A novel methodology for constructing a multi-wing chaotic and hyperchaotic system with a unified step function switching control

doi:10.1088/1674-1056/25/5/050503

中国物理B ›› 2016, Vol. 25 ›› Issue (5): 50503-050503.doi: 10.1088/1674-1056/25/5/050503

A novel methodology for constructing a multi-wing chaotic and hyperchaotic system with a unified step function switching control

Chao-Xia Zhang(张朝霞), Si-Min Yu(禹思敏)

1. Department of Computer Science, Guangdong University of Education, Guangzhou 510303, China;
2. Faculty of Automation, Guangdong University of Technology, Guangzhou 510006, China

收稿日期:2015-11-17 修回日期:2016-01-26 出版日期:2016-05-05 发布日期:2016-05-05
通讯作者: Si-Min Yu E-mail:siminyu@163.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 61403143), the Natural Science Foundation of Guangdong Province, China (Grant No. 2014A030313739), the Science and Technology Foundation Program of Guangzhou City, China (Grant No. 201510010124), and the Excellent Doctorial Dissertation Foundation of Guangdong Province, China (Grant No. XM080054).

A novel methodology for constructing a multi-wing chaotic and hyperchaotic system with a unified step function switching control

Chao-Xia Zhang(张朝霞)¹, Si-Min Yu(禹思敏)²

1. Department of Computer Science, Guangdong University of Education, Guangzhou 510303, China;
2. Faculty of Automation, Guangdong University of Technology, Guangzhou 510006, China

Received:2015-11-17 Revised:2016-01-26 Online:2016-05-05 Published:2016-05-05
Contact: Si-Min Yu E-mail:siminyu@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 61403143), the Natural Science Foundation of Guangdong Province, China (Grant No. 2014A030313739), the Science and Technology Foundation Program of Guangzhou City, China (Grant No. 201510010124), and the Excellent Doctorial Dissertation Foundation of Guangdong Province, China (Grant No. XM080054).

摘要/Abstract

摘要： This paper aims at developing a novel method of constructing a class of multi-wing chaotic and hyperchaotic system by introducing a unified step function. In order to overcome the essential difficulties in iteratively adjusting multiple parameters of conventional multi-parameter control, this paper introduces a unified step function controlled by a single parameter for constructing various multi-wing chaotic and hyperchaotic systems. In particular, to the best of the authors' knowledge, this is also the first time to find a non-equilibrium multi-wing hyperchaotic system by means of the unified step function control. According to the heteroclinic loop Shilnikov theorem, some properties for multi-wing attractors and its chaos mechanism are further discussed and analyzed. A circuit for multi-wing systems is designed and implemented for demonstration, which verifies the effectiveness of the proposed approach.

关键词: non-equilibrium multi-wing hyperchaotic system, single parameter control, unified step function, circuit implementation

Abstract: This paper aims at developing a novel method of constructing a class of multi-wing chaotic and hyperchaotic system by introducing a unified step function. In order to overcome the essential difficulties in iteratively adjusting multiple parameters of conventional multi-parameter control, this paper introduces a unified step function controlled by a single parameter for constructing various multi-wing chaotic and hyperchaotic systems. In particular, to the best of the authors' knowledge, this is also the first time to find a non-equilibrium multi-wing hyperchaotic system by means of the unified step function control. According to the heteroclinic loop Shilnikov theorem, some properties for multi-wing attractors and its chaos mechanism are further discussed and analyzed. A circuit for multi-wing systems is designed and implemented for demonstration, which verifies the effectiveness of the proposed approach.

Key words: non-equilibrium multi-wing hyperchaotic system, single parameter control, unified step function, circuit implementation

中图分类号: (Control of chaos, applications of chaos)

05.45.Gg

05.45.Pq (Numerical simulations of chaotic systems)

张朝霞, 禹思敏. A novel methodology for constructing a multi-wing chaotic and hyperchaotic system with a unified step function switching control[J]. 中国物理B, 2016, 25(5): 50503-050503.

Chao-Xia Zhang(张朝霞), Si-Min Yu(禹思敏). A novel methodology for constructing a multi-wing chaotic and hyperchaotic system with a unified step function switching control[J]. Chin. Phys. B, 2016, 25(5): 50503-050503.

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A novel methodology for constructing a multi-wing chaotic and hyperchaotic system with a unified step function switching control

A novel methodology for constructing a multi-wing chaotic and hyperchaotic system with a unified step function switching control

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