Bifurcations in one-dimensional piecewise smooth maps - theory and applications in switching circuits

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Volumn 47, Issue 3, 2000, Pages 389-394

  Banerjee, Soumitro ^a   Karthik, M S ^b   Yuan, Guohui ^a   Yorke, James A ^b  

^a INDIAN INSTITUTE OF TECHNOLOGY   (India)

^b UNIVERSITY OF MARYLAND   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); CHAOS THEORY; DIFFERENTIAL EQUATIONS; NONLINEAR SYSTEMS; PIECEWISE LINEAR TECHNIQUES; POWER ELECTRONICS; THEOREM PROVING;

GENERIC BIFURCATIONS; ONE DIMENSIONAL PIECEWISE SMOOTH MAPS; TANGENT BIFURCATION;

SWITCHING CIRCUITS;

EID: 0034156883     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.841921     Document Type: Article

References (13)

1. S. Banerjee, E. Ott, J. A. Yorke, and G. H. YuanAnomalous bifurcations in dc-dc converters: Borderline collisions in piecewise smooth maps," in Proc. IEEE Power Electronics Specialists' Conf., 1997, pp. 1337-1344.
2. S. Banerjee, P. Ranjan, and C. GrebogiBifurcations in two-dimensional piecewise smooth maps - Theory and applications in switching circuits," IEEE Trans. Circuits Syst. I.
3. G. H. Yuan, S. Banerjee, E. Ott, and J. A. YorkeBorder collision bifurcations in the buck converter," IEEE Trans. Circuits Syst. I, vol. 45, pp. 707-716, July 1998.
4. F. TakensTransition from periodic to strange attractors in constrained equations," in Dynamical Systems and Bifurcation Theory, M. Camacho, M. Pacifico, and F. Takens, Eds. New York, NY: Longman, 1987, vol. 160, pp. 399-421.
5. H. E. Nusse and J. A. YorkeBorder-collision bifurcations for piecewise smooth one dimensional maps," Int. J. Bifurcat. Chaos, vol. 5, no. 1, pp. 189-207, 1995.
6. Y. L. Maistrenko, V. L. Maistrenko, and L. O. ChuaCycles of chaotic intervals in a time-delayed Chua's circuit," Int. J. Bifurcat. Chaos, vol. 3, pp. 1573-1579, 1993.
7. S. Banerjee, J. A. Yorke, and C. GrebogiRobust chaos," Phys. Rev. Lett., vol. 80, pp. 3049-3052, 1998.
8. J. H. B. DeaneChaos in a current-mode controlled boost dc-dc converter," IEEE Trans. Circuits Syst. I, vol. 39, pp. 680-683, Aug. 1992.
9. J. L. R. Marrero, J. M. Font, and G. C. VergheseAnalysis of the chaotic regime for dc-dc converters under current mode control," in Proc. Power Electronics Specialists' Conf., 1996, pp. 1477-1483.
10. S. Banerjee and K. ChakrabartyNonlinear modeling and bifurcations in the boost converter," IEEE Trans. Power Electron., vol. 13, pp. 252-260, 1998.
11. D.M. Wolf, M. Varghese, and S. R. SandersBifurcation of power electronic circuits," J. Franklin Inst., vol. 331B, no. 6, pp. 957-999, 1994.
12. C. K. Tse and W. C. Y. ChanExperimental verification of bifurcations in current-programmed dc/dc boost converters," in Proc. European Conf. Circuit Theory Design, Budapest, Hungary, Sept. 1997, pp. 1274-1279.
13. J. H. B. Deane and D. C. HamillImprovement of power supply EMC by chaos," Electron. Lett., vol. 32, no. 12, p. 1045, 1996.