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Multiple short-term memories in coupled weakly nonlinear map lattices

Batista1, Viana, Lopes

  • 1Departamento de Matematica, Universidade Estadual de Ponta Grossa, PR, Brazil.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|October 14, 2000
PubMed
Summary

Coupled map lattices can store multiple short-time memories. This capability is used to encode symbols in pixel matrices, demonstrating potential for data storage applications.

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Area of Science:

  • Complex Systems
  • Nonlinear Dynamics
  • Information Theory

Background:

  • Coupled map lattices (CMLs) are dynamical systems used to model complex phenomena.
  • Investigating memory storage in CMLs is crucial for understanding information processing in such systems.
  • Periodic external inputs can significantly alter the behavior of CMLs.

Purpose of the Study:

  • To investigate short-time memory storage in coupled map lattices with periodic external forcing.
  • To determine the transient lengths required for permanent memory in linear coupled maps.
  • To demonstrate the potential of weakly nonlinear coupled maps for encoding information.

Main Methods:

  • Analysis of transient dynamics in linear coupled map lattices.
  • Numerical simulations of coupled weakly nonlinear maps.
  • Development and application of control laws for symbol encoding.

Main Results:

  • Transient length for permanent memory was studied in linear CMLs.
  • Coupled weakly nonlinear maps exhibit the capacity for storing multiple short-time memories.
  • Successful encoding of symbols into a pixel matrix was achieved.

Conclusions:

  • Weakly nonlinear coupled map lattices offer a promising framework for short-time memory storage.
  • The ability to store multiple memories can be leveraged for practical data encoding.
  • Further research into control laws can optimize information processing in CMLs.