Saddle connections in planar systems

Hana Lichardova

Address. Dept. of Math., Faculty of Electrical Engineering and Information Technology SUT, Ilkovicova 3, 812 19 Bratislava,                Slovakia


Abstract. The class of planar autonomous systems with a small parameter-dependent perturbation is considered. We derive a sufficient condition for existence of a saddle connection in such system.

AMSclassification. 34C37

Keywords. Saddle connection, stable and unstable manifolds, small perturbation, Hamiltonian system