Shilnikov bifurcation: Stationary Quasi-Reversal bifurcation
نویسندگان
چکیده
A generic stationary instability that arise in quasi-reversible systems is studying, which is characterized by the confluence of three eigenvalues at the origin of complex plane with only one eigenfunction. We characterize the unified description of this bifurcation and the dynamics exhibits by this model. In particular, the chaotic behavior—homoclinic Shilnikov chaos—exhibits by this model. A simple mechanical system—Shilnikov particle—that exhibits this quasi-reversal instability is proposed and it displays this chaotic behavior.
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ورودعنوان ژورنال:
- I. J. Bifurcation and Chaos
دوره 18 شماره
صفحات -
تاریخ انتشار 2008