Synchronization between a Novel Integer-Order Hyperchaotic System and a Fractional-Order Hyperchaotic System Using Tracking Control

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


This manuscript investigates the synchronization between a novel integer order hyperchaotic system and a fractional order hyperchaotic system. The controllers are constructed using the technique of tracking controller and the stability theory of the linear fractional order system. Chaotic analysis of the introduced novel integer order hyperchaotic system is also investigated. The Lyapunov exponent, bifurcation diagram, Poincare section, Kaplan-Yorke dimension, equilibria and phase portraits are given to justify the chaotic nature of the system. Theoretical results are supported with the numerical simulations.


Novel integer-order hyperchaotic system Chaotic analysis Fractional-order hyperchaotic system Synchronization Stability theory Tracking control 


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Authors and Affiliations

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

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