Density of instantaneous frequencies in the Kuramoto-Sakaguchi model

Author(s)

da Fonseca, Julio D. ; Leonel, Edson D. ; Medrano-T, Rene O.

• Document type: Journal article
• Source: CHAOS SOLITONS & FRACTALS; v. 172, p. 12-pg., 2023-06-01.

Abstract

We obtain a formula for the statistical distribution of instantaneous frequencies in the Kuramoto-Sakaguchi model. This work is based on the Kuramoto-Sakaguchi's theory of globally coupled phase oscillators, which we review in full detail by discussing its assumptions and showing all steps behind the derivation of its main results. Our formula is a stationary probability density function with a complex mathematical structure, is consistent with numerical simulations and gives a description of the stationary collective states of the Kuramoto-Sakaguchi model. (AU)

• FAPESP's process: 19/12930-9 - Statistical properties of instantaneous frequencies in the Kuramoto model
• Grantee: Julio César David da Fonseca
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• FAPESP's process: 19/14038-6 - Investigation of dynamical properties in nonlinear systems
• Grantee: Edson Denis Leonel
• Support Opportunities: Regular Research Grants