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   chaotic behavior in the family of lorenz system  
   
نویسنده ashyani akram ,mohammadinejad hajimohammad ,rabieimotlagh omid
منبع journal of advanced mathematical studies - 2015 - دوره : 8 - شماره : 2 - صفحه:234 -245
چکیده    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.
کلیدواژه lorenz unified system ,center manifold ,pitchfork bifurcation ,hopf bifurcation
آدرس university of birjand, faculty of science, department of mathematics, ایران, university of birjand, faculty of science, department of mathematics, ایران, university of birjand, faculty of science, department of mathematics, ایران
پست الکترونیکی orabieimotlagh@birjand.ac.ir
 
     
   
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