Please use this identifier to cite or link to this item: http://hdl.handle.net/10553/47998
Title: Locating Pollicott-Ruelle resonances in chaotic dynamical systems: A class of numerical schemes
Authors: Florido, R 
Martin-Gonzalez, JM 
Gomez Llorente, J. M.
UNESCO Clasification: 22 Física
Keywords: Axiom-A Flows
Filter-Diagonalization
Harmonic Inversion
Quantum
Spectra, et al
Issue Date: 2002
Publisher: 1063-651X
Journal: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 
Abstract: A class of numerical methods to determine Pollicott-Ruelle resonances in chaotic dynamical systems is proposed. This is achieved by relating some existing procedures which make use of Pade approximants and interpolating exponentials to both the memory function techniques used in the theory of relaxation and the filter diagonalization method used in the harmonic inversion of time correlation functions. This relationship leads to a theoretical framework in which all these methods become equivalent and which allows for new and improved numerical schemes.
URI: http://hdl.handle.net/10553/47998
ISSN: 1539-3755
DOI: 10.1103/PhysRevE.66.046208
Source: Physical Review E [ISSN 1539-3755], v. 66 (4)
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