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Multiple Perron-Frobenius operators

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 28 Mar 2001Embargo end date: 01 Jan 2001 United States Publisher:American Physical Society (APS)Journal:Physical Review E, volume 63 (issn: 1063-651X, eissn: 1095-3787, Copyright policy )
Authors: Dabaghian, Yuri A;

doi: 10.1103/physreve.63.046209 , 10.48550/arxiv.nlin/0107060

pmid: 11308932

arXiv: http://arxiv.org/abs/nlin/0107060

Multiple Perron-Frobenius operators

Abstract

A cycle expansion technique for discrete sums of several PF operators, similar to the one used in standard classical dynamical zeta-function formalism is constructed. It is shown that the corresponding expansion coefficients show an interesting universal behavior, which illustrates the details of the interference between the particlar mappings entering the sum.

14 pages

Country
United States
Related Organizations
Keywords

dynamical chaos theory, low dimensional chaos, nonlinear dynamics, FOS: Physical sciences, Chaotic Dynamics (nlin.CD), Nonlinear Sciences - Chaotic Dynamics, quantum chaos

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
Green