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.
|Original language||English (US)|
|Number of pages||9|
|Journal||Transactions of the American Mathematical Society|
|State||Published - Jan 1 1985|
ASJC Scopus subject areas
- Applied Mathematics