Open AccessNon-smooth bifurcation analysis of Chen system via impulsive force
Author(s) -
Haibo Jiang,
Liping Zhang,
Chen Zhang-Yao,
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.61.080505
Subject(s) - bifurcation , floquet theory , chen , period doubling bifurcation , saddle node bifurcation , biological applications of bifurcation theory , physics , bifurcation theory , pitchfork bifurcation , control theory (sociology) , mathematical analysis , classical mechanics , mathematics , computer science , nonlinear system , quantum mechanics , paleontology , control (management) , artificial intelligence , biology
The complex dynamics of Chen system via impulsive force is investigated in this paper. The non-smooth bifurcation of Chen system via impulsive force is analyzed. The system can evolve to chaos by the cascading of period-doubling bifurcations. Besides, the system can evolve to chaos immediately by saddle-node bifurcations from period solutions. Finally, the Floquet theory is used to explore the non-smooth bifurcation mechanism for the periodic solutions.