| Method of Merging Models to Analyze the Synchronization Modes of Coupled Oscillators |
|
 |
|
|
| Authors |
| | Rusakov S.G. |
| | Gourary M.M. |
| Date of publication |
| | 2022 |
| DOI |
| | 10.31114/2078-7707-2022-2-2-8 |
|
| Abstract |
| | The problems of analyzing the synchronization modes of coupled oscillators using Kuramoto models are considered. The method of sequential merging of oscillator models has been developed to find steady state solution of Kuramoto equations for coupled oscillators. The new approach is based on the transformation of a model of pair of synchronized oscillators into single Kuramoto oscillator. Analytical expressions defining the sequence of merging operations and the transform of coupling functions are obtained. The algorithm for merging procedure is constructed. The results of numerical experiments are presented. The proposed technique is an effective alternative to homotopy-based methods for analyzing ensembles of synchronized oscillators. |
| Keywords |
| | coupled oscillators, Kuramoto model, phase macromodels, synchronization, coupling functions, circuit simulation. |
| Library reference |
| | Rusakov S.G., Gourary M.M. Method of Merging Models to Analyze the Synchronization Modes of Coupled Oscillators // Problems of Perspective Micro- and Nanoelectronic Systems Development - 2022. Issue 2. P. 2-8. doi:10.31114/2078-7707-2022-2-2-8 |
| URL of paper |
| | http://www.mes-conference.ru/data/year2022/pdf/D016.pdf |
