Journal on Communications ›› 2014, Vol. 35 ›› Issue (12): 106-115.doi: 10.3969/j.issn.1000-436x.2014.12.013

• Paper • Previous Articles     Next Articles

Grid chaotic attractors based on arc tangent and its secure communication

Xue-zhi MAO1,2,Yong XU3,Jian-ping LIU1,Hui-quan MA1   

  1. 1 College of Mathematics and Information Technology,Hebei Normal University of Science and Technology,Qinhuangdao 066004,China
    2 Institute of Mathematics and Systems Science,Hebei Normal University of Science and Technology,Qinhuangdao 066004,China
    3 School of Science,Hebei University of Technology,Tianjin 300401,China
  • Online:2014-12-25 Published:2017-06-17
  • Supported by:
    The National Natural Science Foundation of China;The Key Disciplines and the Funds for Creative Research Groups of Hebei Normal University of Science and Technology

Abstract:

A smooth arc tangent function series approach for creating multi-directional multi-scroll grid chaotic attractors was proposed,including one-directional n-scroll,two-directional n×m-grid scroll,and three-directional n×m×l-grid scroll chaotic attractors.The chotic properties were studied by equilibrium points analysis,numerical simulation,Lyapunov exponents spectrum,bifurcation diagrams and Poincaré section diagrams.Synchronize the two grid multi-scroll chaotic systems with same structure by designing simple linear feedback control lows,which is applied to secure communication.The effectiveness of this method has been verified by simple analysis and numerical simulation.

Key words: chaos synchronization, secure communication, grid multi-scroll chaotic attractors, arc tangent function series

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