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Bifurcation of heteroclinic orbits for diffeomorphisms

Michal Fečkan — 1991

Applications of Mathematics

The paper deals with the bifurcation phenomena of heteroclinic orbits for diffeomorphisms. The existence of a Melnikov-like function for the two-dimensional case is shown. Simple possibilities of the set of heteroclinic points are described for higherdimensional cases.

Bifurcation of periodic solutions in differential inclusions

Michal Fečkan — 1997

Applications of Mathematics

Ordinary differential inclusions depending on small parameters are considered such that the unperturbed inclusions are ordinary differential equations possessing manifolds of periodic solutions. Sufficient conditions are determined for the persistence of some of these periodic solutions after multivalued perturbations. Applications are given to dry friction problems.

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