinary differential equations (34C28) Asymptotic properties of solutions to ordinary differential equations (34D05) Attractors of solutions to ordinary differential equations (34D45)

Related Items (1)

CYCLIC-FOLD BIFURCATION AND BOUNDARY CRISIS IN DYNAMIC WALKING OF BIPED ROBOTS

Cites Work

• Symmetry-breaking bifurcation analysis of stochastic van der Pol system via Chebyshev polynomial approximation
• Fractal basin boundaries
• Numerical simulations of periodic and chaotic responses in a stable Duffing system
• Explosions of chaotic sets
• Chaotic attractors, chaotic saddles, and fractal basin boundaries: Goodwin's nonlinear accelerator model reconsidered
• Chaos, Strange Attractors, and Fractal Basin Boundaries in Nonlinear Dynamics
• Chaos in Dynamical Systems
• Crises, sudden changes in chaotic attractors, and transient chaos
• TWO-DIMENSIONAL DYNAMICAL SYSTEMS WITH PERIODIC COEFFICIENTS
• ON THE ROLE OF CHAOTIC SADDLES IN GENERATING CHAOTIC DYNAMICS IN NONLINEAR DRIVEN OSCILLATORS

This page was built for publication: ROLES OF CHAOTIC SADDLE AND BASIN OF ATTRACTION IN BIFURCATION AND CRISIS ANALYSIS