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Langevin equation for slow degrees of freedom of Hamiltonian systems
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MacKay, Robert S. (2010) Langevin equation for slow degrees of freedom of Hamiltonian systems. In: Thiel, Marco and Kurths, Jürgen and Romano, M. Carmen and Károlyi, György and Moura, Alessandro, (eds.) Nonlinear dynamics and chaos : advances and perspectives. Understanding complex systems . Heidelberg ; New York: Springer, pp. 89-102. ISBN 9783642046292
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Official URL: http://dx.doi.org/10.1007/978-3-642-04629-2_5
Abstract
A way is sketched to derive a Langevin equation for the slow degrees of freedom of a Hamiltonian system whose fast ones are mixing Anosov. It uses the Anosov-Kasuga adiabatic invariant, martingale theory, Ruelle’s formula for weakly non-autonomous SRB measures, and large deviation theory.
Item Type: | Book Item | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Series Name: | Understanding complex systems | ||||
Publisher: | Springer | ||||
Place of Publication: | Heidelberg ; New York | ||||
ISBN: | 9783642046292 | ||||
ISSN: | 1860-0832 | ||||
Book Title: | Nonlinear dynamics and chaos : advances and perspectives | ||||
Editor: | Thiel, Marco and Kurths, Jürgen and Romano, M. Carmen and Károlyi, György and Moura, Alessandro | ||||
Official Date: | 2010 | ||||
Dates: |
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Number of Pages: | 293 | ||||
Page Range: | pp. 89-102 | ||||
DOI: | 10.1007/978-3-642-04629-2-5 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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