Journal on Communications ›› 2016, Vol. 37 ›› Issue (12): 142-155.doi: 10.11959/j.issn.1000-436x.2016280

• Academic communication • Previous Articles     Next Articles

Design of a tensile-type 3-D multi-scroll chaotic system and its application in secure communication

Jun-peng MA,Li-dan WANG(),Shu-kai DUAN,Jie-ning WU   

  1. Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, School of Electronic and Information Engineering, Southwest University, Chongqing 400715, China
  • Online:2016-12-25 Published:2017-05-15
  • Supported by:
    The National Natural Science Foundation of China;The National Natural Science Foundation of China;The Fundamental Research Funds for the Central Universities;The Fundamental Research Funds for the Central Universities

Abstract:

A kind of tensile-type 3-D multi-scroll chaotic attractor based on Chua's circuit was successfully designed. The chaos generation mechanism was studied by analyzing the symmetry and invariance, the existence of the dissipation, as well as the system equilibrium and stability. Then, some basic dynamical properties, such as Lyapunov exponents, fractal dimension, chaotic dynamical behaviors of the new chaotic system were introduced, either numerically or analytically. At the same time, the chaotic circuit of this system was realized by PSPICE. Finally, based on Lyapunov theorem and unidi-rectionally coupled method, the synchronization of the chaotic system has also been investigated. With this approach, the novel system can be applied to secure communication, which can achieve the purpose of covering specific signals. The experimental results are in agreement with numerical simulation results, which verifies the availability and feasibility of this method.

Key words: Chua's circuit, secure communication, multi-scroll attractors, circuit realization

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