scholarly journals Collective Motion as a Transient Structure in a Hamiltonian Dynamical System

2006 ◽  
Vol 162 ◽  
pp. 104-111
Author(s):  
Hidetoshi Morita ◽  
Kunihiko Kaneko
Keyword(s):  
Dynamical System ◽  
Collective Motion ◽  
Hamiltonian Dynamical System ◽  
Transient Structure

scholarly journals Constructing the time independent Hamiltonian from a time dependent one

Open Physics ◽  
2007 ◽  
Vol 5 (3) ◽  
Author(s):  
Michał Dobrski
Keyword(s):  
Dynamical System ◽  
Harmonic Oscillator ◽  
Time Dependent ◽  
Damped Harmonic Oscillator ◽  
Hamiltonian Dynamical System ◽  
Equivalent Time ◽  
New Time

AbstractIn this paper we introduce a method for finding a time independent Hamiltonian of a given Hamiltonian dynamical system by canonoid transformation of canonical momenta. We find a condition that the system should satisfy to have an equivalent time independent formulation. We study the example of a damped harmonic oscillator and give the new time independent Hamiltonian for it, which has the property of tending to the standard Hamiltonian of the harmonic oscillator as damping goes to zero.

scholarly journals NAMBU BRACKETS WITH CONSTRAINT FUNCTIONALS

2006 ◽  
Vol 21 (03) ◽  
pp. 575-588
Author(s):  
A. TEĞMEN
Keyword(s):  
Dynamical System ◽  
Poisson Bracket ◽  
Degrees Of Freedom ◽  
Polynomial Algebra ◽  
Functional Relations ◽  
Hamiltonian Dynamical System ◽  
Constants Of Motion ◽  
Nambu Brackets

If a Hamiltonian dynamical system with n degrees of freedom admits m constants of motion more than 2n-1, then there exist some functional relations between the constants of motion. Among these relations the number of functionally independent ones are s = m-(2n-1). It is shown that for such a system in which the constants of motion constitute a polynomial algebra closing in Poisson bracket, the Nambu brackets can be written in terms of these s constraint functionals. The exemplification is very rich and several of them are analyzed in the text.

Wavelet analysis and Arnold web picture for detecting energy transfer in a Hamiltonian dynamical system

Laser Physics ◽  
2006 ◽  
Vol 16 (7) ◽  
pp. 1097-1106 ◽  
Author(s):  
A. Shojiguchi ◽  
A. Baba ◽  
C. B. Li ◽  
T. Komatsuzaki ◽  
M. Toda
Keyword(s):  
Dynamical System ◽  
Energy Transfer ◽  
Wavelet Analysis ◽  
Hamiltonian Dynamical System

Study on the Correspondence of Hamiltonian Flows and Functions of Brake Hamiltonian System Based on Mechanical Mechanics

2013 ◽  
Vol 345 ◽  
pp. 85-88
Author(s):  
Da Wei Sun ◽  
Jia Rui Liu
Keyword(s):  
Dynamical System ◽  
Hamiltonian System ◽  
Hamiltonian Diffeomorphisms ◽  
Hamiltonian Flows ◽  
Hamiltonian Dynamical System ◽  
Hamiltonian Functions

This paper studies the Hamiltonian flows and functions of the brake Hamiltonian dynamical system. By the properties of the brake Hamiltonian system and the transformation law of Hamiltonian diffeomorphisms, this paper proves the correspondence of the Hamiltonian flows and the symmetrical Hamiltonian functions under some conditions.

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