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An Example of a Nearly Integrable Hamiltonian System with a Trajectory Dense in a Set of Maximal Hausdorff Dimension
Nearly Integrable Hamiltonian System Trajectory Dense Maximal Hausdorff Dimension
2015/9/25
The famous ergodic hypothesis suggests that for a typical Hamiltonian on a typical energy surface nearly all trajectories are dense. KAM theory disproves it.Ehrenfest (The Conceptual Foundations of th...
Shilnikov Lemma for a normally hyperbolic critical manifold of a Hamiltonian system
Shilnikov Lemma normally hyperbolic critical manifold Hamiltonian system
2015/3/18
Shilnikov Lemma for a normally hyperbolic critical manifold of a Hamiltonian system.
Periodic orbits of a one dimensional non autonomous Hamiltonian system
Morse theory periodic orbits twisting number
2011/2/28
In this paper we study the properties of the periodic orbits of x + V 0 x(t; x) = 0 with x 2 S1 and V 0 x (t; x) a T0 periodic potential.
Hydrodynamic Limit for an Hamiltonian System with Boundary Conditions and Conservative Noise
Intuitionistic fuzzy differentiation intuitionistic fuzzy continuity
2010/12/3
ntuitionistic Fuzzy derivative, Intuitionistic Fuzzy Gateaux derivative, Intuitionistic Fuzzy Fr´echet derivative are defined and a few of their properties are studied. The relation be-
tween I...
Fractal Weyl law behavior in an open, chaotic Hamiltonian system
chaotic Hamiltonian system Fractal Weyl law
2010/4/8
We numerically show fractal Weyl law behavior in an open Hamiltonian system that is described by a smooth potential and which supports numerous above-barrier resonances. This behavior holds even relat...