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Phase Space Structure and Fractal Trajectories in 1½ Degree of Freedom Hamiltonian Systems Whose Time Dependence is Quasiperiodic : Volume 5, Issue 2 (30/11/-0001)

By Brown, M. G.

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Book Id: WPLBN0004019921
Format Type: PDF Article :
File Size: Pages 6
Reproduction Date: 2015

Title: Phase Space Structure and Fractal Trajectories in 1½ Degree of Freedom Hamiltonian Systems Whose Time Dependence is Quasiperiodic : Volume 5, Issue 2 (30/11/-0001)  
Author: Brown, M. G.
Volume: Vol. 5, Issue 2
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Copernicus GmbH
Historic
Publication Date:
-0001
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications

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Brown, M. G. (-0001). Phase Space Structure and Fractal Trajectories in 1½ Degree of Freedom Hamiltonian Systems Whose Time Dependence is Quasiperiodic : Volume 5, Issue 2 (30/11/-0001). Retrieved from http://hawaiilibrary.net/


Description
Description: Rosenstiel School of Marine and Atmospheric Science, University of Miami, 4600 Rickenbacker Cswy., Miami, FL 33149. We consider particle motion in nonautonomous 1 degree of freedom Hamiltonian systems for which H(p,q,t) depends on N periodic functions of t with incommensurable frequencies. It is shown that in near-integrable systems of this type, phase space is partitioned into nonintersecting regular and chaotic regions. In this respect there is no different between the N = 1 (periodic time dependence) and the N = 2, 3, ... (quasi-periodic time dependence) problems. An important consequence of this phase space structure is that the mechanism that leads to fractal properties of chaotic trajectories in systems with N = 1 also applies to the larger class of problems treated here. Implications of the results presented to studies of ray dynamics in two-dimensional incompressible fluid flows are discussed.

Summary
Phase space structure and fractal trajectories in 1½ degree of freedom Hamiltonian systems whose time dependence is quasiperiodic

 

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