CaltechAUTHORS
  A Caltech Library Service

Dynamics of coupled maps with a conservation law

Grigoriev, R. O. and Cross, M. C. (1997) Dynamics of coupled maps with a conservation law. Chaos, 7 (2). pp. 311-330. ISSN 1054-1500. http://resolver.caltech.edu/CaltechAUTHORS:GRIchaos97

[img]
Preview
PDF
See Usage Policy.

652Kb

Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechAUTHORS:GRIchaos97

Abstract

A particularly simple model belonging to a wide class of coupled maps which obey a local conservation law is studied. The phase structure of the system and the types of the phase transitions are determined. It is argued that the structure of the phase diagram is robust with respect to mild violations of the conservation law. Critical exponents possibly determining a new universality class are calculated for a set of independent order parameters. Numerical evidence is produced suggesting that the singularity in the density of Lyapunov exponents at lambda = 0 is a reflection of the singularity in the density of Fourier modes (a "Van Hove" singularity) and disappears if the conservation law is broken. Applicability of the Lyapunov dimension to the description of spatiotemporal chaos in a system with a conservation law is discussed.


Item Type:Article
Additional Information:©1997 American Institute of Physics. (Received 19 August 1996; accepted 21 January 1997) R.O.G. would like to thank Professor N. R. Corngold for many helpful discussions. The authors gratefully acknowledge the support of the National Science Foundation under Grant No. DMR9013984.
Subject Keywords:chaos; phase transformations; conservation laws; dynamics; Lyapunov methods
Record Number:CaltechAUTHORS:GRIchaos97
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:GRIchaos97
Alternative URL:http://dx.doi.org/10.1063/1.166222
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:6072
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:16 Nov 2006
Last Modified:26 Dec 2012 09:17

Repository Staff Only: item control page