Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10727014 | Physics Letters A | 2012 | 7 Pages |
Abstract
⺠We consider a nonsmooth map which is noninvertible. ⺠We report a new route to chaos from a resonance loop torus which is not homeomorphic to a circle but only endomorphic to it. ⺠The destruction of the torus occurs through homoclinic bifurcation in the presence of an infinite number of nonsmooth loops. ⺠The stable sets can bifurcate to form nonsmooth closed loops. ⺠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)
Authors
Soma De, Partha Sharathi Dutta, Soumitro Banerjee,