A chaotic crisis between chaotic saddle and attractor in forced Duffing oscillators.

DOI10.1016/S1007-5704(02)00107-7zbMath1046.34071OpenAlexW1974651837MaRDI QIDQ1428076

Ling Hong, Jian-xue Xu

Publication date: 14 March 2004

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1007-5704(02)00107-7

zbMATH Keywords

Global analysisChaotic saddleCrisisFractal basin boundaryGeneralized cell mapping system

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (5)

Global analysis of boundary and interior crises in an elastic impact oscillator ⋮ Rare and hidden attractors in a periodically forced Duffing system with absolute nonlinearity ⋮ Studying the Global Bifurcation Involving Wada Boundary Metamorphosis by a Method of Generalized Cell Mapping with Sampling-Adaptive Interpolation ⋮ Quantization effects on period doubling route to chaos in a ZAD-controlled buck converter ⋮ First-passage time statistics in a bistable system subject to Poisson white noise by the generalized cell mapping method

Cites Work

• A chaotic blue sky catastrophe in forced relaxation oscillations
• Cell-to-cell mapping. A method of global analysis for nonlinear systems
• An adaptive method for the approximation of the generalized cell mapping
• Crises and chaotic transients studied by the generalized cell mapping digraph method
• Control of an adaptive refinement technique of generalized cell mapping by system dynamics
• GLOBAL ANALYSIS BY CELL MAPPING
• GLOBAL ANALYSIS OF DYNAMICAL SYSTEMS USING POSETS AND DIGRAPHS
• Crises, sudden changes in chaotic attractors, and transient chaos
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