Application of bifurcation control to practical circuit design

IEEE Transactions on Microwave Theory and Techniques

Volumn 53, Issue 9, 2005, Pages 2777-2788

  Collado, Ana ^b   Súarez, Almudena ^a,b,c  

^a IEEE   (Spain)

^b UNIVERSITY OF CANTABRIA   (Spain)

^c University of Cantabria ^*  (Spain)

Author keywords

Bifurcation; Frequency divider; Hysteresis; Synchronized oscillator; Voltage controlled oscillator

Indexed keywords

BIFURCATION CONTROL; COMPLEX CIRCUITS; FREQUENCY DIVIDER; SYNCHRONIZED OSCILLATOR;

BIFURCATION (MATHEMATICS); ELECTRIC GENERATORS; FEEDBACK CONTROL; HYSTERESIS; SYNCHRONIZATION; VARIABLE FREQUENCY OSCILLATORS;

MICROWAVE CIRCUITS;

EID: 27744506192     PISSN: 00189480     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMTT.2005.854180     Document Type: Conference Paper

References (23)

1. A. Suárez and R. Quéré, Global Stability Analysis of Microwave Circuits. Boston, MA: Artech House, 2003.
2. V. Rizzoli and A. Neri, "State of the art and present trends in nonlinear microwave CAD techniques," IEEE Trans. Microw. Theory Tech., vol. 36, no. 2, pp. 343-356, Feb. 1988.
3. G. M. Maggio, M. Gilli, and M. P. Kennedy, "An approximate analytical approach for predicting period-doubling in the Colpitts oscillator," in Proc. Int. Symp. Circuits Systems (ISCAS'98), vol. III, Monterey, CA, May 31-Jun. 3 1998, pp. 671-674.
4. H. Kawakami, "Bifurcation of periodic responses in forced dynamic nonlinear circuits: Computation of bifurcation values of the system parameters," IEEE Trans. Circuits Syst., vol. 31, no. 3, pp. 248-260, Mar. 1984.
5. A. Suárez, J. Morales, and R. Quéré, "Synchronization analysis of autonomous microwave circuits using new global stability analysis tools," IEEE Trans. Microw. Theory Tech., vol. 46, no. 5, pp. 494-504, May 1998.
6. G. Chen, J. L. Moiola, and H. O. Wang, "Bifurcation control: Theories, methods and applications," Int. J. Bifurcation Chaos, vol. 10, no. 3, pp. 511-548, Mar. 2000.
7. E. H. Abed and J. H. Fu, "Local feedback stabilization and bifurcation control," Syst. Control Lett., vol. 7, pp. 11-17, 1986.
8. R. Genesio, A. Tesi, H. O. Wang, and E. H. Abed, "Control of period-doubling bifurcations using harmonic balance," in Proc. 32nd Conf. Decision Control, San Antonio, TX, Dec. 1993, pp. 492-497.
9. G. Leuzzi and F. Di Paolo, "Bifurcation synthesis by means of harmonic balance and conversion matrix," in Proc. Gallium Arsenide Applications Symp. (GAAS 2003), Munich, Germany, Oct. 2003, pp. 521-524.
10. A. Anakabe, J. M. Collantes, A. Suarez, J. Jugo, and J. Portilla, "Analysis of microwave frequency dividers in harmonic-balance simulators," in IEEE Int. Conf. Electronics Circuits Systems, vol. 3. Sep. 2001, pp. 1575-1578.
11. A. Suarez and J. M. Collantes, "A new technique for chaos prediction in RF circuit design using harmonic-balance commercial simulators," IEEE Trans. Circuits Systems I, Fundam. Theory Appl., vol. 46, no. 11, pp. 1413-1415, Nov. 1999.
12. A. Suarez and J. M. Collantes, "Harmonic balance analysis of two bifurcation routes to chaos," in Proc. IEEE MTT-S Int. Microwave Symp., vol. 2, Jun. 1999, pp. 767-770.
13. C. Rauscher, "Regenerative frequency division with a GaAs FET," IEEE Trans. Microw. Theory Tech., vol MTT-32, no. 11, pp. 1461-1468, Nov. 1984.
14. A. Anakabe, J. M. Collantes, J. Portilla, J. Jugo, S. Mons, A. Mallet, and L. Lapierre, "Analysis of Odd-Mode parametric oscillations in HBT multi-stage power amplifiers," in 11th Eur. Gallium Arsenide Other Compound Semiconductor Application Symp., Munich, Germany, Oct. 2003, pp. 533-536.
15. V. Rizzoli, F. Mastri, and D. Masotti, "General noise analysis of nonlinear microwave circuits by the piecewise harmonic-balance technique," IEEE Trans. Microw. Theory Tech., vol. 42, no. 5, pp. 807-819, May 1994.
16. J. C. Nallatamby, M. Prigent, J. C. Sarkissian, R. Quéré, and J. Obregón, "A new approach to nonlinear analysis of noise behavior of synchronized oscillators and analog-frequency dividers," IEEE Trans. Microw. Theory Tech., vol. 46, no. 8, pp. 1168-1171, Aug. 1998.
17. V. Araña, A. Súrez, and P. Dorta, "Dual-band frequency divider, based on oscillation control," in 2004 IEEE MTT-S Int. Microwave Symp. Dig., Fort Worth, TX, Jun. 2004, pp. 1501-1504.
18. A. S. Daryoush, T. Berceli, R. Saedi, P. Herczfeld, and A. Rosen, "Theory of subharmonic synchronization of nonlinear oscillators," IEEE MTT-S Dig., pp. 735-738, 1989.
19. H. C. Chang, A. Borgioli, P. Yeh, and R. A. York, "Analysis of oscillators with external feedback loop for improved locking range and noise reduction," IEEE Trans. Microw. Theory Tech., vol. 47, no. 8, pp. 1535-1543, Aug. 1999.
20. F. Ramírez, E. de Cos, and A. Suárez, "Nonlinear analysis tools for the optimized design of harmonic-injection dividers," IEEE Trans. Microw. Theory Tech., vol. 51, no. 6, pp. 1752-1762, Jun. 2003.
21. S. Ver Hoeye, A. Suarez, and S. Sancho, "Analysis of noise effects on the nonlinear dynamics of synchronized oscillators," IEEE Microw. Compon. Lett., vol. 11, no. 9, pp. 376-378, Sep. 2001.
22. E. Palazuelos, A. Suárez, J. Portilla, and F. J. Barahona, "Hysteresis prediction in autonomous microwave circuits using commercial software application to a K u-band MMIC VCO," IEEE J. Solid-State Circuits, vol. 33, no. 8, pp. 1239-1243, Aug. 1998.
23. E. de Cos, F. Ramírez, and A. Suárez, "Multi-harmonic generator based on the synchronization of a nonlinear bipolar oscillator," presented at the IEEE MTT-S Int. Microwave Symp. Dig., Philadelphia, PA, Jun. 2003.