Remarks on Power Spectra of Chaotic Dynamical Systems

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dc.creatorGuralnik, Gerald
dc.creatorGuralnik, Zachary
dc.creatorPehlevan, Cengiz
dc.date2008-08-31
dc.date.accessioned2026-07-07T09:59:41Z
dc.date.available2026-07-07T09:59:41Z
dc.descriptionWe develop novel methods to compute auto-correlation functions, or power spectral densities, for chaotic dynamical systems generated by an inverse method whose starting point is an invariant distribution and a two-form. In general, the inverse method makes some aspects of chaotic dynamics calculable by methods familiar in quantum field theory. This approach has the numerical advantage of being amenable to Monte-Carlo parallel computation. We demonstrate the approach on a specific example, and show how auto-correlation functions can be computed without any direct numerical simulation, by Pade approximants of a short time expansion.
dc.description12 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0809.0148
dc.identifierhttp://arxiv.org/abs/0809.0148
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168113
dc.subjectChaotic Dynamics
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.subjectFluid Dynamics
dc.titleRemarks on Power Spectra of Chaotic Dynamical Systems
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