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Computing with distributed chaos.

S Sinha1, W L Ditto

  • 1The Institute of Mathematical Sciences, CIT Campus, Madras 600 113, India.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|April 24, 2002
PubMed
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Chaotic dynamical systems, specifically lattices of threshold coupled chaotic maps, can perform complex computations. These systems emulate logic gates and execute arithmetic operations, extending to chaotic laser dynamics.

Area of Science:

  • Nonlinear dynamics
  • Computational science
  • Chaos theory

Background:

  • Recent studies by Sinha and Ditto demonstrated computational capabilities of chaotic systems.
  • Threshold coupled chaotic maps offer a novel platform for computation.

Purpose of the Study:

  • To detail and discuss the computational capacity of threshold coupled chaotic maps.
  • To extend these computational principles to continuous time dynamics, including chaotic lasers.

Main Methods:

  • Utilizing a lattice of threshold coupled chaotic maps.
  • Emulating logic gates (e.g., AND, OR, NOT).
  • Encoding numbers and performing arithmetic operations (addition, multiplication).

Main Results:

Related Experiment Videos

  • Demonstrated emulation of fundamental logic gates.
  • Successful execution of arithmetic operations like addition and multiplication.
  • Capability to perform specialized computations, such as finding the least common multiple.
  • Extension of the computational scheme to multidimensional continuous time dynamics.
  • Conclusions:

    • Lattices of threshold coupled chaotic maps possess significant computational power.
    • These chaotic systems provide a viable model for novel computing paradigms.
    • The principles are applicable to physical systems like chaotic lasers.