假分数阶Chen混沌系统同步

胡建兵, 肖建, 赵灵冬

doi:10.3969/j.issn.1007-2861.2011.06.009

上海大学学报(自然科学版) >

2011 , Vol. 17 >Issue 6: 734 - 739

DOI: https://doi.org/10.3969/j.issn.1007-2861.2011.06.009

数理化科学

假分数阶Chen混沌系统同步

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(1.西南交通大学电气工程学院,成都 610031； 2.南通大学电子信息学院,江苏南通 226019)

收稿日期: 2011-04-14

网络出版日期: 2011-12-28

基金资助

国家自然科学基金资助项目(60674057)；南通大学自然科学基金资助项目(10Z021)

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Synchronizing Improper Fractional Chen Chaotic System

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(1. School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, China;
2. School of Electronics & Information, Nantong University, Nantong 226019, Jiangsu, China)

Received date: 2011-04-14

Online published: 2011-12-28

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摘要

提出真分数阶系统和假分数阶系统的概念以及对分数阶系统分段研究的思想，建立假分数阶系统稳定性理论.研究分数阶系统中阶次大于1（假分数阶）的分数阶系统同步问题，并设计控制器实现假分数阶Chen混沌系统的同步.仿真结果证实该理论的正确性.

关键词： 混沌; 假分数阶; 同步; 稳定性

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胡建兵, 肖建, 赵灵冬 . 假分数阶Chen混沌系统同步[J]. 上海大学学报(自然科学版), 2011 , 17(6) : 734 -739 . DOI: 10.3969/j.issn.1007-2861.2011.06.009

Abstract

This paper proposes a concept of proper and improper fractional systems. A fractional system can be studied individually based on proper and improper fractional systems. A stable theorem of improper fractional system is given. Synchronization of improper fractional systems is studied, and synchronization of an improper fractional Chen chaotic system realized by designing a controller. Numerical simulation shows effectiveness of the method.

Key words： improper fraction; chaos; stability; synchronization

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