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Persistent URL
http://purl.org/net/epubs/work/43968
Record Status
Checked
Record Id
43968
Title
Stochastic properties of the Frobenius-Perron operator
Contributors
S Tzenov (STFC)
Abstract
In the present paper the Renormalization Group (RG) method is adopted as a tool for a constructive analysis of the properties of the Frobenius-Perron Operator. The renormalization group reduction of a generic symplectic map in the case, where the unperturbed rotation frequency of the map is far from structural resonances driven by the kick perturbation has been performed in detail. It is further shown that if the unperturbed rotation frequency is close to a resonance, the reduced RG map of the Frobenius-Perron operator (or phase-space density propagator) is equivalent to a discrete Fokker-Planck equation for the renormalized distribution function. The RG method has been also applied to study the stochastic properties of the standard Chirikov-Taylor map.
Organisation
CCLRC
,
ASTeC
,
ASTeC-AP
,
CI
Keywords
Physics
Funding Information
Related Research Object(s):
Licence Information:
Language
English (EN)
Type
Details
URI(s)
Local file(s)
Year
Report
CI Preprints
06-09. 2006.
Cockcroft-06-09.pdf
2006
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