假分数阶Chen混沌系统同步

doi:10.3969/j.issn.1007-2861.2011.06.009

Journal of Shanghai University（Natural Science Edition） ›› 2011, Vol. 17 ›› Issue (6): 734-739.doi: 10.3969/j.issn.1007-2861.2011.06.009

• Mathematics.Physics and Chemistry • Previous Articles Next Articles

Synchronizing Improper Fractional Chen Chaotic System

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

Received:2011-04-14 Online:2011-12-28 Published:2011-12-28

Abstract

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

CLC Number:

O 317

HU Jian-Bing, XIAO Jian, DIAO Ling-Dong. Synchronizing Improper Fractional Chen Chaotic System[J]. Journal of Shanghai University（Natural Science Edition）, 2011, 17(6): 734-739.

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Synchronizing Improper Fractional Chen Chaotic System

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