Bifurcation Analysis and Chaos Control in Genesio System with Delayed Feedback. (8th February 2012)

• Record Type: Journal Article
• Authors: Guan, Junbiao
• Other Names: Minces P. Academic Editor.
• Is Part Of: ISRN mathematical physics. Volume 2012(2012)
• Publication Date: 2012-02-08
• Subjects: Mathematical physics -- Periodicals; Mathematical physics; Electronic journals; Periodicals; 530.15
• DOI: 10.5402/2012/843962
• Languages: English
• ISSNs: 2090-4673

Abstract

Abstract : We investigate the local Hopf bifurcation in Genesio system with delayed feedback control. We choose the delay as the parameter, and the occurrence of local Hopf bifurcations 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 bifurcated periodic solutions. Numerical simulations indicate that delayed feedback control plays an effective role in control of chaos.