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ЖУРНАЛЫ // Regular and Chaotic Dynamics // Архив

Regul. Chaotic Dyn., 1998, том 3, выпуск 4, страницы 49–62 (Mi rcd961)

Эта публикация цитируется в 2 статьях

Heteroclinic Geodesics for a Class of Manifolds With Symmetry

S. V. Bolotina, P. H. Rabinowitzb

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

Аннотация: 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

Поступила в редакцию: 03.09.1998

Язык публикации: английский

DOI: 10.1070/RD1998v003n04ABEH000092



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