Title of article
CHAOTIC BEHAVIOR IN THE FAMILY OF LORENZ SYSTEM
Author/Authors
ASHYANI ، AKRAM - University of Birjand , MOHAMMADINEJAD ، HAJIMOHAMMAD - University of Birjand , RABIEIMOTLAGH ، OMID - University of Birjand
Pages
12
From page
234
To page
245
Abstract
In this paper we consider a system of Lorenz family which is more general than the unified system containing Lorenz, Chen and Lu systems. We apply the center manifold method and show that the system can pass through pitchfork and Hopf bifurcations which in turn take the system into a chaotic behavior.
Keywords
Lorenz unified system , center manifold , Pitchfork bifurcation , Hopf bifurcation
Journal title
Journal of Advanced Mathematical Studies
Serial Year
2015
Journal title
Journal of Advanced Mathematical Studies
Record number
2477799
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