Mode Analysis of a Ring of a Large Number of Mutually Coupled van der Pol Oscillators

IEEE Transactions on Circuits and Systems

Volumn 25, Issue 1, 1978, Pages 7-18

  Endo, Tetsuro ^a,b   Mori, SHlNSAKU ^a  

^a KEIO UNIVERSITY   (Japan)

^b NATIONAL DEFENSE ACADEMY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC NETWORKS, NONLINEAR - ANALYSIS;

VANDER POL OSCILLATORS;

OSCILLATORS;

EID: 0017913699     PISSN: 00984094     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCS.1978.1084380     Document Type: Article

References (16)

1. G. N. Rapoport, “Mutual synchronization of similar self-oscillators with nearly equal powers,” Radiotekhnika, vol. 6, p. 53, 1951.
2. V. N. Parygin, “Mutual synchronization of three coupled self-oscillators in the case of weak coupling,” Raditekhnika Eleclronika, vol. 1, p. 197, 1956.
3. T. Suezaki and S. Mori, “Mutual synchronization of two oscillators,” IECE, vol. 48, pp. 1551–1557, Sept. 1965 (in Japanese).
4. R. J. P. de Figueiredo and C. Y. Chang, “On the boundedness of solutions of classes of multidimensional, nonlinear autonomous, systems,” SIAM J. Appl. Math., vol. 17, pp. 672–680, July 1969.
5. J. K. Aggawal and C. G. Richie, “On coupled van der Pol oscillators,” IEEE Trans. Circuit Theory, vol. CT-13, pp. 465–466, Dec. 1966.
6. A. C. Scott, “Tunnel diode arrays for information processing and strage,” IEEE Trans. Syst., Man, Cybern., vol. SMC-1, pp. 267–275, July 1971.
7. D. A. Likens, “Analytical solution of large numbers of mutually-coupled nearly-sinusoidal oscillators,” IEEE Trans. Circuits and Systems, vol. CAS-21, pp. 294–300, Mar. 1974.
8. B. Robertson-Dunn and D. A. Linkens, “A mathematical model of the slow-wave electrical activity of the human small intestine,” J. Med Biol. Eng., pp. 750–757, Nov. 1974.
9. D. A. Linkens, “Mathematical model of the colorectal myoelectrical activity in humans,” IEEE Trans. Biomed Eng., vol. BME-23, pp. 101–110, Mar. 1976.
10. T. Endo and S. Mori, “Mode analysis of a multimode ladder oscillator,” IEEE Trans. Circuits and Systems, vol. CAS-23, pp. 100–113, Feb. 1976.
11. —, “Mode analysis of a two-dimensional low-pass multimode oscillator,” IEEE Trans. Circuits and Systems, vol. CAS-23, pp. 517–530, Sept. 1976.
12. C. W. Dodd and S. C. Gupta, “Solution of some partial differential equations using state space techniques,” J. Franklin Institute, vol. 287, pp. 305–318, Apr. 1969.
13. N. Kryloff and N. Bogoliuboff, Introduction to Nonlinear Mechanics. Princeton, NJ: Princeton Univ. Press, 1949.
14. I. G. Petrovskii, Lectures on Partial Differential Equations. New York: Wiley-Interscience, 1955, par. 25.
15. F. R. Gantmacher, The Theory of Matrices. New York: Chelsea, vol. 1, p. 285.
16. A. C. Scott, “Distributed multimode oscillators of one and two spatial dimensions,” IEEE Trans. Circuit Theory, vol. CT-17, pp. 55–60, Feb. 1970.