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This article is cited in 3 scientific papers (total in 3 papers)
On the 60th birthday of V.I.Arnold
Homo- and heteroclinic orbits, hyperbolic subsets in a one-parameter unfolding of a Hamiltonian system with heteroclinic contour with two saddle-foci
L. M. Lerman Research Institute for Appl. Math. & Cybernetics,
10, Ul'yanov St., Nizhny Novgorod, 603005 Russia
Abstract:
We study a 1-parametric family of the Hamiltonian systems with 2 hyperbolic fixed points and analyze the structure and bifurcations of homoclinic and heteroclinic trajectories under the variation of the parameter and energy values.
Received: 01.12.1997
Citation:
L. M. Lerman, “Homo- and heteroclinic orbits, hyperbolic subsets in a one-parameter unfolding of a Hamiltonian system with heteroclinic contour with two saddle-foci”, Regul. Chaotic Dyn., 2:3-4 (1997), 139–155
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https://www.mathnet.ru/eng/rcd1016 https://www.mathnet.ru/eng/rcd/v2/i3/p139
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