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Coupled Map Lattices: Abstract Dynamics and Models for Physical Systems

  • Raymond Kapral
Part of the NATO ASI Series book series (NSSB, volume 260)

Abstract

Complicated spatio-temporal structures can arise when large numbers of simple dynamical elements are coupled. There are many physically interesting systems that fall into this category. Numerous examples can be found in biology where self-organization occurs at the cellular level, the brain where interactions among neurons are responsible for its activity, the heart where patterned excitation leads to normal rhythms and the converse to fibrillation. One can include the equations of continuum hydrodynamics and reaction-diffusion equations in this category since they can be considered to arise from a coupling among local fluid elements. A range of descriptions has been used to study the dynamical behavior of such systems.

Keywords

Cellular Automaton Diffusive Coupling Bifurcation Structure Phase Transition Curve Inhomogeneous Perturbation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • Raymond Kapral
    • 1
  1. 1.Chemical Physics Theory Group Department of ChemistryUniversity of TorontoTorontoCanada

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