Lefschetz numbers and asymptotic periods
Lefschetz numbers and asymptotic periods

Author(s): Karol Gryszka
Subject(s): Logic
Published by: Wydawnictwo Uniwersytetu Łódzkiego
Keywords: lefschetz number; Euler characteristic; dynamical system; asymptotic
Summary/Abstract: In this note we prove several results linking Lefschetz numbers with asymptotic behaviour of the orbit in flows. With the aid of the Lefschetz fixed point theorem and the presence of a non-trivial limit set we prove the existence of asymptotically non-periodic orbits.

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