Hybrid synchronisation of vallis chaotic systems using nonlinear active control

 
 
 
  • Abstract
  • Keywords
  • References
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  • Abstract


    In this paper, hybrid synchronisation of Vallis chaotic systems using a nonlinear control technique is proposed. Vallis system represents the principal quantitative features of the El-Nino Southern Oscillation (ENSO) phenomenon. A nonlinear active control technique is used for hybrid synchronisation. Control laws are designed by using the sum of the relevant variables of the both mater and slave systems. Required Lyapunov stability condition is devised using Lyapunov stability theory. Numerical simulation results reflect the successful achievement of the proposed objectives. MATLAB is used for simulation.

     

     


  • Keywords


    Chaotic System, ENSO, hybrid synchronisation, lyapunov stability Theory, vallis System.

  • References


      [1] Pecora LM & Carrol TL, “Synchronisation of chaotic systems”, Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol.25, No.9, (2015).

      [2] Li C, Chen Q & Huang T, “Coexistence of anti-phase and complete synchronisation in coupled Chen system via single variable”, Chaos, Solitons and Fractals, Vol.38, (2008), pp.461-464.

      [3] Sudheer KS & Sabir M, “Hybrid synchronisation of hyperchaotic Chen system”, National Conference on Nonlinear Systems Dynamics, Saha Institute of Nuclear Physics, (2009).

      [4] Sudheer KS & Sabir M, “Hybrid synchronisation of hyperchaotic Lu system”, Pramana J. Phys., Vol.73, No.4, (2011), pp.781-786.

      [5] Sundarapandian V & Karthikeyan R, “Hybrid chaos synchronisation of hyperchaotic Lorenz and hyperchaotic Chen systems by active nonlinear control”, Int. J. Electr. Power Eng., Vol.5, No.5, (2011), pp.186-192.

      [6] Sundarapandian V & Rasappan S, “Hybrid synchronisation of Arneodo and Rossler chaotic systems by active nonlinear control”, LNICST, Vol.84, No.1, (2012), pp.73-82..

      [7] Vallis GK, “El Nino: a chaotic dynamical system?”, Science, Vol. 232, (1986), pp.243-245.

      [8] Valli GK, “Conceptual models of El Nino and the Southern Oscillation”, J Geophys Res Oceans, Vol.93, No.11, (1988).

      [9] Samantaray J, Singh PP & Roy BK, “Anti-synchronisation of Vallis system using Sliding Mode Control”, J. Control Instrumentation, Vol.5, No.3, (2014), pp.22-27.

      [10] Garay BM & Indig B, “Chaos in Vallis’ asymmetric Lorenz model for El Nino”, Chaos, Solitons & Fractals, Vol.75, (2015), pp.253-262.

      [11] Slotine JE & Li W, Applied Nonlinear Control, New Jersey: Prentice Hall, (1991).


 

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Article ID: 11834
 
DOI: 10.14419/ijet.v7i2.21.11834




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