Multi-switching Synchronization of Four Non-identical Hyperchaotic Systems

  • Ayub Khan
  • Mridula Budhraja
  • Aysha Ibraheem
Original Paper


The paper addresses a combination synchronization scheme achieved for different switches of three master and one slave hyperchaotic systems. An asymptotically stable synchronized state is derived for different switches of master systems and slave system by using nonlinear control method and Lyapunov stability criteria. To elaborate the presented scheme Pang–Liu hyperchaotic system, Zheng hyperchaotic system and Chen hyperchaotic system are considered as master systems and Newton–Leipnik hyperchaotic system is considered as slave system. Theoretical and graphical results converge to the same conclusion which proves the efficiency of the applied approach.


Multi-switching synchronization Hyperchaotic system Nonlinear control Lyapunov theory of stability 


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© Springer (India) Private Ltd., part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of MathematicsJamia Millia IslamiaNew DelhiIndia
  2. 2.Department of MathematicsShivaji CollegeNew DelhiIndia
  3. 3.Department of MathematicsUniversity of DelhiDelhiIndia

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