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Combination-Combination Anti-Synchronization of Four Fractional Order Identical Hyperchaotic Systems

  • Ayub Khan
  • Shikha Singh
  • Ahmad Taher AzarEmail author
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 921)

Abstract

In this manuscript, we investigate the methodology of combination-combination anti-synchronization of four identical fractional order hyperchaotic system. The methodology is implemented by considering a 4D fractional order hyperchaotic system. The controllers are constructed using adaptive control technique to ensure the combination-combination anti - synchronization. The synchronization schemes such as chaos control problem, projective anti-synchronization, combination anti-synchronization becomes the special cases of combination-combination anti-synchronization. The combination - combination scheme can additionally enhances the security of transmission of message signals. The theoretical results and numerical simulations are given to justify the validity and feasibility of the proposed control technique.

Keywords

Fractional-order hyperchaotic system Combination-combination anti-synchronization Stability theory Active control 

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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Department of MathematicsNew DelhiIndia
  2. 2.Department of Mathematics, Jesus and Mary CollegeUniversity of DelhiNew DelhiIndia
  3. 3.Faculty of Computers and InformationBenha UniversityBenhaEgypt
  4. 4.School of Engineering and Applied SciencesNile University Campus6th of October City, GizaEgypt

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