Mathematical Problems in Engineering 
Volume 2006 (2006), Article ID 85349, 13 pages
doi:10.1155/MPE/2006/85349

Bifurcations of planar sliding homoclinics

Jan Awrejcewicz,1 Michal Fečkan,2 and Pawel Olejnik1

 1Department of Automatics and Biomechanics, Technical University of Lodz, 1/15 Stefanowski Street, Lodz 90-924, Poland
2Department of Mathematical Analysis and Numerical Mathematics, Comenius University, Mlynská dolina, Bratislava 842 48, Slovakia
Received 31 August 2005; Accepted 11 September 2005

Abstract

We study bifurcations from sliding homoclinic solutions to bounded solutions on ℝ for certain discontinuous planar systems under periodic perturbations. Sufficient conditions are derived for such perturbation problems.