Please use this identifier to cite or link to this item: https://doi.org/10.1142/S0218127406014617
Title: Delay feedback control for interaction of hopf and period doubling bifurcations in discrete-time systems
Authors: Wen, G. 
Wang, Q.-G. 
Chiu, M.-S. 
Keywords: Bifurcation control
Delay feedback
Discrete-time system
Hopf-flip bifurcation
Interaction of Hopf and period doubling bifurcations
Issue Date: Jan-2006
Source: Wen, G., Wang, Q.-G., Chiu, M.-S. (2006-01). Delay feedback control for interaction of hopf and period doubling bifurcations in discrete-time systems. International Journal of Bifurcation and Chaos 16 (1) : 101-112. ScholarBank@NUS Repository. https://doi.org/10.1142/S0218127406014617
Abstract: Interaction of Hopf and period doubling bifurcations, as a so-called codimension two singularity, may give rise to rich bifurcation outcomes depending on the two-parameter unfolding at the bifurcation point. In this paper, we develop a nonlinear delay control for interaction of Hopf and period doubling bifurcations at a desired parameter location with preferred bifurcation properties. For its linear control term, the gains are determined by the bifurcation critical conditions and are used to create this type of bifurcations at a desired parameter location. For its nonlinear control term, the gains are derived by the center manifold theorem and theory of normal form. They determine the type and stability of bifurcation solutions. The proposed control method is applicable to any uncontrolled system which can be stable, unstable or even chaotic. Numerical experiments verify the feasibility of the control methodology and clearly show easy manipulation of all kinds of possible solutions of the created bifurcation. © World Scientific Publishing Company.
Source Title: International Journal of Bifurcation and Chaos
URI: http://scholarbank.nus.edu.sg/handle/10635/55514
ISSN: 02181274
DOI: 10.1142/S0218127406014617
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

SCOPUSTM   
Citations

3
checked on Dec 13, 2017

WEB OF SCIENCETM
Citations

3
checked on Nov 15, 2017

Page view(s)

38
checked on Dec 16, 2017

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.