Generating chaotic attractors with multiple merged basins of attraction: A switching piecewise-linear control approach

Jinhu Lü; Xinghuo Yu; Guanrong Chen

doi:10.1109/TCSI.2002.808241

Generating chaotic attractors with multiple merged basins of attraction: A switching piecewise-linear control approach

Jinhu Lü^*
, Xinghuo Yu
, Guanrong Chen

^*Corresponding author for this work

CAS - Academy of Mathematics and System Sciences
Royal Melbourne Institute of Technology University
City University of Hong Kong

Research output: Contribution to journal › Article › peer-review

139 Scopus citations

Abstract

This paper presents several new chaos generators, switching piecewise-linear controllers, which can generate some new chaotic attractors with two or three merged basins of attraction from a given three-dimensional linear autonomous system within a wide range of parameter values. Based on this success, chaotic attractors with n merged basins of attraction are further generated using a formalized controller design methodology. Basic dynamical behaviors of the controlled chaotic system are then investigated via both theoretical analysis and numerical simulation. To that end, the underlying chaos-generation mechanism is further explored by analyzing the parameterization of the controlled system and the dynamics of the system orbits.

Original language	English
Pages (from-to)	198-207
Number of pages	10
Journal	IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
Volume	50
Issue number	2
DOIs	https://doi.org/10.1109/TCSI.2002.808241
State	Published - Feb 2003
Externally published	Yes

Access to Document

10.1109/TCSI.2002.808241

Cite this

@article{3636f5f2c1424463b5173e447e9475b9,

title = "Generating chaotic attractors with multiple merged basins of attraction: A switching piecewise-linear control approach",

abstract = "This paper presents several new chaos generators, switching piecewise-linear controllers, which can generate some new chaotic attractors with two or three merged basins of attraction from a given three-dimensional linear autonomous system within a wide range of parameter values. Based on this success, chaotic attractors with n merged basins of attraction are further generated using a formalized controller design methodology. Basic dynamical behaviors of the controlled chaotic system are then investigated via both theoretical analysis and numerical simulation. To that end, the underlying chaos-generation mechanism is further explored by analyzing the parameterization of the controlled system and the dynamics of the system orbits.",

author = "Jinhu L{\"u} and Xinghuo Yu and Guanrong Chen",

year = "2003",

month = feb,

doi = "10.1109/TCSI.2002.808241",

language = "英语",

volume = "50",

pages = "198--207",

journal = "IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications",

issn = "1057-7122",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "2",

}

TY - JOUR

T1 - Generating chaotic attractors with multiple merged basins of attraction

T2 - A switching piecewise-linear control approach

AU - Lü, Jinhu

AU - Yu, Xinghuo

AU - Chen, Guanrong

PY - 2003/2

Y1 - 2003/2

N2 - This paper presents several new chaos generators, switching piecewise-linear controllers, which can generate some new chaotic attractors with two or three merged basins of attraction from a given three-dimensional linear autonomous system within a wide range of parameter values. Based on this success, chaotic attractors with n merged basins of attraction are further generated using a formalized controller design methodology. Basic dynamical behaviors of the controlled chaotic system are then investigated via both theoretical analysis and numerical simulation. To that end, the underlying chaos-generation mechanism is further explored by analyzing the parameterization of the controlled system and the dynamics of the system orbits.

AB - This paper presents several new chaos generators, switching piecewise-linear controllers, which can generate some new chaotic attractors with two or three merged basins of attraction from a given three-dimensional linear autonomous system within a wide range of parameter values. Based on this success, chaotic attractors with n merged basins of attraction are further generated using a formalized controller design methodology. Basic dynamical behaviors of the controlled chaotic system are then investigated via both theoretical analysis and numerical simulation. To that end, the underlying chaos-generation mechanism is further explored by analyzing the parameterization of the controlled system and the dynamics of the system orbits.

UR - https://www.scopus.com/pages/publications/0037303798

U2 - 10.1109/TCSI.2002.808241

DO - 10.1109/TCSI.2002.808241

M3 - 文章

AN - SCOPUS:0037303798

SN - 1057-7122

VL - 50

SP - 198

EP - 207

JO - IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

JF - IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

IS - 2

ER -

Generating chaotic attractors with multiple merged basins of attraction: A switching piecewise-linear control approach

Abstract

Access to Document

Other files and links

Fingerprint

Cite this