Replication of Li-Yorke Chaos Near a Homoclinic Orbit
  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. 
Marat Akhmet, Michal Fe\v{c}kan, Mehmet Onur Fen, Ardak Kashkynbayev
nlin.CD math.DS