DISCONTINUOUS BIFURCATIONS OF CHAOTIC ATTRACTORS IN FORCED OSCILLATORS BY GENERALIZED CELL MAPPING DIGRAPH (GCMD) METHOD

DOI10.1142/S0218127401002419zbMath1090.37559OpenAlexW2051761453MaRDI QIDQ5474177

Ling Hong, Jian-xue Xu

Publication date: 23 June 2006

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127401002419

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Dynamical aspects of attractors and their bifurcations (37G35) Computational methods for bifurcation problems in dynamical systems (37M20)

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Cites Work

• A method of point mapping under cell reference for global analysis of nonlinear dynamical systems
• Crises and chaotic transients studied by the generalized cell mapping digraph method
• AN ITERATIVE METHOD OF POINT MAPPING UNDER CELL REFERENCE FOR THE GLOBAL ANALYSIS OF NON-LINEAR DYNAMICAL SYSTEMS
• A higher order method of interpolated cell mapping
• GLOBAL ANALYSIS BY CELL MAPPING
• GLOBAL ANALYSIS OF DYNAMICAL SYSTEMS USING POSETS AND DIGRAPHS