Bifurcation Analysis and Chaos Control in Genesio System with Delayed Feedback | Zendy

Junbiao Guan | Zendy

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Bifurcation Analysis and Chaos Control in Genesio System with Delayed Feedback

Author(s) -

Junbiao Guan

Publication year - 2012

Publication title -

isrn mathematical analysis

Language(s) - English

Resource type - Journals

eISSN - 2090-4665

pISSN - 2090-4657

DOI - 10.5402/2012/843962

Subject(s) - center manifold , hopf bifurcation , mathematics , bifurcation , control theory (sociology) , chaos (operating system) , feedback control , control of chaos , stability (learning theory) , period doubling bifurcation , control (management) , mathematical analysis , computer science , physics , synchronization of chaos , nonlinear system , artificial intelligence , engineering , computer security , quantum mechanics , control engineering , machine learning

We investigate the local Hopf bifurcation in Genesio system with delayedfeedback control. We choose the delay as the parameter, and the occurrence of local Hopfbifurcations are verified. By using the normal form theory and the center manifold theorem,we obtain the explicit formulae for determining the stability and direction of bifurcatedperiodic solutions. Numerical simulations indicate that delayed feedback control plays aneffective role in control of chaos.

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