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Homoclinic chaos in the Hamiltonian dynamics of extended test bodies

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arxiv 2207.01594 v1 pith:Z3HG32BJ submitted 2022-07-04 nlin.CD physics.class-ph

Ronaldo S. S. Vieira , Ricardo A. Mosna This is my paper · ORCID
classification nlin.CDphysics.class-ph
keywords chaosbodieschaoticdynamicsextendedtestappliedarises
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There is a long tradition of studying chaotic trajectories in systems whose integrability is broken by means of an external perturbation. Here we explore a different route to chaos, in the dynamics of extended bodies, which arises due to finite-size corrections to the otherwise integrable motion of a test particle. We find that cyclic changes in the overall shape of the body may lead to the onset of chaos. This is applied to the Duffing and Yukawa potentials. For Kepler's potential, periodic deviations from spherical symmetry give rise to chaotic regions around the unperturbed parabolic orbit.

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Cited by 1 Pith paper

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  1. Chaotic orbital dynamics of pulsating stars around black holes surrounded by dark matter halos

    gr-qc 2024-12 conditional novelty 6.0 of 10

    Spherically symmetric pulsations trigger homoclinic chaos in orbits around black holes enclosed by dark matter halos, unlike the vacuum Schwarzschild case.

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