Non-smooth bifurcation analysis of Chen system via impulsive force | Zendy

Haibo Jiang | Zendy; Liping Zhang | Zendy; Chen Zhang-Yao | Zendy; Bi Qin-Sheng | Zendy

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Non-smooth bifurcation analysis of Chen system via impulsive force

Author(s) -

Haibo Jiang,

Liping Zhang,

Chen Zhang-Yao,

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.61.080505

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.

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