Generating multi-scroll chaotic attractors via a linear second-order hysteresis system

Fengling Han; Jinhu Lü; Xinghuo Yu; Guanrong Chen; Yong Feng

Generating multi-scroll chaotic attractors via a linear second-order hysteresis system

Fengling Han^*
, Jinhu Lü
, Xinghuo Yu
, Guanrong Chen
, Yong Feng

^*Corresponding author for this work

Royal Melbourne Institute of Technology University
Chinese Academy of Sciences
City University of Hong Kong
Harbin Institute of Technology

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

36 Scopus citations

Abstract

This paper introduces a new method for generating multi-scroll chaotic attractors using a linear second-order hysteresis system. It includes 1-D n-scroll and 2-D n × m-grid scroll chaotic attractors. Basic dynamical behaviors of the hysteresis chaotic systems are further investigated via theoretical analysis. Especially, the chaotic behaviors are verified theoretically. Finally, the chaos generators are experimentally confirmed via a novel circuit design.

Original language	English
Pages (from-to)	95-110
Number of pages	16
Journal	Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms
Volume	12
Issue number	1
State	Published - Feb 2005
Externally published	Yes

Keywords

Chaos generation
Circuit design
Hysteresis series
Multi-scroll chaotic attractor

Cite this

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title = "Generating multi-scroll chaotic attractors via a linear second-order hysteresis system",

abstract = "This paper introduces a new method for generating multi-scroll chaotic attractors using a linear second-order hysteresis system. It includes 1-D n-scroll and 2-D n × m-grid scroll chaotic attractors. Basic dynamical behaviors of the hysteresis chaotic systems are further investigated via theoretical analysis. Especially, the chaotic behaviors are verified theoretically. Finally, the chaos generators are experimentally confirmed via a novel circuit design.",

keywords = "Chaos generation, Circuit design, Hysteresis series, Multi-scroll chaotic attractor",

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AU - Han, Fengling

AU - Lü, Jinhu

AU - Yu, Xinghuo

AU - Chen, Guanrong

AU - Feng, Yong

PY - 2005/2

Y1 - 2005/2

N2 - This paper introduces a new method for generating multi-scroll chaotic attractors using a linear second-order hysteresis system. It includes 1-D n-scroll and 2-D n × m-grid scroll chaotic attractors. Basic dynamical behaviors of the hysteresis chaotic systems are further investigated via theoretical analysis. Especially, the chaotic behaviors are verified theoretically. Finally, the chaos generators are experimentally confirmed via a novel circuit design.

AB - This paper introduces a new method for generating multi-scroll chaotic attractors using a linear second-order hysteresis system. It includes 1-D n-scroll and 2-D n × m-grid scroll chaotic attractors. Basic dynamical behaviors of the hysteresis chaotic systems are further investigated via theoretical analysis. Especially, the chaotic behaviors are verified theoretically. Finally, the chaos generators are experimentally confirmed via a novel circuit design.

KW - Chaos generation

KW - Circuit design

KW - Hysteresis series

KW - Multi-scroll chaotic attractor

UR - https://www.scopus.com/pages/publications/11944263551

M3 - 文章

AN - SCOPUS:11944263551

SN - 1492-8760

VL - 12

SP - 95

EP - 110

JO - Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms

JF - Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms

IS - 1

ER -

Generating multi-scroll chaotic attractors via a linear second-order hysteresis system

Abstract

Keywords

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