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- W2613972672 abstract "We study the global flow of the anisotropic Manev problem, which describes the planar motion of two bodies under the influence of an anisotropic Newtonian potential with a relativistic correction term. We first find all the heteroclinic orbits between equilibrium solutions. Then we generalize the Poincare–Melnikov method and use it to prove the existence of infinitely many transversal homoclinic orbits. Invoking a variational principle and the symmetries of the system, we finally detect infinitely many classes of periodic solutions." @default.
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- W2613972672 date "2004-07-01" @default.
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- W2613972672 title "On the global dynamics of the anisotropic Manev problem" @default.
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- W2613972672 doi "https://doi.org/10.1016/j.physd.2004.01.039" @default.
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