Cluster synchronization of starlike networks with normalized Laplacian coupling: master stability function approach

Pavel V. Kuptsov; Anna V. Kuptsova

doi:10.1117/12.2229780

21 April 2016 Cluster synchronization of starlike networks with normalized Laplacian coupling: master stability function approach

Pavel V. Kuptsov, Anna V. Kuptsova

Author Affiliations +

Proceedings Volume 9917, Saratov Fall Meeting 2015: Third International Symposium on Optics and Biophotonics and Seventh Finnish-Russian Photonics and Laser Symposium (PALS); 99173O (2016) https://doi.org/10.1117/12.2229780
Event: Saratov Fall Meeting 2015, 2015, Saratov, Russian Federation

Abstract

A generalized model of star-like network is suggested that takes into account non-additive coupling and nonlinear transformation of coupling variables. For this model a method of analysis of synchronized cluster stability is developed. Using this method three star-like networks based on Ikeda, predator-prey and Hénon maps are studied.

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Pavel V. Kuptsov and Anna V. Kuptsova "Cluster synchronization of starlike networks with normalized Laplacian coupling: master stability function approach", Proc. SPIE 9917, Saratov Fall Meeting 2015: Third International Symposium on Optics and Biophotonics and Seventh Finnish-Russian Photonics and Laser Symposium (PALS), 99173O (21 April 2016); https://doi.org/10.1117/12.2229780

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