Drift of slow variables in slow-fast Hamiltonian systems
Brännström, Niklas and Gelfreich, Vassili. (2008) Drift of slow variables in slow-fast Hamiltonian systems. Physica D: Nonlinear Phenomena, Vol.237 (No.22). pp. 2913-2921. ISSN 0167-2789Full text not available from this repository.
Official URL: http://dx.doi.org/10.1016/j.physd.2008.05.001
We study the drift of slow variables in a slow-fast Hamiltonian system with several fast and slow degrees of freedom. Keeping the slow variables frozen, for any periodic trajectory of the fast subsystem we define an action. For a family of periodic orbits, the action is a scalar function of the slow variables and can be considered as a Hamiltonian function which generates some slow dynamics. These dynamics depend on the family of periodic orbits.
Assuming that for the frozen slow variables the fast system has a pair of hyperbolic periodic orbits connected by two transversal heteroclinic trajectories, we prove that for any path composed of a finite sequence of slow trajectories generated by action Hamiltonians, there is a trajectory of the full system whose slow component shadows the path. (C) 2008 Elsevier B.V. All rights reserved.
|Item Type:||Journal Article|
|Subjects:||Q Science > QA Mathematics
Q Science > QC Physics
|Divisions:||Faculty of Science > Mathematics|
|Library of Congress Subject Headings (LCSH):||Hamiltonian systems, Differentiable dynamical systems|
|Journal or Publication Title:||Physica D: Nonlinear Phenomena|
|Official Date:||15 November 2008|
|Number of Pages:||9|
|Page Range:||pp. 2913-2921|
|Access rights to Published version:||Restricted or Subscription Access|
|Funder:||Foundation Blanceflor Boncompagni-Ludovisi, nee Bildt|
 V.I. Arnold, Mathematical Methods of Classical Mechanics, Springer
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