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Generalized synchronization in networks with a complicated topology of interelement couplings

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Abstract

A concept of generalized synchronization is proposed. The concept is valid for both two unidirectionally or mutually coupled chaotic oscillators and networks with a complicated topology of interelement couplings and chaotic systems at the nodes. It is shown that the threshold of generalized synchronization formation in systems with 1.5 degrees of freedom can be diagnosed from the instant when the second (positive) Lyapunov exponent enters the domain of negative values. The results obtained are confirmed with the help of the nearest neighbor method. Physical mechanisms of generalized synchronization formation in such systems are revealed.

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Authors and Affiliations

  1. Chernyshevskii State University, Saratov, Astrakhanskaya ul. 83, Saratov, 410012, Russia

    A. A. Koronovskii, O. I. Moskalenko, A. E. Khramov & S. A. Shurygina

Authors
  1. A. A. Koronovskii
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  2. O. I. Moskalenko
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  3. A. E. Khramov
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  4. S. A. Shurygina
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Corresponding author

Correspondence to O. I. Moskalenko.

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Original Russian Text © A.A. Koronovskii, O.I. Moskalenko, A.E. Khramov, S.A. Shurygina, 2013, published in Radiotekhnika i Elektronika, 2013, Vol. 58, No. 5, pp. 507–517.

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Koronovskii, A.A., Moskalenko, O.I., Khramov, A.E. et al. Generalized synchronization in networks with a complicated topology of interelement couplings. J. Commun. Technol. Electron. 58, 459–468 (2013). https://doi.org/10.1134/S1064226913050057

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  • DOI: https://doi.org/10.1134/S1064226913050057

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