Integrable order parameter dynamics of globally coupled oscillators.

Autor: G M Pritula, V I Prytula, O V Usatenko
Předmět:
Zdroj: Journal of Physics A: Mathematical & Theoretical; 2/12/2016, Vol. 49 Issue 6, p1-1, 1p
Abstrakt: We study the nonlinear dynamics of globally coupled nonidentical oscillators in the framework of two order parameter (mean field and amplitude-frequency correlator) reduction. The main result of the paper is the exact solution of a corresponding nonlinear system on a two-dimensional invariant manifold. We present a complete classification of phase portraits and bifurcations, obtain explicit expressions for invariant manifolds (a limit cycle among them) and derive analytical solutions for arbitrary initial data and different regimes. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index