Periods, Lefschetz numbers and entropy for a class of maps on a bouquet of circles

Details Periods, Lefschetz numbers and entropy for a class of maps on a bouquet of circles Periods, Lefschetz numbers and entropy for a class of maps on a bouquet of circles

2004-09-20

arxiv.org/abs/math/0409361v1

Mathematics

Dynamical Systems

19 pages, 2 figures

Scientific paper

We consider some smooth maps on a bouquet of circles. For these maps we can
compute the number of fixed points, the existence of periodic points and an
exact formula for topological entropy. We use Lefschetz fixed point theory and
actions of our maps on both the fundamental group and the first homology group.

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