Dynamical behaviours of a 3D hysteresis-based system

Fengling Han; Jinhu Lü; Xinghuo Yu; Guanrong Chen

doi:10.1016/j.chaos.2005.05.021

Dynamical behaviours of a 3D hysteresis-based system

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

^*Corresponding author for this work

Central Queensland University
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

6 Scopus citations

Abstract

This paper further investigates the dynamical behaviours of a hysteresis-based system. The multi-scroll chaotic attractors can be generated from a given three-dimensional (3D) linear system via a hysteresis series controller. The equilibrium points, stability, symmetry, limit cycles, and periodic windows of the general 3D hysteresis-based system are discussed. In particular, the controlled system has different dynamical behaviours for different hysteresis controllers. Numerical simulations show the abundant dynamical behaviours of the hysteresis-based systems.

Original language	English
Pages (from-to)	182-192
Number of pages	11
Journal	Chaos, Solitons and Fractals
Volume	28
Issue number	1
DOIs	https://doi.org/10.1016/j.chaos.2005.05.021
State	Published - Apr 2006
Externally published	Yes

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10.1016/j.chaos.2005.05.021

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title = "Dynamical behaviours of a 3D hysteresis-based system",

abstract = "This paper further investigates the dynamical behaviours of a hysteresis-based system. The multi-scroll chaotic attractors can be generated from a given three-dimensional (3D) linear system via a hysteresis series controller. The equilibrium points, stability, symmetry, limit cycles, and periodic windows of the general 3D hysteresis-based system are discussed. In particular, the controlled system has different dynamical behaviours for different hysteresis controllers. Numerical simulations show the abundant dynamical behaviours of the hysteresis-based systems.",

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year = "2006",

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AU - Lü, Jinhu

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AU - Chen, Guanrong

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N2 - This paper further investigates the dynamical behaviours of a hysteresis-based system. The multi-scroll chaotic attractors can be generated from a given three-dimensional (3D) linear system via a hysteresis series controller. The equilibrium points, stability, symmetry, limit cycles, and periodic windows of the general 3D hysteresis-based system are discussed. In particular, the controlled system has different dynamical behaviours for different hysteresis controllers. Numerical simulations show the abundant dynamical behaviours of the hysteresis-based systems.

AB - This paper further investigates the dynamical behaviours of a hysteresis-based system. The multi-scroll chaotic attractors can be generated from a given three-dimensional (3D) linear system via a hysteresis series controller. The equilibrium points, stability, symmetry, limit cycles, and periodic windows of the general 3D hysteresis-based system are discussed. In particular, the controlled system has different dynamical behaviours for different hysteresis controllers. Numerical simulations show the abundant dynamical behaviours of the hysteresis-based systems.

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DO - 10.1016/j.chaos.2005.05.021

M3 - 文章

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SP - 182

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JO - Chaos, Solitons and Fractals

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ER -

Dynamical behaviours of a 3D hysteresis-based system

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