Open AccessBursting phenomenon and the bifurcation mechanism in generalized Chua’s circuit
Author(s) -
Chen Zhang-Yao,
Xiaofang Zhang,
Qinsheng Bi
Publication year - 2010
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.59.2326
Subject(s) - bursting , bifurcation , chua's circuit , hopf bifurcation , capacitance , physics , control theory (sociology) , bifurcation theory , inductance , saddle node bifurcation , mathematical analysis , mathematics , electronic circuit , computer science , voltage , quantum mechanics , nonlinear system , control (management) , electrode , neuroscience , artificial intelligence , biology
By introducing the electrical controlling circuit composed of inductance and capacitance, a fourth order model of generalized Chuas circuit with fast-slow effect has been established for certain parameter conditions. The conditions for fold bifurcation as well as Hopf bifurcation of the fast subsystem are investigated with the variation of the slow variable. Furthermore, the dynamical evolution of the entire system is explored, in which the fast-slow effect existing in the system is focused. Two types of bursting phenomenon, namely, the symmetric fold/fold and fold/Hopf periodic bursters, as well as their mechanism, are presented, which discloses the difference between the two burstings from the view point of bifurcation.