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Some advances on global analysis of nonlinear systems

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  • Xu, Jianxue

Abstract

Global analysis in nonlinear dynamics means the study of attractors and their basins of attraction; meanwhile a lot of complex dynamical behaviors and new phenomena are concerned such as fractal basin boundary, Wada basin boundary, infinite unstable periodic orbits embedded in chaotic attractor, chaotic saddle and transient chaos, crises, riddled basin of attractor, stochastic global dynamics, etc.

Suggested Citation

  • Xu, Jianxue, 2009. "Some advances on global analysis of nonlinear systems," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1839-1848.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:4:p:1839-1848
    DOI: 10.1016/j.chaos.2007.06.086
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    Cited by:

    1. Zarouan, Mohamed & Allali, Sofiène & Benrejeb, Mohamed, 2009. "Correlation between the bifurcation diagram structure and the predominant harmonics of an electrical power network response," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 483-491.
    2. Ebrahimi, Reza, 2022. "Chaos in coupled lateral-longitudinal vibration of electrostatically actuated microresonators," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).

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