Title :
Nonlinear dynamics of globally coupled oscillators: exact solutions
Author :
Pritula, G. ; Pritula, V. ; Vekslerchik, V.
Author_Institution :
NASU Usikov Inst. of Radiophys. & Electron., Kharkov
Abstract :
In the present paper we study analytically the nonlinear dynamics of globally coupled oscillators in the framework of order parameters approach. The main result is the exact analytical solution of the nonlinear system describing the behavior of the oscillators in the orthogonal reduction. We have obtained complete description of all possible phase portraits, the exact expressions for the attracting manifolds including the limit cycle and have derived analytical solutions for arbitrary initial data
Keywords :
bifurcation; nonlinear dynamical systems; oscillations; globally coupled oscillators; nonlinear system dynamics; order parameters approach; orthogonal reduction; Biological system modeling; Cells (biology); Chemistry; Coupling circuits; Frequency; Limit-cycles; Nonlinear dynamical systems; Nonlinear systems; Oscillators; Physics;
Conference_Titel :
Mathematical Methods in Electromagnetic Theory, 2006 International Conference on
Conference_Location :
Kharkiv
Print_ISBN :
1-4244-0490-8
DOI :
10.1109/MMET.2006.1689857
