Penrose method for Kuramoto model with inertia and noise
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917652062011392 |
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| author | Alexandrov, Artem Gorsky, Alexander |
| author_facet | Alexandrov, Artem Gorsky, Alexander |
| contents | Using the Penrose method of instability analysis, we consider the synchronization transition in the Kuramoto model with inertia and noise with all-to-all couplings. Analyzing the Penrose curves, we identify the appearance of cluster and chimera states in the presence of noise. We observe that noise can destroy chimera and biclusters states. The critical coupling describing bifurcation from incoherent to coherent state is found analytically. To confirm our propositions based on the Penrose method, we perform numerical simulations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_06442 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Penrose method for Kuramoto model with inertia and noise Alexandrov, Artem Gorsky, Alexander Adaptation and Self-Organizing Systems Disordered Systems and Neural Networks Statistical Mechanics Pattern Formation and Solitons Biological Physics Using the Penrose method of instability analysis, we consider the synchronization transition in the Kuramoto model with inertia and noise with all-to-all couplings. Analyzing the Penrose curves, we identify the appearance of cluster and chimera states in the presence of noise. We observe that noise can destroy chimera and biclusters states. The critical coupling describing bifurcation from incoherent to coherent state is found analytically. To confirm our propositions based on the Penrose method, we perform numerical simulations. |
| title | Penrose method for Kuramoto model with inertia and noise |
| topic | Adaptation and Self-Organizing Systems Disordered Systems and Neural Networks Statistical Mechanics Pattern Formation and Solitons Biological Physics |
| url | https://arxiv.org/abs/2402.06442 |