Generalized multistable structure via chaotic synchronization and preservation of scrolls

被引：14

作者：

Jimenez-Lopez, E. ^{[1
]}

Gonzalez Salas, J. S. ^{[2
]}

Ontanon-Garcia, L. J. ^{[1
]}

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

Pisarchik, A. N. ^{[4
]}

机构：

[1] Univ Autonoma San Luis Potosi, Inst Invest Comunicac Opt, Dept Fis Matemat, Centro 78000, Slp, Mexico

[2] Univ Politecn San Luis Potosi, Acad Matemat, Slp 78369, Mexico

[3] Inst Potosino Invest Cient & Tecnol, Div Matemat Aplicadas, Slp 78216, Mexico

[4] Ctr Invest Opt, Leon 37150, Gto, Spain

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2013年 / 350卷 / 10期

关键词：

COEXISTING ATTRACTORS; CHUAS CIRCUIT; FAMILY; SYSTEMS;

D O I：

10.1016/j.jfranklin.2013.06.025

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Switched systems are capable of generating chaotic multi-scroll behavior in R-3 by means of a control signal. This signal regulates an equilibrium position of the system and is defined according to the number of scrolls that is displayed by the attractor. Thus, if two systems are controlled by different signals, they exhibit a different number of scrolls. Multistability can be created by a pair of unidirectionally coupled unstable dissipative switched linear systems. A theoretical study of this phenomenon is performed with the jerky equations. Generalized synchronization is observed in numerical simulations of the master-salve system with different control signals. The proposed configuration preserves the number of scrolls and can possess an arbitrary large number of coexisting chaotic multi-scroll attractors. (C) 2013 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：2853 / 2866

页数：14

共 30 条

[1] Generalized synchronization of chaos: The auxiliary system approach [J].

Abarbanel, HDI ;

Rulkov, NF ;

Sushchik, MM .

PHYSICAL REVIEW E, 1996, 53 (05) :4528-4535

[2] Detection of multistability, bifurcations, and hysteresis in a large class of biological positive-feed back systems [J].

Angeli, D ;

Ferrell, JE ;

Sontag, ED .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2004, 101 (07) :1822-1827

[3] Multistability formation and synchronization loss in coupled Henon maps: Two sides of the single bifurcational mechanism [J].

Astakhov, V ;

Shabunin, A ;

Uhm, W ;

Kim, S .

PHYSICAL REVIEW E, 2001, 63 (05)

[4] Coexisting attractors, chaotic saddles, and fractal basins in a power electronic circuit [J].

Banerjee, S .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1997, 44 (09) :847-849

[5] Chaos-based SR flip-flop via Chua's circuit [J].

Cafagna, D. ;

Grassi, G. .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2006, 16 (05) :1521-1526

[6] A MULTIVIBRATOR CIRCUIT BASED ON CHAOS GENERATION [J].

Campos-Canton, E. ;

Femat, R. ;

Barajas-Ramirez, J. G. ;

Campos-Canton, I. .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2012, 22 (01)

[7] Multiscroll attractors by switching systems [J].

Campos-Canton, E. ;

Barajas-Ramirez, J. G. ;

Solis-Perales, G. ;

Femat, R. .

CHAOS, 2010, 20 (01)

[8] Attractors generated from switching unstable dissipative systems [J].

Campos-Canton, Eric ;

Femat, Ricardo ;

Chen, Guanrong .

CHAOS, 2012, 22 (03)

[9]

Campos-Cantón I, 2008, REV MEX FIS, V54, P411

[10] From synchronization to multistability in two coupled quadratic maps [J].

Carvalho, R ;

Fernandez, B ;

Mendes, RV .

PHYSICS LETTERS A, 2001, 285 (5-6) :327-338

← 1 2 3 →