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arXiv · 1702.02238

Invariant tori for the Nosé Thermostat near the High-Temperature Limit

Leo T. Butler
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Abstract

Let H(q,p) = p^2/2 + V(q) be a 1-degree of freedom mechanical Hamiltonian with a C^n periodic potential V where n>4. The Nosé-thermostated system associated to H is shown to have invariant tori near the infinite temperature limit. This is shown to be true for all thermostats similar to Nosé's. These results complement the result of Legoll, Luskin and Moeckel who proved the existence of such tori near the decoupling limit.

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Leo T. Butler. 2017-02-08. Invariant tori for the Nosé Thermostat near the High-Temperature Limit. https://doi.org/10.1088/0951-7715%2F29%2F11%2F3454

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