Replication of Li-Yorke Chaos Near a Homoclinic Orbit
arXiv:1602.08634
Abstract
We prove the presence of chaos near a homoclinic orbit in the modified Li-Yorke sense [10] by implementing chaotic perturbations. A Duffing oscillator is considered to show the effectiveness of our technique, and simulations that support the theoretical results are depicted. Ott-Grebogi-Yorke and Pyragas control methods are used to stabilize almost periodic motions.
23 pages, 5 figures