Period-doubling analysis and chaos detection using commercial harmonic balance simulators

IEEE Transactions on Microwave Theory and Techniques

Volumn 48, Issue , 2000, Pages 574-581

  Collantes, Juan Mari ^a   Suárez, Almudena ^b  

^a UNIVERSITY OF THE BASQUE COUNTRY UPV EHU   (Spain)

^b UNIVERSITY OF CANTABRIA   (Spain)

Author keywords

Chaos; Frequency division; Harmonic balance; Stability

Indexed keywords

CHAOS DETECTION; CHUAS CIRCUIT; EQUILIBRIUM POINT DETERMINATION; HARMONIC BALANCE SIMULATORS; HOMOCLINIC CHAOS; PERIOD DOUBLING ANALYSIS;

BIFURCATION (MATHEMATICS); CHAOS THEORY; COMPUTER SIMULATION; FREQUENCY DOUBLERS; INTEGRATED CIRCUIT LAYOUT; PARAMETER ESTIMATION; TIME DOMAIN ANALYSIS;

MICROWAVE CIRCUITS;

EID: 0034172641     PISSN: 00189480     EISSN: None     Source Type: Journal    
DOI: 10.1109/22.842029     Document Type: Article

References (16)

1. A. Suârez, J. Morales, and R. Quéré, "Chaos prédiction in a MMIC frequency divider in millimetric band," IEEE Microwave Guided Wave Lett., vol. 8, pp. 21-23, Jan. 1998.
2. L.M. Pecora and T. L. Carroll, "Synchronization in chaotic systems," Phys. Rev. Lett., vol. 64, pp. 821-824, 1990.
3. C.P. Silva and A. M. Young, "Implementing RF broad-band chaotic oscillators: Design issues and results," in Proc. IEEE Int. Circuits Syst. Symp., Monterey, CA, May 1998, pp. 489-493.
4. C.P. Silva, "Shil'nikov theorem-A tutorial," IEEE Trans. Circuits Syst., vol. 40, pp. 675-682, Oct. 1993.
5. J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields, 3rd ed. Berlin, Germany: Springer-Verlag, 1990.
6. S. Wiggins, Introduction to Applied Nonlinear Dynamical Systems and Chaos. Berlin, Germany: Springer-Verlag, 1990.
7. R. Genesio and A. Tesi, "A harmonic balance approach for chaos predic-tion: Chua's circuit," Int.J. Bifurcation Chaos, vol. 2, no. 1, pp. 61-79, Jan. 1992
8. M. Odyniec, "Nonlinear synchronized LC oscillators: Theory and sim-ulation," IEEE Trans. Microwave Theory Tech., vol. 41, pp. 774-780, May 1993.
9. R. Quere, E. Ngoya, M. Camiade, A. Suârez, M. Hessane, and J. Obregön, "Large signal design of broad-band monolithic frequency dividers and phase-locked oscillators," IEEE Trans. Microwave Theory Tech., vol. 41, pp. 1928-1938, Nov. 1993.
10. T. Matsumoto, "Chaos in electronic circuits," IEEE Trans. Circuits Syst. (Special Issue on Chaotic Systems), vol. 75, pp. 1033-1057, Aug. 1987.
11. V Rizzoli and A. Lipparini, "General stability analysis of periodic steady state regimes in nonlinear microwave circuits," IEEE Trans. Microwave Theory Tech., vol. MTT-33, pp. 30-37, Jan. 1985.
12. V. Rizzoli and A. Neri, "State of the art and present trends in nonlinear microwave CAD techniques," IEEE Trans. Microwave Theory Tech., vol. 36, pp. 343-356, Feb. 1988.
13. M.J. Hasler, "Electrical circuits with chaotic behavior," IEEE Trans. Circuits Syst. (Special Issue on Chaotic Systems), vol. 75, pp. 1009-1021, Aug. 1987.
14. S. Basu, S.M. Maas, and T. Itoh, "Stability analysis for large signal design of a microwave frequency doubler," IEEE Trans. Microwave Theory Tech., vol. 43, pp. 2890-2898, Dec. 1995.
15. A. Suârez and J.M. Collantes, "Chaos detection in microwave circuits using harmonic balance commercial simulators," in IEEE MTT-S Int. Microwave Symp. Dig., Baltimore, MD, June 1998, pp. 271-274.
16. V. Iglesias, A. Suârez, and J.L. Garcia, "New technique for the determination through commercial software of the stable-operation parameter ranges in nonlinear microwave circuits," IEEE Microwave Guided Wave Lett., vol. 8, pp. 424-426, Dec. 1998.