Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
842225 | Nonlinear Analysis: Theory, Methods & Applications | 2009 | 11 Pages |
Abstract
The persistence of degenerate homoclinic orbit is considered for parabolic functional differential equations with small periodic perturbations. Bifurcation functions constructed between two finite-dimensional spaces are obtained. The zeros of the function correspond to the existence of the homoclinic orbit for the perturbed systems. Some applicable conditions are given to ensure that the functions are solvable. Moreover, We show that the homoclinic solution for the perturbed system is transversal and hence the perturbed system exhibits chaos.
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Authors
Guangping Luo, Changrong Zhu,