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

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.

10 pages

Cited by in corpus (2)

• Nosé-Thermostated Mechanical Systems on the n-Torus
• Invariant tori for multi-dimensional integrable hamiltonians coupled to a single thermostat