Open AccessBifurcation analysis of slow-fast behavior in modified Chua's circuit
Author(s) -
Ying Ji,
Qinsheng Bi
Publication year - 2012
Publication title -
wuli xuebao
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.