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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
Tom
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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- 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.
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- 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.
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- 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.
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Bibliografia
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bwmeta1.element.baztech-article-BPZ5-0026-0007