Results 331 to 340 of about 22,561,015 (383)

Asymptotic Integrability and Periodic Solutions of a Hamiltonian System in $1:2:2$-Resonance

, 1984
A Hamiltonian system in $1:2:2$-resonance, normalized to degree three admits three integrals, which represent three asymptotic integrals of the original system valid for all time. In a detuned system we find in this way only two integrals.
Els van der Aa, F. Verhulst
semanticscholar   +1 more source

Reduction of the Einstein equations in 2+1 dimensions to a Hamiltonian system over Teichmüller space

, 1989
In this paper the ADM (Arnowitt, Deser, and Misner) reduction of Einstein’s equations for three‐dimensional ‘‘space‐times’’ defined on manifolds of the form Σ×R, where Σ is a compact orientable surface, is discussed. When the genus g of Σ is greater than
V. Moncrief
semanticscholar   +1 more source

Collective oscillation in a hamiltonian system.

Physical Review Letters, 2006
Oscillation of macroscopic variables is discovered in a metastable state of the Hamiltonian system of the mean-field model. The duration of the oscillation is divergent with the system size.
H. Morita, K. Kaneko
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On the Hamiltonian Flow of Brake Hamiltonian System

Applied Mechanics and Materials, 2013
This paper studies the Hamiltonian flow of the brake Hamiltonian dynamical system on the symmetrical symplectic manifold. By using the transformation law of Hamiltonian diffeomorphisms and the Hamiltonian vectors, this paper describes the characteristics of the Hamiltonian flows and proves that the Hamiltonian flows are invariant under some ...
Da Wei Sun, Jia Rui Liu
openaire   +2 more sources

MULTIPLE HOMOCLINICS IN A HAMILTONIAN SYSTEM WITH ASYMPTOTICALLY OR SUPER LINEAR TERMS

, 2006
This paper is concerned with homoclinic orbits in the Hamiltonian system where H is periodic in t with Hz(t, z) = L(t)z + Rz(t, z), Rz(t, z) = o(|z|) as z → 0.
Yanheng Ding
semanticscholar   +1 more source

Normalization of a Hamiltonian system near an invariant cycle or torus

, 1989
CONTENTS Introduction § 1. Normal form of a linear Hamiltonian system with periodic coefficients § 2. Normal form in the neighbourhood of a periodic solution § 3. Neighbourhood of an invariant torus § 4. A system with two degrees of freedom § 5.
A. Bryuno
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Almost invariant elliptic manifold in a singularly perturbed Hamiltonian system

, 2002
We consider a singularly perturbed Hamiltonian system, which loses one degree of freedom at e = 0. Assume the slow manifold to be normally elliptic.
V. Gelfreich, L. Lerman
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An algebro-geometric solution for a Hamiltonian system with application to dispersive long wave equation

, 2005
By using an iterative algebraic method, we derive from a spectral problem a hierarchy of nonlinear evolution equations associated with dispersive long wave equation.
Y. Hon, E. Fan
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Method of separation of variables and Hamiltonian system

, 1993
In the theory of mechanics and/or mathematical physics problems in a prismatic domain, the method of separation of variables ususally leads to the Sturm–Liouville-type eigenproblems of self-adjoint operators, and then the eigenfunction expansion method ...
Zhong Wan-xie, Zhong Xiang-Xiang
semanticscholar   +1 more source

Exact quantum theory of a time-dependent bound quadratic Hamiltonian system.

Physical Review A. Atomic, Molecular, and Optical Physics, 1993
Using the path-integral method, the propagator, the wave function, and the expectation values are evaluated explicitly for a time-dependent bound quadratic Hamiltonian system.
Yeon, Lee, Um, George, Pandey
semanticscholar   +1 more source