DocumentCode :
1185073
Title :
Analysis of a ring of mutually coupled van der Pol oscillators with coupling delay
Author :
Kouda, Akihiro ; Mori, Shinsaku
Volume :
28
Issue :
3
fYear :
1981
fDate :
3/1/1981 12:00:00 AM
Firstpage :
247
Lastpage :
253
Abstract :
The structure and stability of the single modes of a ring consisting of three van der Pol oscillators with coupling delay are investigated by using the nonlinear mode analysis. It is found that two single modes are stable in some intervals containing \\Delta = \\pi(n\´- 1), n\´= 1, 2, 3,\\cdots ; \\Delta : delay time and that one of these modes becomes unstable for other values of A, and the relationships between the modes of oscillation and delay time are clarified. The numerical results are compared with the experimental measurements, and the satisfactory agreement is obtained between them.
Keywords :
Van der Pol oscillators; Combinatorial mathematics; Coupled mode analysis; Delay effects; Difference equations; Differential equations; Frequency; Mutual coupling; Nonlinear equations; Optical coupling; Ring oscillators;
fLanguage :
English
Journal_Title :
Circuits and Systems, IEEE Transactions on
Publisher :
ieee
ISSN :
0098-4094
Type :
jour
DOI :
10.1109/TCS.1981.1084964
Filename :
1084964
Link To Document :
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