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Scientific paper ID 1035 : 2014/3
![]() RESEARCH ON THE STABILITY OF SYNCHRONIZATION IN CONNECTED CHAOTIC SYSTEMS
Galina Cherneva The synchronization in connected chaotic systems haves fundamental importance in the application of chaotic fluctuations in different areas of the technics: when transmitting of managing influences, in systems for transmission of information, etc. Due to the nature and characteristics of chaotic processes, however, the complete synchronization of the two systems, if its are identical, it is difficult realizable.
In this work is proposed a criterion for stability of synchronization in related identical chaotic systems. Its application is illustrated at synchronization on systems of third order. хаотични системи фазово пространство хаотичен атрактор синхронизацияchaotic systems phase space chaotic attractor synchronizationGalina Cherneva BIBLIOGRAPHY [1] Pecora L M and Carroll T L. Synchronization in chaotic systems, Phus. Rev. Lett., 64, r. 821-823, 1990 ( [1] Pecora L M and Carroll T L. Synchronization in chaotic systems, Phуs. Rev. Lett., 64, р. 821-823, 1990 ) [2] Pecora, L. M. & Carroll, T. L. Driving systems with chaotic signals," Phys. Rev. Lett., A44, 2374-2383. 1991 [3] Kolumban G., M.P. Kennedy, L.O. Chua., The role of synchronisation in digital communications using chaos - part II : Chaotic modulation and chaotic synchronisation, IEEE Transactions on Circuits and Systems - I : fundamental theory and applications, Vol. 45, No. 11, 1998 [4] Matsumoto T., Chua L.O. Journal of circuits, systems and computers. Special Issue on Chua.s Circuit: Paradigm for Chaos. 1993. V. 3(2). [5] Cincotti S., Teglio A. Generalized synchronization on linear manifold in coupled non-linear systems // IEEE Transactions on Circuitsand Systems. Fundamental Theory and Applications. 2002. Vol. 49, No.3. р. 81 -85. [6] Cherneva G. A Mathcad Based Examination of Bifurcations in Third Order Nonlinear Circuit . Conference “Advanced Aspects of Theoretical Electrical Engineering”. The days of science of the Technical University of Sofia. Sozopol’10, 19– 22.09.10, рp.22-26. |