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Coupled map models for chaos in extended systems

Bourzutschky, M. S. and Cross, M. C. (1992) Coupled map models for chaos in extended systems. Chaos, 2 (2). pp. 173-181. ISSN 1054-1500. http://resolver.caltech.edu/CaltechAUTHORS:BOUchaos92

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Abstract

Coupled maps with conserved quantities are introduced as models for chaos in extended systems. The long-wavelength limit of a simple one-dimensional example is investigated in detail. A Langevin equation for this system is derived, and the applicability of the fluctuation-dissipation theorem is discussed. Several numerical experiments to investigate possible thermodynamic properties are described.


Item Type:Article
Additional Information:Copyright © 1992 American Institute of Physics (Received 21 June 1991; accepted 14 November 1991) This work was partially supported through NSF Grant No. DMR-9013984.
Subject Keywords:MAPS; COUPLED MODES; CHAOTIC SYSTEMS; LANGEVIN EQUATION; THERMODYNAMIC PROPERTIES; FLUCTUATIONS; CONSERVATION LAWS; DYNAMICAL SYSTEMS; SYMMETRY BREAKING; ENTROPY; RAYLEIGH–BENARD INSTABILITY; STOCHASTIC PROCESSES; RANDOM NOISE; STRANGE ATTRACTORS; DEGREES OF FREEDOM; PHASE SPACE
Record Number:CaltechAUTHORS:BOUchaos92
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:BOUchaos92
Alternative URL:http://dx.doi.org/10.1063/1.165905
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:5551
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:25 Oct 2006
Last Modified:26 Dec 2012 09:13

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