Abstract
Given a two dimensional Riemannian manifold for which the geodesic flow has a homoclinic (heteroclinic) connection, we show how to make a C 2 small perturbation of the metric for which the connection becomes transverse. We apply this result to several examples.
Department of Mathematics, Bryn Mawr College, Bryn Mawr, PA 19010. Partially supported by NSF grant DMS 9123856.
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© 1995 Springer-Verlag New York, Inc.
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Donnay, V.J. (1995). Transverse Homoclinic Connections for Geodesic Flows. In: Dumas, H.S., Meyer, K.S., Schmidt, D.S. (eds) Hamiltonian Dynamical Systems. The IMA Volumes in Mathematics and its Applications, vol 63. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8448-9_7
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DOI: https://doi.org/10.1007/978-1-4613-8448-9_7
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