Article ID Journal Published Year Pages File Type
10727014 Physics Letters A 2012 7 Pages PDF
Abstract
► We consider a nonsmooth map which is noninvertible. ► We report a new route to chaos from a resonance loop torus which is not homeomorphic to a circle but only endomorphic to it. ► The destruction of the torus occurs through homoclinic bifurcation in the presence of an infinite number of nonsmooth loops. ► The stable sets can bifurcate to form nonsmooth closed loops. ► The bifurcation of the stable sets cannot be interpreted directly as bifurcation of the basin of attraction.
Related Topics
Physical Sciences and Engineering Physics and Astronomy Physics and Astronomy (General)
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