Indirect synchronization control in a starlike network of phase oscillators

Pavel V. Kuptsov; Anna V. Kuptsova

doi:10.1117/12.2315772

26 April 2018 Indirect synchronization control in a starlike network of phase oscillators

Pavel V. Kuptsov, Anna V. Kuptsova

Proceedings Volume 10717, Saratov Fall Meeting 2017: Laser Physics and Photonics XVIII; and Computational Biophysics and Analysis of Biomedical Data IV; 107172G (2018) https://doi.org/10.1117/12.2315772
Event: Saratov Fall Meeting 2017, 2017, Saratov, Russian Federation

Abstract

A starlike network of non-identical phase oscillators is considered that contains the hub and tree rays each having a single node. In such network effect of indirect synchronization control is reported: changing the natural frequency and the coupling strength of one of the peripheral oscillators one can switch on an off the synchronization of the others. The controlling oscillator at that is not synchronized with them and has a frequency that is approximately four time higher then the frequency of the synchronization. The parameter planes showing a corresponding synchronization tongue are represented and time dependencies of phase differences are plotted for points within and outside of the tongue.

Citation Download Citation

Pavel V. Kuptsov and Anna V. Kuptsova "Indirect synchronization control in a starlike network of phase oscillators", Proc. SPIE 10717, Saratov Fall Meeting 2017: Laser Physics and Photonics XVIII; and Computational Biophysics and Analysis of Biomedical Data IV, 107172G (26 April 2018); https://doi.org/10.1117/12.2315772

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