Report
Penrose method for Kuramoto model with inertia and noise
| العنوان: | Penrose method for Kuramoto model with inertia and noise |
|---|---|
| المؤلفون: | Alexandrov, Artem, Gorsky, Alexander |
| سنة النشر: | 2024 |
| المجموعة: | Condensed Matter Nonlinear Sciences Physics (Other) |
| مصطلحات موضوعية: | Nonlinear Sciences - Adaptation and Self-Organizing Systems, Condensed Matter - Disordered Systems and Neural Networks, Condensed Matter - Statistical Mechanics, Nonlinear Sciences - Pattern Formation and Solitons, Physics - Biological Physics |
| الوصف: | 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. Comment: Revised version |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2402.06442 |
| رقم الانضمام: | edsarx.2402.06442 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |