Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1893303 | Chaos, Solitons & Fractals | 2009 | 13 Pages |
Abstract
The bifurcations of 2-point heterodimensional cycles are investigated in this paper. Under some generic conditions, we establish the existence of one homoclinic loop, one periodic orbit, two periodic orbits, one 2-fold periodic orbit, and the coexistence of one periodic orbit and heteroclinic loop. Some bifurcation patterns different to the case of non-heterodimensional heteroclinic cycles are revealed.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Fengjie Geng, Deming Zhu, Yancong Xu,