Abstract
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) |
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Pages (from-to) | 275-283 |
Number of pages | 9 |
Journal | Transactions of the American Mathematical Society |
Volume | 287 |
Issue number | 1 |
DOIs | |
State | Published - Jan 1 1985 |
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics