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Tytuł artykułu

Anti-synchronization in different new chaotic systems via active nonlinear control

Autorzy
Treść / Zawartość
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, we discuss anti-synchronization between two identical new chaotic systems and anti-synchronization between another two identical new chaotic systems by active nonlinear control. The sufficient conditions for achieving the anti-synchronization of two new chaotic systems are derived based on Lyapunov stability theory. Numerical simulations are provided for illustration and verification of the proposed method.
Rocznik
Strony
229--242
Opis fizyczny
Bibliogr. 20 poz., rys., wzory
Twórcy
autor
  • Department of Mathematics, Zakir Husain Delhi College, University of Delhi, New Delhi-01
autor
  • Department of Mathematics, University of Delhi, New Delhi-07
Bibliografia
  • [1] L. M. Pecora and T. L Carroll: Synchronization in chaotic systems. PhysicalReview Letters, 64 (1990), 821-824.
  • [2] M. Lakshmanan and K. Murali: Chaos in nonlinear oscillators: controlling and synchronization, World Scientific, Singapore, 1996.
  • [3] S. K. Han, C. Kerrer and Y. Kuramoto: D-phasing and bursting in coupled neural oscillators. Physical Review Letters,75 (1995), 3190-3193.
  • [4] B. Blasius, A. Huppert and L. Stone: Complex dynamics and phase synchronization in spatially extended ecological system. Nature, 399 (1999), 354-359.
  • [5] M. Feki: An adaptive chaos synchronization scheme applied to secure communication. Chaos Solitons and Fractals, 18 (2003), 141-148.
  • [6] E. Ott, C. Grebogi and J. A. Yorke: Controlling chaos. Physical Review Letters, 64 (1990), 1196-1199.
  • [7] L. Tian, J. Xu and M. Sun: Chaos synchronization of the energy resource chaotic system with active control. Int. J. of Nonlinear Science, 3 (2007), 228-234.
  • [8] J. H. Park, S. M. Lee and O. M. Kwon: Adaptive synchronization of Genesio- Tesi chaotic system via a novel feedback control. Physical Letters A, 371 (2007), 263-270.
  • [9] J. Zhao and J. Lu: Using sampled data feedback control and linear feedback synchronization in a new hyper-chaotic system. Chaos Solitons and Fractals, 35 (2008), 376-382.
  • [10] J. H Park and O.M. Kwon: A novel criterion for delayed feedbackcontrol of time delay chaotic systems. Chaos Solitons and Fractals, 17 (2003), 709-716.
  • [11] X. Wu and J. Lu: Parameter identification and backstepping control of uncertain Lu system. Chaos Solitons and Fractals, 18 (2003) 721-729.
  • [12] H. T. Yau: Design of adaptive sliding mode controller for chaos synchronization with uncertaintities. Chaos Solitons and Fractals, 22 (2004), 341-347.
  • [13] Z. M. Ge and C. C. Chen: Phase synchronization of coupled chaotic multiple time scales systems. Chaos Solitons and Fractals, 20 (2004), 639-647.
  • [14] Y.W. WANG and Z.H. GUAN: Generalized synchronization of continuous chaotic systems. Chaos Solitons and Fractals, 27 (2006), 97-101.
  • [15] X. Zhang and H. Zhu: Anti-synchronization of two different hyper-chaotic systems via active and adaptive control. Int. J. of Nonlinear Science, 6 (2008), 216-223.
  • [16] T. Chiang, J. Lin, T. Liao and J. Yan: Anti-synchronization of uncertain unified chaotic systems with dead-zone nonlinearity. Nonlinear Analysis, 68 (2008), 2629-2637.
  • [17] J. Qiang: Projective synchronization of a new hyper-chaotic Lorenz system. PhysicalLetters A, 370 (2007), 40-45.
  • [18] Y. Jian-Ping and L. Chang-Pin: Generalized projective synchronization for the chaotic Lorenz system and the chaotic Chen system. J. Shanghai Univ., 10 (2006), 299-304.
  • [19] R. H. Li, W. Xu and S. Li: Adaptive generalized projective synchronization in different chaotic systems based on parameter identification. Physical Letters A, 367 (2007), 199-206.
  • [20] W. Hahn: The Stability of Motion, Springer-Verlag, New York, (1967).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-dc232fb9-7c26-4efc-94c6-4ef52e2dcd1e
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