Mode Analysis of a Two-Dimensional Low-Pass Multimode Oscillator

IEEE Transactions on Circuits and Systems

Volumn 23, Issue 9, 1976, Pages 517-530

  Endo, Tetsuro ^a   Mori, Shinsaku ^a  

^a KEIO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

OSCILLATORS;

EID: 0016999748     PISSN: 00984094     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCS.1976.1084257     Document Type: Article

References (17)

1. 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.
2. H. M. Aumann “Standing waves on a multimode ladder oscillator,” IEEE Trans. Circuit Theory, vol. CT-21, pp. 461–462, May 1974.
3. M. Toda, Shin-do-ron. Baihukan, 1968, p. 139.
4. N. Kryloff and N. Bogoliuboff, Introduction to Non-Linear Mechanics. Princeton, NJ: Princeton Univ. Press, 1949, ch. V, p. 55.
5. Ibid, ch. VII, p. 73.
6. B. van der Pol “An oscillation hysteresis in a triode generator with two degrees of freedom,” Phil. Mag., vol. 43, pp. 700–719, Apr. 1922.
7. “The nonlinear theory of electric oscillations,” Proc. IRE, vol. 22, pp. 1051–1086, Sept. 1934.
8. J. S. Schaffner “Simultaneous oscillations in oscillators,” IRE Trans. Circuit Theory, vol. CT-1, pp. 2–8, June 1954.
9. M. I. Disman and W. A. Edson “Simultaneous asynchronous oscillations in class-C oscillators,” Proc. IRE, vol. 46, pp. 895–903, May 1958.
10. A. C. Scott “Distributed multimode oscillators of one and two spatial dimensions,” IEEE Trans. Circuit Theory, vol. CT-17, pp. 55–60, Feb. 1970.
11. E. D. Parmentier “Lumped multimode oscillators in the continuum approximation,” IEEE Trans. Circuit Theory, vol. CT-19, pp. 142–145, Mar. 1972.
12. N. J. Zabusky, “A synergetic approach to problems of nonlinear dispersive wave propagation and interaction,” in Nonlinear Partial Differential Equations, W. F. Ames, Ed. New York: Academic Press, 1967, pp. 223–258.
13. A. C. Scott “Tunnel diode arrays for information processing and storage,” IEEE Trans. Syst., Man, Cybern., vol. SMC-1, pp. 267–275, July 1971.
14. D. A. Linkens, “Analytical solution of large numbers of mutually coupled nearly sinusoidal oscillators,” IEEE Trans. Circuits and Systems, vol. CAS-21, Mar. 1974.
15. F. R. Gantmacher, The Theory of Matrices. New York: Chelsea, vol. 1, pp. 285.
16. G. M. Utkin, “The condition of stability of simultaneous oscillations in multiple-tuned oscillatory systems,” Radio Eng. Elec. Phys., vol. 4, no. 12, pp. 59–73 1959.
17. I. G. Petrovskii, Lectures on Partial Differential Equations. New York: Wiley Interscience, 1955, §25.