Generalized synchronization in the complex network: theory and applications to epileptic brain

Olga I. Moskalenko; Anatoly A. Pivovarov; Alexey N. Pavlov; Alexey A. Koronovskii; Marina V. Khramova; Alexander E. Hramov

doi:10.1117/12.2229737

21 April 2016 Generalized synchronization in the complex network: theory and applications to epileptic brain

Olga I. Moskalenko, Anatoly A. Pivovarov, Alexey N. Pavlov, Alexey A. Koronovskii, Marina V. Khramova, Alexander E. Hramov

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Proceedings Volume 9917, Saratov Fall Meeting 2015: Third International Symposium on Optics and Biophotonics and Seventh Finnish-Russian Photonics and Laser Symposium (PALS); 991723 (2016) https://doi.org/10.1117/12.2229737
Event: Saratov Fall Meeting 2015, 2015, Saratov, Russian Federation

Abstract

Generalized synchronization in complex networks with chaotic dynamical systems being in their nodes has been studied. The synchronous regime is shown to be detected by the sign-change of the second positive Lyapunov exponent of the network or by the nearest neighbor method. The same method is shown to be applied for the detection of the synchronous regime between the different fields of epileptic brain.

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Olga I. Moskalenko, Anatoly A. Pivovarov, Alexey N. Pavlov, Alexey A. Koronovskii, Marina V. Khramova, and Alexander E. Hramov "Generalized synchronization in the complex network: theory and applications to epileptic brain", Proc. SPIE 9917, Saratov Fall Meeting 2015: Third International Symposium on Optics and Biophotonics and Seventh Finnish-Russian Photonics and Laser Symposium (PALS), 991723 (21 April 2016); https://doi.org/10.1117/12.2229737

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