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arXiv · 2005.03740

Horseshoes and invariant tori in cosmological models with a coupled field and non-zero curvature

Leo T. Butler
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Abstract

This paper studies the dynamics of a family of hamiltonian systems that originate from Friedman-Lema\^itre-Robertson-Walker space-times with a coupled field and non-zero curvature. In four distinct cases, previously considered by Maciejewski, Przybylska, Stachowiak & Szydowski, it is shown that there are homoclinic connections to invariant submanifolds and the connections split. These results imply the non-existence of a real-analytic integral independent of the hamiltonian.

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Leo T. Butler. 2020-05-07. Horseshoes and invariant tori in cosmological models with a coupled field and non-zero curvature. https://doi.org/10.1088/1361-6382%2Fabac46

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