Transition to synchrony in degree-frequency correlated Sakaguchi-Kuramoto model
| Autor: | Prosenjit Kundu, Pinaki Pal, Chittaranjan Hens, Pitambar Khanra |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
education.field_of_study
Kuramoto model Population Angular velocity Complex network Degree distribution 01 natural sciences Nonlinear Sciences - Adaptation and Self-Organizing Systems Synchronization 010305 fluids & plasmas Control theory 0103 physical sciences Thermodynamic limit Exponent Statistical physics 010306 general physics education Mathematics |
| Zdroj: | Physical Review E. 96 |
| ISSN: | 2470-0053 2470-0045 |
| Popis: | We investigate transition to synchrony in degree-frequency correlated Sakaguchi-Kuramoto (SK) model on complex networks both analytically and numerically. We analytically derive self-consistent equations for group angular velocity and order parameter for the model in the thermodynamic limit. Using the self-consistent equations we investigate transition to synchronization in SK model on uncorrelated scale-free (SF) and Erd\H{o}s-R\'enyi (ER) networks in detail. Depending on the degree distribution exponent ($\gamma$) of SF networks and phase-frustration parameter, the population undergoes from first order transition (explosive synchronization (ES)) to second order transition and vice versa. In ER networks transition is always second order irrespective of the phase-lag parameter. We observe that the critical coupling strength for the onset of synchronization is decreased by phase-frustration parameter in case of SF network where as in ER network, the phase-frustration delays the onset of synchronization. Extensive numerical simulations using SF and ER networks are performed to validate the analytical results. An analytical expression of critical coupling strength for the onset of synchronization is also derived from the self consistent equations considering the vanishing order parameter limit. Comment: 8 pages, 6 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|