9 citations · 49 across the 15 of their papers we have counts for
18 papers
Invariant tori for multi-dimensional integrable hamiltonians coupled to a single thermostat
Leo T. Butler
This paper demonstrates sufficient conditions for the existence of KAM tori in a singly thermostated, integrable hamiltonian system with degrees of freedom with a focus on the…
Horseshoes and invariant tori in cosmological models with a coupled field and non-zero curvature
Leo T. Butler
This paper studies the dynamics of a family of hamiltonian systems that originate from Friedman-Lemaître-Robertson-Walker space-times with a coupled field and non-zero curvature. I…
Horseshoes for singly thermostated hamiltonians
Leo T. Butler
This note studies 1 and 2 degree of freedom hamiltonian systems that are thermostated by a single-variable thermostat. Under certain conditions on the hamiltonian and thermostat, t…
Invariant tori for a class of singly thermostated hamiltonians
Leo T. Butler
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 fie…
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…