Scientific Research and Essays

  • Abbreviation: Sci. Res. Essays
  • Language: English
  • ISSN: 1992-2248
  • DOI: 10.5897/SRE
  • Start Year: 2006
  • Published Articles: 2739


Global chaos synchronization for four-scroll attractor by nonlinear control

E. M. Elabbasy1*, H. N. Agiza2 and M. M. El-Dessoky3
  Mathematics Departement, Faculty of science, Mansoura University, Mansoura, 35516, Egypt.
Email: [email protected]

  •  Accepted: 14 December 2006
  •  Published: 31 December 2006



This paper investigates the global synchronization method of two identical systems and two different chaotic systems. The proposed method is effective and convenient to synchronize two identical systems and two different chaotic systems by using nonlinear control functions. The method has been applied successfully to make two identical four-scroll attractor and also two different chaotic systems; four-scroll attractor and Lorenz system globally synchronized. Numerical simulations are given to validate the proposed synchronization methods.


Key words: Chaotic system, global synchronization, four-scroll attractor,Lorenz system, Lyapunov function.