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- W4298348611 abstract "For the class of anisotropic Kepler problems in $RR^dsetminus{0}$ with homogeneous potentials, we seek parabolic trajectories having prescribed asymptotic directions at infinity and which, in addition, are Morse minimizing geodesics for the Jacobi metric. Such trajectories correspond to saddle heteroclinics on the collision manifold, are structurally unstable and appear only for a codimension-one submanifold of such potentials. We give them a variational characterization in terms of the behavior of the parameter-free minimizers of an associated obstacle problem. We then give a full characterization of such a codimension-one manifold of potentials and we show how to parameterize it with respect to the degree of homogeneity." @default.
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- W4298348611 date "2011-05-17" @default.
- W4298348611 modified "2023-09-27" @default.
- W4298348611 title "Entire Parabolic Trajectories as Minimal Phase Transitions" @default.
- W4298348611 doi "https://doi.org/10.48550/arxiv.1105.3358" @default.
- W4298348611 hasPublicationYear "2011" @default.
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