A simple electronic circuit realization of the tent map

被引：19

作者：

Campos-Canton, I. ^{[2
]}

Campos-Canton, E. ^{[3
]}

Murguia, J. S. ^{[3
]}

Rosu, H. C. ^{[1
]}

机构：

[1] Inst Potosino Invest Cient & Tecnol, Div Mat Avanzados, San Luis Potosi 78216, Mexico

[2] Univ Autonoma San Luis Potosi, Fac Ciencias, San Luis Potosi 78000, Mexico

[3] Univ Autonoma San Luis Potosi, Dept Fis Matemat, San Luis Potosi 78000, Mexico

来源：

CHAOS SOLITONS & FRACTALS | 2009年 / 42卷 / 01期

关键词：

D O I：

10.1016/j.chaos.2008.10.037

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：12 / 16

页数：5

共 10 条

[1] Probability density functions of some skew tent maps
Billings, L
Bollt, EM
[J]. CHAOS SOLITONS & FRACTALS, 2001, 12 (02) : 365 - 376
[2] A simple Lorenz circuit and its radio frequency implementation
Blakely, Jonathan N.
Eskridge, Michael B.
Corron, Ned J.
[J]. CHAOS, 2007, 17 (02)
[3] Elaydi S., 2000, DISCRETE CHAOS
[4] An introduction to the synchronization of chaotic systems: Coupled skew tent maps
Hasler, M
Maistrenko, YL
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 1997, 44 (10) : 856 - 866
[5] On complete chaotic maps with tent-map-like structures
Huang, WH
[J]. CHAOS SOLITONS & FRACTALS, 2005, 24 (01) : 287 - 299
[6] A new method of determining chaos-parameter-region for the tent map
Li, CP
[J]. CHAOS SOLITONS & FRACTALS, 2004, 21 (04) : 863 - 867
[7] SIMPLE MATHEMATICAL-MODELS WITH VERY COMPLICATED DYNAMICS
MAY, RM
[J]. NATURE, 1976, 261 (5560) : 459 - 467
[8] Realization of the fundamental NOR gate using a chaotic circuit
Murali, K
Sinha, S
Ditto, WL
[J]. PHYSICAL REVIEW E, 2003, 68 (01): : 5
[9] Electronic circuit realization of the logistic map
Suneel, M
[J]. SADHANA-ACADEMY PROCEEDINGS IN ENGINEERING SCIENCES, 2006, 31 (1): : 69 - 78
[10] Integrated circuits of map chaos generators
Tanaka, H
Sato, S
Nakajima, K
[J]. ANALOG INTEGRATED CIRCUITS AND SIGNAL PROCESSING, 2000, 25 (03) : 329 - 335

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