• Complete switched modified function projective synchronization of a five-term chaotic system with uncertain parameters and disturbances

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    • Keywords

       

      Five-term three-dimensional chaotic system; complete switched modified function projective synchronization; adaptive control; uncertain parameters; disturbances.

    • Abstract

       

      A five-term three-dimensional (3D) autonomous chaotic system with an exponential nonlinear term is reported in this paper. Basic dynamical behaviours of the chaotic system are further investigated. Then a new synchronization phenomenon, complete switched modified function projective synchronization (CSMFPS), for this novel five-term chaotic system with uncertain parameters and disturbances is investigated. This paper extends previous work, where CSMFPS of chaotic systems means that all the state variables of the drive system synchronize with different state variables of the response system. As the synchronization scheme has many combined forms, it is a promising type of synchronization and can provide greater security in secure communication. Based on Lyapunov stability theory, a robust adaptive controller is contrived to acquire CSMFPS, parameter identification and suppress disturbances simultaneously. Finally, the Lorenz system and the new five-term chaotic system are taken as examples and the corresponding numerical simulations are presented to verify the effectiveness and feasibility of the proposed control scheme.

    • Author Affiliations

       

      Fei Yu1 2 Chunhua Wang1 Qiuzhen Wan1 Yan Hu1

      1. College of Information Science and Engineering, Hunan University, Changsha 410082, People’s Republic of China
      2. School of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha 410004, People’s Republic of China
    • Dates

       
  • Pramana – Journal of Physics | News

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