Van der Pol and Chaos

IEEE Transactions on Circuits and Systems

Volumn 33, Issue 10, 1986, Pages 974-980

  Kennedy, Michael Peter ^a   Chua, Leon O ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC NETWORKS, NONLINEAR - COMPUTER SIMULATION;

CHAOS; PERIOD DOUBLING TRANSITION; RELAXATION OSCILLATOR;

OSCILLATORS, RELAXATION;

EID: 0022790629     PISSN: 00984094     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCS.1986.1085855     Document Type: Article

References (12)

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3. L. Q. Pei, F. Guo, S. X. Wu, and L. O. Chua, “Experimental confirmation of the period-adding route to chaos in a nonlinear circuit,” IEEE Trans. Circuits Syst., vol. CAS-33, pp. 438–442, Apr. 1986.
4. K. Kaneko, “On the period-adding phenomena at the frequency locking in a one-dimensional mapping,” Prog. Theor. Phys., vol. 68, no. 2, pp. 669–672, Aug. 1982.
5. B. Van der Pol and J. Van der Mark, “Frequency demultiplication,” Nature, vol. 120, no. 3019, pp. 363–364, Sept. 10, 1927.
6. L. O. Chua and P. M. Lin, Computer-Aided Analysis of Electronic Circuits: Algorithms and Computational Techniques. Englewood Cliffs, NJ: Prentice-Hall, 1975.
7. L. O. Chua and A. C. Deng, “NOnlinear ELectronics (NOEL) package 4: Nonlinear transient analysis,” ERL Memorandum M86, Univ. California, Berkeley, 1986.
8. K. Kaneko, “Similarity structure and scaling property of the period-adding phenomena,” Prog. Theor. Phys., vol. 69, no. 2, pp. 403–414, Feb. 1983.
9. K. Kaneko, “Transition from torus to chaos accompanied by frequency lockings with symmetry breaking,” Prog. Theor. Phys., vol. 69, no. 5, pp. 1427–1442, May 1983.
10. L. O. Chua, Introduction to Nonlinear Network Theory. New York: McGraw-Hill, 1969.
11. R. W. Newcomb and S. Sathyan, “An RC op amp chaos generator,” IEEE Trans. Circuits Syst, vol. CAS-30, pp. 54–56, Jan. 1983.
12. L. O. Chua and K. A. Stromsmoe, “Mathematical models for dynamic hysteresis loops,” Int. J. Eng. Science, vol. 9, no. 5, pp. 435–450, May 1971.