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Generalized anti-synchronization of different chaotic systems

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Języki publikacji
EN
Abstrakty
EN
In this paper, we propose the theory of generalized anti-synchronization of two chaotic systems via linear transformations. We also propose the theory for generalized anti-synchronization of two non-autonomous chaotic systems. The functional relationship between the driving system and driven system after generalized anti-synchronization can be predicted by our theory. We discuss our theory taking a chaotic dynamo model and a four dimensional hyper-chaotic Chen and Lu system as examples. Finally, simulation results are presented to show the efficiency of our method.
Rocznik
Strony
83--99
Opis fizyczny
Bibliogr. 22 poz., wykr.
Twórcy
autor
autor
autor
  • Department of Mathematics, Garhbeta Ramsundar Vidyabhaban Paschim Medinipur, West Bengal, INDIA, mdmaths@gmail.com
Bibliografia
  • Chen S. and Lu J. (2002): Synchronization of an uncertain unified chaotic system via adaptive control. - Chaos, Soliton and Fractals, vol.14, No.4, pp.643.
  • Chen A., Lu J. and Yu S. (2006): Generating hyperchaotic Lu attractor via state feed back control. - Physica A. vol.364, pp.103-110.
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  • Guo-Hui Li and Shi-Ping Zhou (2006): An observed based anti-synchronization. - Chaos, Solitons and Fractals, vol.29, No.2, pp.495-498.
  • Hu J., Chen S. and Chen L. (2005): Adaptive control for anti-synchronization of Chu's chaotic system. - Physics Letters A., vol.339, pp.455-460.
  • Kim C.-M., Rim S., Kye W.-H., Ryu J.-W. and Park Y.-J. (2003): Anti synchronization of chaotic oscillators. - Physics Letters A. vol.320, No.1, pp.39-46.
  • Kocarev L. and Parlitz U. (1996): Generalized synchronization, predictability, an equivalence of unidirectionally coupled dynamical systems. - Phys. Rev. Lett. vol.76, pp.1816-1819.
  • Li-Guo-Hui (2005): Anti-synchronization of Colpitts oscillators using active control. - Chaos, Soliton and Fractals, vol.26, No.1, pp.87-93.
  • Li W., Chen X. and Zhiping S. (2008): Anti-synchronization of two different chaotic systems. - Physica A. vol.387, pp.3747-3750.
  • Mainieri R. and Rehacek J. (1999): Projective synchronization in three dimensional chaotic systems. - Phys. Rev. Lett., vol.82, pp.3042-3045.
  • Mossa M. Al-Sawalha and Noorani M.S.M. (2009): Anti-synchronization of two hyperchaotic systems via nonlinear control. - Commun Nonlinear Sci Numer Simulat., vol.14, pp.3402-3411.
  • Ott E., Grebogi C. and Yorke J.A. (1990): Controlling chaos. - Physical Review Letter., vol.64, pp.1196-1199.
  • Park J. (2005): Adaptive synchronization of hyperchaotic Chen system with uncertain parameters. - Chaos Solitons Fractals, vol.26, pp.959-964.
  • Pazo D., Zaks M.A. and Kurths J. (2003): Role of unstable periodic orbit in phase and lag synchronization between coupled chaotic oscillators. - Chaos, vol.13, No.1, pp309-318.
  • Pecorra L.M. and Carrol T.L. (1990): Synchronization in chaotic systems. - Phys. Rev. Lett., vol.64, No.8, pp.821-824.
  • Rulkov N.F., Sushchik M.M., Tsimring L.S. and Abarbanel H.D.I (1995): Generalized synchronization of chaos in directionally coupled chaotic systems. - Phys. Rev. E. vol.51, pp.980-994.
  • Sanchez E.N., Perez J.P., Martinez M. and Chen G. (2002): Chaos stabilization: an inverse optimal control approach. - Latin Am. Appl. Res: Int. J., vol.32, pp.111.
  • Skeldon A. and Moroz I. (1998): On a codimension-three bifurcation arising in a simple dynamo model. - Physica D. vol.117, pp.117-127.
  • Tarai A., Poria S. and Chatterjee P. (2009): Synchronization of generalised linearly bidirectionally coupled unified chaotic system. - Chaos, Soliton and Fractals, vol.40, No.30, pp885-892.
  • Yang T. and Chua L.O. (1999): Generalized synchronization of chaos via linear transformations. - International Journal of Bifurcation and Chaos, vol.9, No.1, pp.215-219.
  • Yuxia L., Wallace K. and Chen G. (2005): Generating hyperchaos via state feedback control. - Int. J. Bifurct Chaos, vol.15, pp.3367-3375.
  • Zhang Y. and Sun J. (2004): Chaotic synchronization and anti-synchronization based on suitable separation. - Physics Letters A.vol.330, pp.442-447.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ5-0026-0007
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