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Tytuł artykułu

Reduced order hybrid function projective combination synchronization of three Josephson junctions

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, we examine reduced order hybrid function projective combination synchronization of three chaotic systems consisting of: (i) two third chaotic Josephson junctions as drives and one second order chaotic Josephson junction as response system; (ii) one third order chaotic Josephson junction as the drive and two second order chaotic Josephson junctions as the slaves using active backstepping technique. The analytic results confirm the realization of reduced order hybrid function projective combination synchronization using active backstepping technique. Numerical simulations are performed to validate the analytical results.
Rocznik
Strony
99--113
Opis fizyczny
Bibliogr. 17 poz., rys., tab.
Twórcy
autor
  • Department of Physics, University of Agriculture, Abeokuta, Nigeria
autor
  • Department of Physics, University of Lagos, Lagos, Nigeria
autor
  • Department of Physics, Federal University of Technology, Akure, Ondo State, Nigeria
  • Department of Physics, University of Agriculture, Abeokuta, Nigeria
Bibliografia
  • [1] F. A. Breve, L. Zhao, M. G. Quiles and E. E. N. Macau: Chaotic phase synchronization and desynchronization in an oscillator network for object selection.Neural Netw., 22(5-6), (2009), 728-737.
  • [2] H. Y. Du, Q. S. Zeng and C. G. Wang: Function projective synchronization of different chaotic systems with uncertain parameters. Physics Letters A, 372(33), (2008), 5402-5410.
  • [3] W. I. Guo: Lag synchronization of complex networks via pinning control. Nonlinear Anal.: Real World Appl., 12 (2011), 2579-2585.
  • [4] M. F. Hu, Y. Q. Yang, Z. Y. Xu and L. X. Guo: Hybrid projective synchronization in a chaotic complex nonlinear system. Mathematics and Computers in Simulation, 79(3), (2008), 449-457.
  • [5] Z. Li and W. Xu: Hybrid function projective synchronization of chaotic systems with fully unknown parameters. Studies in Mathematical Sciences, 2(1), (2011), 80-87.
  • [6] R. Z Luo, Y. L. Wang And S. C. Deng: Combination synchronization of three classic chaotic systems using active backstepping design. Chaos, 21 (2011), 043114.
  • [7] R. Mainieri and J. Rehacek: Projective synchronization in three-dimensional chaotic systems. Phys Rev Lett., 82(15), (1999), 3042-3045.
  • [8] K. S. Ojo, A. N. Njah and S. T. Ogunjo: Comparison of backstepping and modified active control in projective synchronization of chaos in an extended bonhoffer van der pol oscillator. Pramana, 80(5), (2013), 825-835.
  • [9] K. S Ojo and S. T Ogunjo: Synchronization of 4d rabinovich hyperchaotic system for secure communication. J. of Nigerian Association of Mathematical Physics, 21 (2012), 35-40.
  • [10] K. S. Ojo, S. T. Ogunjo and O. Williams: Hybrid synchronization and tracking control of 5d hyperchaotic system using active control techniques. Cybernetics and Physics, 2(1), (2013), 31-36.
  • [11] L. M. Pecora and T. L. Carroll: Synchronization in chaotic systems. Phys.Rev. Lett., 64 (1990), 821-824.
  • [12] L. Runzi and W. Yinglan: Finite-time stochastic combination synchronization of three different chaotic systems and its application in secure communication.Chaos, 22 (2012), 023109.
  • [13] X. Tian, J. Zhang and Y. Yang: Synchronizing chaotic systems using backstepping design. Chaos, Solitons and Fractals, 16 (2003), 37-45.
  • [14] J. W. Wang and A. M. Chen: A new scheme to projective synchronization of fractional-order chaotic systems. Chin. Phys. Lett., 27(11), (2010), 110501.
  • [15] Z. Wu and X. Fu: Combination synchronization of three different order nonlinear systems using active backstepping design. Nonlinear Dyn., 73 (2013), 863-187.
  • [16] X. Xu: Generalized function projective synchronization of chaotic systems for secure communication. EURASIP J. on Advances in Signal Processing, 14 (2011), 1-11.
  • [17] Y. Chen and X. Li: Function projective synchronization between two identical chaotic systems. Int. J. Mod. Phys. C., 18(5), (2007), 883-888
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-a9bd9cb7-315e-4c7a-8313-1af5be43402e
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