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arXiv · 1806.10198

Invariant tori for a class of singly thermostated hamiltonians

Leo T. Butler
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Abstract

This paper demonstrates sufficient conditions for the existence of a positive measure set of invariant KAM tori in a singly thermostated, 1 degree-of-freedom hamiltonian vector field. This result is applied to 4 important single thermostats in the literature and it is shown that in each case, if the hamiltonian is real-analytic and well-behaved, then the thermostated system always has a positive measure set of invariant KAM tori for sufficiently weak coupling and high temperature. This extends results of Legoll, Luskin & Moeckel.

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Leo T. Butler. 2018-06-26. Invariant tori for a class of singly thermostated hamiltonians. https://arxiv.org/abs/1806.10198

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