Bifurcation analysis of slow-fast behavior in modified Chua's circuit | Zendy

Ying Ji | Zendy; Bi Qin-Sheng | Zendy

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Bifurcation analysis of slow-fast behavior in modified Chua's circuit

Author(s) -

Ying Ji,

Bi Qin-Sheng

Publication year - 2012

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.61.010202

Subject(s) - bursting , bifurcation , chaotic , chua's circuit , control theory (sociology) , physics , computer science , mechanics , statistical physics , nonlinear system , artificial intelligence , neuroscience , control (management) , quantum mechanics , biology

The dynamics of four-order modified Chua's circuit with slow-fast effect has been investigated in this letter. Different types of bursting phenomena can be observed in numerical simulations. By introducing slow-fast analysis, the bifurcation mechanism for the periodic bursting solutions, especially for Fold/Fold bursting and Fold/Hopf bursting, is presented, which is different from the usual case. With the variation of the parameter, the periodic bursting can evolve to chaotic bursting.

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