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A Diagnostic Technique for Generalized Synchronization in Systems with a Complex Chaotic Attractor Topology

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Abstract

A diagnostic technique is proposed for the mode of generalized synchronization in systems with a complex chaotic attractor topology based on consideration of tubes of trajectories in the phase space of interacting systems. The method functionality is tested by the numerical simulation of two mutually coupled modified Lorentz systems: one in the chaotic state, and another in the hyperchaotic state. The results are compared to the data obtained by calculating the Lyapunov exponent spectrum and show good agreement.

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Authors and Affiliations

  1. Saratov State University, Saratov, 410012, Russia

    O. I. Moskalenko, V. A. Khanadeev & A. A. Koronovskii

Authors
  1. O. I. Moskalenko
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  2. V. A. Khanadeev
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  3. A. A. Koronovskii
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Correspondence to O. I. Moskalenko.

Additional information

Original Russian Text © O.I. Moskalenko, V.A. Khanadeev, A.A. Koronovskii, 2018, published in Pis’ma v Zhurnal Tekhnicheskoi Fiziki, 2018, Vol. 44, No. 19, pp. 87–95.

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Moskalenko, O.I., Khanadeev, V.A. & Koronovskii, A.A. A Diagnostic Technique for Generalized Synchronization in Systems with a Complex Chaotic Attractor Topology. Tech. Phys. Lett. 44, 894–897 (2018). https://doi.org/10.1134/S1063785018100115

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  • DOI: https://doi.org/10.1134/S1063785018100115

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