Averaging method via all numerical computation applied to weakly-nonlinear coupled oscillator systems

Author

Hasegawa, Akio ; Endo, Tetsuro

Author_Institution

Dept. of Electron. & Commun. Eng., Meiji Univ., Kawasaki, Japan

Volume

5

fYear

2000

fDate

2000

Firstpage

117

Abstract

This paper proposes a totally-numerical method of averaging without derivation of the averaged equation. To check this method, we apply this algorithm to three and four asymmetrical coupled van der Pol oscillator systems which have been analyzed by conventional method of averaging in our previous paper. Comparing these two results, we have confirmed the validity of this method. The final purpose for which we develop this numerical algorithm is to analyze a large scale coupled oscillator systems via the averaging method in the near future

Keywords

coupled circuits; nonlinear network analysis; numerical analysis; oscillators; relaxation oscillators; asymmetrical coupled van der Pol oscillator systems; averaging method; large scale coupled oscillator systems; numerical computation; weakly-nonlinear coupled oscillator systems; Aging; Algorithm design and analysis; Couplings; Eigenvalues and eigenfunctions; Large-scale systems; Nonlinear equations; Ring oscillators; Steady-state; Vectors; Voltage-controlled oscillators;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2000. Proceedings. ISCAS 2000 Geneva. The 2000 IEEE International Symposium on

Conference_Location

Geneva

Print_ISBN

0-7803-5482-6

Type

conf

DOI

10.1109/ISCAS.2000.857377

Filename

857377