DocumentCode
2490535
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
fYear
0
fDate
0-0 0
Firstpage
566
Lastpage
568
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Mathematical Methods in Electromagnetic Theory, 2006 International Conference on
Conference_Location
Kharkiv
Print_ISBN
1-4244-0490-8
Type
conf
DOI
10.1109/MMET.2006.1689857
Filename
1689857
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