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 |
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| 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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