This article gives an application of the Lefschetz fixed point theorem to prove, under certain hypotheses, the existence of a family of periodic orbits for a smooth map. The family has points of periods 2kp for some p and all k > 0. There is a version of the result for a parametrized family ft which shows that these orbits are “connected” in parametrized space under appropriate hypotheses.
ASJC Scopus subject areas
- Applied Mathematics