Published October 15, 2009 | Version v1
Journal article

A simple electronic circuit realization of the tent map

  • 1. Fac. de Ciencias, Universidad Autonoma de San Luis Potosi, Alvaro Obregon 64, 78000 San Luis Potosi, SLP (Mexico)
  • 2. Departamento de Fisico Matematicas, Universidad Autonoma de San Luis Potosi, Alvaro Obregon 64, 78000 San Luis Potosi, SLP (Mexico)
  • 3. Division de Materiales Avanzados, Instituto Potosino de Investigacion Cientifica y Tecnologica, Camino a la presa San Jose 2055, 78216 San Luis Potosi, SLP (Mexico)

Description

We present a very simple electronic implementation of the tent map, one of the best-known discrete dynamical systems. This is achieved by using integrated circuits and passive elements only. The experimental behavior of the tent map electronic circuit is compared with its numerical simulation counterpart. We find that the electronic circuit presents fixed points, periodicity, period doubling, chaos and intermittency that match with high accuracy the corresponding theoretical values.

Availability note (English)

Available from http://dx.doi.org/10.1016/j.chaos.2008.10.037

Additional details

Identifiers

DOI
10.1016/j.chaos.2008.10.037;
arXiv
arXiv:0807.3375v2;
PII
S0960-0779(08)00490-6;

Publishing Information

Journal Title
Chaos, Solitons and Fractals
Journal Volume
42
Journal Issue
1
Journal Page Range
p. 12-16
ISSN
0960-0779

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
41020371
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
CHAOS THEORY; INTEGRATED CIRCUITS; MAPS; PERIODICITY; SIMULATION
Descriptors DEC
ELECTRONIC CIRCUITS; MATHEMATICS; MICROELECTRONIC CIRCUITS; VARIATIONS

Optional Information

Copyright
Copyright (c) 2008 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.