An index for periodic orbits

of local semidynamical systems

Author:
Christian C. Fenske

Journal:
Trans. Amer. Math. Soc. **350** (1998), 4973-4991

MSC (1991):
Primary 54H20; Secondary 58F25, 58F32, 55M25

DOI:
https://doi.org/10.1090/S0002-9947-98-02114-X

MathSciNet review:
1458322

Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: We define an index of Fuller type counting the number of periodic orbits of a semiflow on an ANR by a suitable approximation process.

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Additional Information

**Christian C. Fenske**

Affiliation:
Mathematisches Institut der Justus-Liebig, Universität Arndtstrasse, 2 D-35392 Giessen, Germany

Email:
christian.fenske@math.uni-giessen.d400.de

DOI:
https://doi.org/10.1090/S0002-9947-98-02114-X

Keywords:
Index,
periodic orbit,
semiflow,
Fuller index,
functional differential equation

Received by editor(s):
November 20, 1995

Received by editor(s) in revised form:
November 19, 1996

Article copyright:
© Copyright 1998
American Mathematical Society