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Asymptotic equilibrium inducing metastable chaos
Hai Wenhua 1 * #,Li Zejun 2
1.Department of Physics, Hunan Normal University
2.Department of Physics, Hunan Normal University, Changsha 410081
*Correspondence author
#Submitted by
Subject:
Funding: the SRFDPHE（No.No. 200805420002）, This work was supported by the NNSF of China（No.no. 10875039）
Opened online:13 June 2011
Accepted by: none
Citation: Hai Wenhua,Li Zejun.Asymptotic equilibrium inducing metastable chaos[OL]. [13 June 2011] http://en.paper.edu.cn/en_releasepaper/content/4431662
 
 
It is shown that the asymptotic equilibrium solutions (AES) of a nonlinear equation of motion possess conditional stability. The conditions for controlling instability are derived from a direct perturbation method. Theoretical analysis reveals that the controlling conditions contain Melnikov criterion for the onset of chaos and lead to sensitive dependence of the system on initial conditions and physical parameters. This implies that there exists metastable chaos in the system. Some examples, such as the Duffing oscillator, the rf-driven Josephson junction and other systems, are used to demonstrate the conclusion.
Keywords:Metastability; Melnikov chaos criterion; Controlling instability
 
 
 

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