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Regular and Chaotic Dynamics, 1998, Volume 3, Issue 4, Pages 49–62
DOI: https://doi.org/10.1070/RD1998v003n04ABEH000092 (Mi rcd961) 		 
This article is cited in 2 scientific papers (total in 2 papers)

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
Citations (2)
DOI: https://doi.org/10.1070/RD1998v003n04ABEH000092
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.
Received: 03.09.1998
Bibliographic databases:
Document Type: Article
MSC: 58F08, 58F30
Language: English
Citation: S. V. Bolotin, P. H. Rabinowitz, “Heteroclinic Geodesics for a Class of Manifolds With Symmetry”, Regul. Chaotic Dyn., 3:4 (1998), 49–62
Citation in format AMSBIB
\Bibitem{BolRab98}
\by S. V. Bolotin, P.~H.~Rabinowitz
\paper Heteroclinic Geodesics for a Class of Manifolds With Symmetry
\jour Regul. Chaotic Dyn.
\yr 1998
\vol 3
\issue 4
\pages 49--62
\mathnet{http://mi.mathnet.ru/rcd961}
\crossref{https://doi.org/10.1070/RD1998v003n04ABEH000092}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1704982}
\zmath{https://zbmath.org/?q=an:0932.37019}
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    • This publication is cited in the following 2 articles:
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