9 citations · 49 across the 15 of their papers we have counts for
4 papers · 1 filter
Invariant fibration of geodesic flows
Leo T. Butler
Let (Σ, g) be a compact finslerian 3-manifold. If the geodesic flow of g is completely integrable, and the singular set is a tamely-embedded polyhedron, then is almo…
Geometry and Real-Analytic Integrability
Leo T. Butler
This note constructs a compact, real-analytic, riemannian 4-manifold (Σ, g) with the properties that: (1) its geodesic flow is completely integrable with smooth but not real-analyt…
Nosé-Thermostated Mechanical Systems on the n-Torus
Leo T. Butler
Let be an -degree of freedom mechanical Hamiltonian on the cotangent bundle of the -torus where . When the metric is f…
Invariant tori for the Nosé Thermostat near the High-Temperature Limit
Leo T. Butler
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 i…