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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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.
|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|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Archive Administrator|
|Deposited On:||25 Oct 2006|
|Last Modified:||26 Dec 2012 09:13|
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