This article is cited in 2 papers

Heteroclinic Geodesics for a Class of Manifolds With Symmetry

S. V. Bolotin^a, P. H. Rabinowitz<sup>b

a</sup> Department of Mathematics and Mechanics, Moscow State University, Vorob'evy Gory, Moscow 119899, Russia
^b Department of Mathematics, University of Wisconsin, Madison, Wisconsin, USA

Abstract: The results of Morse and Hedlund about minimal heteroclinic geodesics on surfaces are generalized to a class of Finsler manifolds possessing a symmetry. The existence of minimal heteroclinic geodesics is established. Under an assumption that the set of such geodesics has certain compactness properties, multibump chaotic geodesics are constructed.

MSC: 58F08, 58F30

Received: 03.09.1998

Language: English

DOI: 10.1070/RD1998v003n04ABEH000092

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