A Bound for the Fixed-Point Index of an Area-Preserving Map with Applications to Mechanics

Abstract

Area-preserving maps and flows play an essential role in the study of motions of mechanical systems, especially in celestial mechanics (see [1, 14]). Since one is often interested in the behavior of an area-preserving map around a fixed point and in the number and type of critical points and periodic orbits of an area-preserving flow, the ./i'xed-point… (More)

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