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JACST Journal of Advanced Computer Science & Technology E-ISSN 2227-4332

Hybrid Synchronization of Lorenz-Stenflo System with Delay

Authors and Affiliations

  • Mohammad Ali Khan Garhbeta Ramsundar Vidyabhaban

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Abstract

This paper presents the hybrid-synchronization between two hyperchaotic
Lorenz-Stenflo system with delay. Here we design active controllers
so that two pairs of states are synchronized and other two pair
of states are anti-synchronized. Numerical results verify that both synchronization
and anti-synchronization can co-exist in the hyperchaotic
Lorenz stenflo system.

Author Biography

  • Mohammad Ali Khan, Garhbeta Ramsundar Vidyabhaban

    Applied Mathematics,

    Computer programming

References

[1] C. Huygens, Letter to de sluse, In: Oeuveres completes de Christian Huygens, Societe Hollandaise Des Sciences, Martinus Nijhoff, La Haye (1665). 248 Mohammad Ali Khan

[2] E. Ott, C. Grebogi and JA Yorke, Controlling chaos, Phys.Rev.Lett., 64 (1990)1196-1199.

[3] LM. Pecora and TL. Carroll, Synchronization in chaotic systems, Phys.Rev.Lett., 64 (1990)821-824.

[4] B. Schelter, M. Winterhaldar and J. Timmer, Phase synchronization and coherence analysis: sensitivity and specificity, International Journal of Bifurcation and Chaos, 17(2007)3551-3556.

[5] L. Kocarev and U. Parlitz, Generalized synchronization, predictability, an equivalence of unidirectionally coupled dynamical systems, Phys.Rev.Lett., 76 (1996)1816-1819.

View more references (10)

[6] M.A. Khan, S.N. Pal and S. Poria, Generalized anti-synchronization of different chaotic systems, Int. J. of Applied Mechanics and Engineering, 17(2012)83-89.

[7] R. Mainieri and J. Rahacek, Projective synchronization in three dimensional chaotic systems, Phys. Rev. Lett., 82 (1999)3042-3045.

[8] EM. Shahverdiev, S. Sivaprakasam and K.A. Shore, Lag synchronization in time delayed systems, Phys.Lett.A, 292(2002)320-324.

[9] A. Tarai, S.Poria and P. Chatterjee, Synchronization of bidirectionally coupled chaotic Chen’s system with delay, Chaos Solitons and Fractals., 41 (2009)643-647.

[10] A. Tarai, S.Poria and P. Chatterjee, Synchronization of generalized linearly bidirectionally coupled unified chaotic system, Chaos Solitons and Fractals., 40 (2009)885-892.

[11] M.A. Khan, Generalized synchronization of bidirectionally coupled chaotic systems via linear transformation, Int. J. of Basic and Applied Sciences,1(2012)270-282.

[12] M.A. Khan and S. Poria, Generalized synchronization of bidirectionally coupled chaotic systems, Int. J. of Applied Mathematical Research,1(2012)303-313.

[13] RH. Li, A special full-state hybrid-synchronization in symmetrical chaotic system, Applied Math.Comput.200(2008)319-321.

[14] K.S. Sudheer and M. Sabir, Hybrid synchronization of hyperchaotic Lu system, PRAMANA-journal of physics, 73(2009)781-786. Hybrid synchronization of Lorenz-Stenflo system with delay 249

[15] L. Stenflo, Generalized Lorenz equations for Acoustic-Gravity waves in the atmosphere, Physica Scripta, 53(1996)83-84.


How to Cite

Khan, M. A. (2012). Hybrid Synchronization of Lorenz-Stenflo System with Delay. Journal of Advanced Computer Science & Technology, 1(4), 240-249. https://doi.org/10.14419/jacst.v1i4.385