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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...
Time evolution of Wigner functions governed by bipartite Hamiltonian system with kinetic coupling
entangled Wigner operator Wigner function evolution entangled state representation
2010/6/30
For the bipartite Hamiltonian system with kinetic coupling, we derive time evolution equation of Wigner functions by virtue of the bipartite entangled state representation and entangled Wigner operato...
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...
GLOBAL AND LOCAL BIFURCATION IN PERTURBATIONS OF NON-SYMMETRY AND SYMMETRY OF HAMILTONIAN SYSTEM
Non-symmetry perturbed bifurcation detec
2007/12/17
The Hamiltonian systems with the non-symmetrical and the symmtrical perturbation are investigated.By using detection functions we obtain 1) explicit formulas for the global and local bifurcations of f...
Mei Symmetry and Lie Symmetry of Relativistic
Hamiltonian System
relativity Hamiltonian system Mei symmetry Lie
symmetry conserved quantity
2007/8/15
2004Vol.42No.1pp.19-22DOI:
Mei Symmetry and Lie Symmetry of Relativistic
Hamiltonian System
FANG Jian-Hui, YAN Xiang-Hong, LI Hong, and CHEN Pei-Sheng
College of Phys...
BIFURCATIONS FROM HOMOCLINIC ORBITS FOR SECOND ORDER HAMILTONIAN SYSTEM
Bifurcations homoclinic orbit Hamilton
2007/8/7
An existence theorem of homoclinic orbit is given for second order Hamiltonian system -\"{x}(t) + a(t)x(t) - W_x(t, x(t)) = \lambda x(t) when \lambda=\lambda_1, where \lambda_1 is the first eigenvalue...
The Abelian Integrals of a One-parameter Hamiltonian System under Polynomial Perturbations
2007/7/28
期刊信息
篇名
The Abelian Integrals of a One-parameter Hamiltonian System under Polynomial Perturbations
语种
英文
撰写或编译
撰写
作者
张同华,陈文成
第一作者单位
山东科技大学
刊物名称
Inter. J. of Bifurcation and Chaos (SCI)
页面
2004, 14(7),...