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Chaos Synchronization in Complex Oscillators Networks with Time Delay via Adaptive Complex Feedback Control

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Abstract

This paper investigates the problem of chaos synchronization in complex oscillators networks. An adaptive complex feedback controller is designed to realize chaos synchronization in complex oscillators networks. The adaptive complex feedback controller consisting of real part controller and imaginary part controller. The real part controller and the imaginary part controller control the real part system and the imaginary part system of complex oscillators system of complex dynamical networks, respectively. Chaos synchronization in complex oscillators networks with constant delay and chaos synchronization in complex oscillators networks with time-varying coupling delay are researched. Finally, the numerical simulations show the effectiveness of theoretical analysis.

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Acknowledgments

This research is supported by the National Natural Science Foundation of China (Nos. 61370145, 61173183, and 60973152), the Doctoral Program Foundation of Institution of Higher Education of China (No. 20070141014), Program for Liaoning Excellent Talents in University (No. LR2012003), the National Natural Science Foundation of Liaoning Province (No. 20082165), and the Fundamental Research Funds for the Central Universities (No. DUT12JB06).

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  1. Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian , 116024, China

    Qiang Wei, Xing-yuan Wang & Xiao-peng Hu

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  1. Qiang Wei
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Correspondence to Xing-yuan Wang.

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Wei, Q., Wang, Xy. & Hu, Xp. Chaos Synchronization in Complex Oscillators Networks with Time Delay via Adaptive Complex Feedback Control. Circuits Syst Signal Process 33, 2427–2447 (2014). https://doi.org/10.1007/s00034-014-9756-y

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