Computing with distributed chaos
- 1 July 1999
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 60 (1) , 363-377
- https://doi.org/10.1103/physreve.60.363
Abstract
We describe and discuss in detail some recent results by Sinha and Ditto [Phys. Rev. Lett. 81, 2156 (1998)] demonstrating the capacity of a lattice of threshold coupled chaotic maps to perform computations. Such systems are shown to emulate logic gates, encode numbers, and perform specific arithmetic operations, such as addition and multiplication, as well as yield more specialized operations such as the calculation of the least common multiplier of a sequence of numbers. Furthermore, we extend the scheme to multidimensional continuous time dynamics, in particular to a system relevant to chaotic lasers.This publication has 25 references indexed in Scilit:
- Dynamics Based ComputationPhysical Review Letters, 1998
- Communication with Chaotic LasersScience, 1998
- Logic gates in excitable mediaThe Journal of Chemical Physics, 1995
- Experimental Control of Chaos for CommunicationPhysical Review Letters, 1994
- Unidirectional adaptive dynamicsPhysical Review E, 1994
- Adaptive dynamics on a chaotic latticePhysical Review Letters, 1993
- Using small perturbations to control chaosNature, 1993
- Coupled map lattices as computational systemsChaos: An Interdisciplinary Journal of Nonlinear Science, 1992
- Driving systems with chaotic signalsPhysical Review A, 1991
- Unpredictability and undecidability in dynamical systemsPhysical Review Letters, 1990