NDLI: Hopf bifurcation analysis and control of a new Lorenz-like system

Content Provider	IEEE Xplore Digital Library
Author	Zhang Zhonghua
Copyright Year	2014
Description	Author affiliation: Coll. of Sci., Northeast Dianli Univ., Jilin, China (Zhang Zhonghua)
Abstract	This paper is concerned with Hopf bifurcation behavior and bifurcation control of a new Lorenz-like system. Firstly, Hopf bifurcation type is studied based on the bifurcation stability norm, furthermore bifurcation period and characteristic exponent of system are given. Then the linear controller and the non-linear controller are applied to control the Hopf bifurcation of original system respectively. For linear control, the Routh-Hurwitz criterion is adopted to give parameter conditions making Hopf bifurcation dissapear; For non-linear control, the Hopf bifurcation Normal Form of controlled system is obtained by using the direct Normal Form method, besides, according to coefficient of Normal Form, the impact of selection criteria of non-linear parameter on amplitude of limit cycle and Hopf bifurcation type are discussed, discussions show that when the non-linear parameter satisfies certain condition, bifurcation type of original system will be changed, and the periodic solution amplitude will be changed with the parameter. Finally, theoretical results are verified by numerical simulations.
Starting Page	1597
Ending Page	1601
File Size	224452
Page Count	5
File Format	PDF
ISBN	9781479937073
e-ISBN	9781479937080
DOI	10.1109/CCDC.2014.6852422
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-05-31
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Decision support systems Normal Form bifurcation control Hopf bifurcation Lorenz-like system
Content Type	Text
Resource Type	Article

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