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Coupled map models for chaos in extended systems
M. S. Bourzutschky1, M. C. Cross
1Division of Physics, Mathematics and Astronomy, California Institute of Technology, Pasadena, California 91125.
Chaos (Woodbury, N.Y.)
|April 1, 1992
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.