arXiv subjects
Publications and source records attributed to Michal Fečkan.
We derive Melnikov type conditions for the persistence of heteroclinic solutions in perturbed slowly varying discontinuous differential equations extending to these equations similar results for continuous differential equations.
In this paper, we investigate the existence and uniqueness of $(ω,ρ)$-periodic solutions for a class of the abstract impulsive integro-differential equations on Banach space.
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.