Chaos Control and Bifurcation Behavior for a Sprott E System with Distributed Delay Feedback

Chang-Jin Xu Yu-Sen Wu

Chang-Jin Xu, Yu-Sen Wu. Chaos Control and Bifurcation Behavior for a Sprott E System with Distributed Delay Feedback[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2015, 12(2): 182-191. doi: 10.1007/s11633-014-0852-z
引用本文: Chang-Jin Xu, Yu-Sen Wu. Chaos Control and Bifurcation Behavior for a Sprott E System with Distributed Delay Feedback[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2015, 12(2): 182-191. doi: 10.1007/s11633-014-0852-z
Chang-Jin Xu and Yu-Sen Wu. Chaos Control and Bifurcation Behavior for a Sprott E System with Distributed Delay Feedback. International Journal of Automation and Computing, vol. 12, no. 2, pp. 182-191, 2015 doi:  10.1007/s11633-014-0852-z
Citation: Chang-Jin Xu and Yu-Sen Wu. Chaos Control and Bifurcation Behavior for a Sprott E System with Distributed Delay Feedback. International Journal of Automation and Computing, vol. 12, no. 2, pp. 182-191, 2015 doi:  10.1007/s11633-014-0852-z

Chaos Control and Bifurcation Behavior for a Sprott E System with Distributed Delay Feedback

doi: 10.1007/s11633-014-0852-z
基金项目: 

This work is supported by National Natural Science Foundation of China (Nos. 11261010 and 11101126), Soft Science and Technology Program of Guizhou Province (No. 2011LKC2030), Natural Science and Technology Foundation of Guizhou Province (No. J[2012]2100), Governor Foundation of Guizhou Province (No. [2012]53) and Natu-ral Science and Technology Foundation of Guizhou Province (2014), and Natural Science Innovation Team Project of Guizhou Province (No. [2013]14).

详细信息
    作者简介:

    Yu-Sen Wu graduated from Liaocheng University, China in 2004. He received his M. Sc. degree from Central South Univer-sity, China in 2007, and his Ph. D. degree from Central South University, China in 2010, respectively. He is currently an as-sociate professor at School of Mathemat-ics and Statistics of Henan University of Science and Technology. He has published about 30 refereed journal papers. He is a reviewer of Mathemat-ical Reviews, Zentralblatt MATH. His research interests include the qualitative theory of ordi-nary differential equation and computer symbol calculation. E-mail: wuyusen82714@yahoo.com.cn

Chaos Control and Bifurcation Behavior for a Sprott E System with Distributed Delay Feedback

Funds: 

This work is supported by National Natural Science Foundation of China (Nos. 11261010 and 11101126), Soft Science and Technology Program of Guizhou Province (No. 2011LKC2030), Natural Science and Technology Foundation of Guizhou Province (No. J[2012]2100), Governor Foundation of Guizhou Province (No. [2012]53) and Natu-ral Science and Technology Foundation of Guizhou Province (2014), and Natural Science Innovation Team Project of Guizhou Province (No. [2013]14).

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出版历程
  • 收稿日期:  2013-11-02
  • 修回日期:  2014-03-19

Chaos Control and Bifurcation Behavior for a Sprott E System with Distributed Delay Feedback

doi: 10.1007/s11633-014-0852-z
    基金项目:

    This work is supported by National Natural Science Foundation of China (Nos. 11261010 and 11101126), Soft Science and Technology Program of Guizhou Province (No. 2011LKC2030), Natural Science and Technology Foundation of Guizhou Province (No. J[2012]2100), Governor Foundation of Guizhou Province (No. [2012]53) and Natu-ral Science and Technology Foundation of Guizhou Province (2014), and Natural Science Innovation Team Project of Guizhou Province (No. [2013]14).

    作者简介:

    Yu-Sen Wu graduated from Liaocheng University, China in 2004. He received his M. Sc. degree from Central South Univer-sity, China in 2007, and his Ph. D. degree from Central South University, China in 2010, respectively. He is currently an as-sociate professor at School of Mathemat-ics and Statistics of Henan University of Science and Technology. He has published about 30 refereed journal papers. He is a reviewer of Mathemat-ical Reviews, Zentralblatt MATH. His research interests include the qualitative theory of ordi-nary differential equation and computer symbol calculation. E-mail: wuyusen82714@yahoo.com.cn

摘要: In this paper, the problem of controlling chaos in a Sprott E system with distributed delay feedback is considered. By analyzing the associated characteristic transcendental equation, we focus on the local stability and Hopf bifurcation nature of the Sprott E system with distributed delay feedback. Some explicit formulae for determining the stability and the direction of the Hopf bifurcation periodic solutions are derived by using the normal form theory and center manifold theory. Numerical simulations for justifying the theoretical analysis are provided.

English Abstract

Chang-Jin Xu, Yu-Sen Wu. Chaos Control and Bifurcation Behavior for a Sprott E System with Distributed Delay Feedback[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2015, 12(2): 182-191. doi: 10.1007/s11633-014-0852-z
引用本文: Chang-Jin Xu, Yu-Sen Wu. Chaos Control and Bifurcation Behavior for a Sprott E System with Distributed Delay Feedback[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2015, 12(2): 182-191. doi: 10.1007/s11633-014-0852-z
Chang-Jin Xu and Yu-Sen Wu. Chaos Control and Bifurcation Behavior for a Sprott E System with Distributed Delay Feedback. International Journal of Automation and Computing, vol. 12, no. 2, pp. 182-191, 2015 doi:  10.1007/s11633-014-0852-z
Citation: Chang-Jin Xu and Yu-Sen Wu. Chaos Control and Bifurcation Behavior for a Sprott E System with Distributed Delay Feedback. International Journal of Automation and Computing, vol. 12, no. 2, pp. 182-191, 2015 doi:  10.1007/s11633-014-0852-z
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