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Zapiski Nauchnykh Seminarov POMI, 2003, Volume 300, Pages 122–134
(Mi znsl988)
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This article is cited in 6 scientific papers (total in 6 papers)
Creating transverse homoclinic connections in planar billiards
V. J. Donnay Department of Mathematics Bryn Mawr College
Abstract:
Given a planar billiard system containing stable and unstable manifolds that intersect non-transversely, we show how to make a local perturbation to the boundary that causes the intersection to become transverse. We apply these ideas to billiards inside an ellipse.
Received: 30.11.2002
Citation:
V. J. Donnay, “Creating transverse homoclinic connections in planar billiards”, Representation theory, dynamical systems. Part VIII, Special issue, Zap. Nauchn. Sem. POMI, 300, POMI, St. Petersburg, 2003, 122–134; J. Math. Sci. (N. Y.), 128:2 (2005), 2747–2753
Linking options:
https://www.mathnet.ru/eng/znsl988 https://www.mathnet.ru/eng/znsl/v300/p122
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Statistics & downloads: |
Abstract page: | 218 | Full-text PDF : | 55 | References: | 34 |
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