Chaos From Phase-locked Loops

IEEE Transactions on Circuits and Systems

Volumn 35, Issue 8, 1988, Pages 987-1003

  Endo, Tetsuro ^a   Chua, Leon O ^b  

^a NATIONAL DEFENSE ACADEMY   (Japan)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DEMODULATORS; ELECTRIC NETWORKS--THEORY; MATHEMATICAL TECHNIQUES--DIFFERENTIAL EQUATIONS;

CHAOTIC ATTRACTOR; COMPUTER GENERATOR POINKARE MAPS; MELNIKOV'S METHOD; PLL EQUATION;

PHASE LOCKED LOOPS;

EID: 0024054174     PISSN: 00984094     EISSN: None     Source Type: Journal    
DOI: 10.1109/31.1845     Document Type: Article

References (20)

1. H. Yamamoto, K. Hirade, and Y. Watanabe, “Carrier synchronizer for coherent detection of highspeed four-phase-shift-keyed signals”, IEEE Trans. Commun., vol. COM-20, pp. 803-808, Aug. 1972.
2. S. Kondo, M. Kuramoto, and K. Hirade, “Design of clock phase-lock loop for a PCM-TDMA satellite communication systems”, IECE Trans., vol. 53-B, pp. 254-261, May 1970.
3. C. H. Chen, “phase-locked loop bandwidth and signal-to-noise ratio requirements for deep-space communications”, IEEE Trans. Aerosp. Electron. Syst., vol. AES-7, pp. 988-994, Sept. 1971.
4. D. Richman, “Color-carrier reference phase synchronization accuracy in NTSC color television”, Proc. IRE, vol. 42, pp. 106-188, Jan. 1954.
5. I. E. Kliger and C. F. Olenberger, “Multiple target effects on monopulse signal processing”, IEEE Trans. Aerosp. Electron. Syst., vol. AES-11, pp. 795-804, Sept. 1975.
6. S. H. Khadhouri, S. R. Al-Araji, and J. E. Allow, “Fast switching frequency synthesizer employing adaptive phase locked loop”, IEEE Trans. Consumer Electron., vol. CE-31, pp. 680-686, Nov. 1985.
7. F. M. Gardner, “Angle modulation limits of a noise-free phase lock loop”, IEEE Trans. Commun., vol. COM-26, pp. 1129-1136, Aug. 1978.
8. R. R. Henry and F. F. Carden, “Phase error characteristics of asecond-order phase-lock loop”, IEEE Trans. Commun., vol. COM-23, pp. 687-688, June 1975.
9. Linear Databook, National Semiconductor Corp., Santa Clara, CA, pp. 9-35-9-39, Oct. 1978.
10. A. J. Viterbi, Principle of Coherent Communication. New York: McGraw-Hill, pp. 14-17, 1966.
11. F. M. Gardner, Phase-lock Techniques. New York: Wiley, 1966, Chaps. 4 and 5.
12. M. Odyniec and L. O. Chua, “Josephsonjunction circuit analysisvia integral manifolds”, IEEE Trans. Circuits Syst., vol. CAS-30, pp. 308-320, May 1983.
13. “Josephsonjunction circuit analysis via integral manifolds:Part II”, IEEE Trans. Circuits Syst., vol. CAS-32, pp. 34-45, Jan.1985.
14. F. M. Salam and S. S. Sastry, “Dynamics of the forced Josephsonjunction circuit: The region of chaos”, IEEE Trans. Circuits Syst., vol. CAS-30, pp. 784-796, Aug. 1985.
15. Z. D. Genchev, Z. G. Ivanov, and B. N. Todorov, “Effect of aperiodic perturbation on radio frequency model of Josephson junction”, IEEE Trans. Circuits Syst., vol. CAS-30, pp. 633-636, Sept.1983.
16. J. Gukenheimer and P. J. Holmes, Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields, Appl. Math. Sci. 42. New York: Springer Verlag, 1983.
17. F. M. Salam, J. E. Marsden, and P. P. Varaiya, “Chaos and Arnolddiffusion in dynamical systems”, IEEE Trans. Circuits Syst., vol. CAS-30, pp. 697-708, Sept. 1983.
18. T. S. Parker and L. O. Chua, “Chaos: A tutorial for engineers”, Proc. IEEE, pp. 982-1008, Aug. 1987.
19. “INSITE-A software toolkit for the analysis of nonlinear systems”, Proc. IEEE, pp. 1081-1089, Aug. 1987.
20. T. Endo and K. Tada, “Analysis of the pull-in range of phase-locked loops by the Galerkin's method”, IECE Trans., vol. J68-B, pp.236-243, Feb. 1985.