Zobrazeno 1 - 10
of 80
pro vyhledávání: '"Butler, Leo"'
Autor:
Butler, Leo T.
This paper demonstrates sufficient conditions for the existence of KAM tori in a singly thermostated, integrable hamiltonian system with $n$ degrees of freedom with a focus on the generalized, variable-mass thermostats of order 2--which include the N
Externí odkaz:
http://arxiv.org/abs/2107.06830
Autor:
Butler, Leo T.
This paper studies the dynamics of a family of hamiltonian systems that originate from Friedman-Lema\^itre-Robertson-Walker space-times with a coupled field and non-zero curvature. In four distinct cases, previously considered by Maciejewski, Przybyl
Externí odkaz:
http://arxiv.org/abs/2005.03740
Autor:
Butler, Leo T.
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, the existence of a horseshoe in the flow of the thermostated system is
Externí odkaz:
http://arxiv.org/abs/1909.02995
Autor:
Butler, Leo T.
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 li
Externí odkaz:
http://arxiv.org/abs/1806.10198
Autor:
Butler, Leo T.
Publikováno v:
Topology. 4:44 (2005) pps. 769--789
Let ({\Sigma}, g) be a compact $C^2$ finslerian 3-manifold. If the geodesic flow of g is completely integrable, and the singular set is a tamely-embedded polyhedron, then ${\pi}_1({\Sigma})$ is almost polycyclic. On the other hand, if {\Sigma} is a c
Externí odkaz:
http://arxiv.org/abs/1710.01290
Autor:
Butler, Leo T.
Publikováno v:
Regular & Chaotic Dynamics. 3:11 (2006), pps. 363--369
This note constructs a compact, real-analytic, riemannian 4-manifold ({\Sigma}, g) with the properties that: (1) its geodesic flow is completely integrable with smooth but not real-analytic integrals; (2) {\Sigma} is diffeomorphic to $T^2 \times S^2$
Externí odkaz:
http://arxiv.org/abs/1710.01279
Autor:
Butler, Leo T.
Let $H(q,p) = \frac12 | p |^2 + V(q)$ be an $n$-degree of freedom $C^r$ mechanical Hamiltonian on the cotangent bundle of the $n$-torus where $r>2n+2$. When the metric $| * |$ is flat, the Nos\'e-thermostated system associated to $H$ is shown to have
Externí odkaz:
http://arxiv.org/abs/1708.09104