DC-DC converters are widely used in regulated switched mode power supplies and in DC motor drive applications. There are several sources of unwanted nonlinearity in practical power converters. In addition, their operation is characterized by switching that gives birth to a variety of nonlinear dynamics. DC-DC buck and boost converters controlled by pulse-width modulation (PWM) have been simulated. The voltage waveforms and attractors obtained from the circuit simulation have been studied. With the onset of instability, the phenomenon of subharmonic oscillations, quasi-periodicity, bifurcations, and chaos have been observed. This paper is mainly motivated by potential contributions of chaos theory in the design, analysis and control of power converters, in particular and power electronics circuits, in general.<\/p>\r\n","references":"[1] Paul S Addison. Fractals and Chaos. An illustrated course. IOP\r\nPublishing Limited. 1997.\r\n[2] Robert C. Hilborn. Chaos and Nonlinear Dynamics. An Introduction for\r\nScientists and Engineers. Oxford University Press. 1994.\r\n[3] D. C. Hamill, S. Banerjee and G. C. Verghese, \"Chapter 1:\r\nIntroduction,\" in Nonlinear Phenomena in Power Electronics, edited by\r\nS. Banerjee and G. C. Verghese, New York, IEEE Press, 2001.\r\n[4] C. K. Tse. Complex Behavior of Switching Power Converters. CRC\r\nPress. 2004.\r\n[5] M. di Bernardo and C.K. Tse, \"Chaos in Power Electronics: An\r\nOverview,\" Chaos in Circuits and Systems, Edited by G. Chen and T.\r\nUeta, New York: World Scientific, Chapter 16, pp. 317-340, 2002.\r\n[6] M. di Bernardo and C.K. Tse, \"Complex Behavior in Switching Power\r\nConverters,\" IEEE Proceedings. Vol 90, pp 768-781. May 2002.\r\n[7] S. C. Wong, C. K. Tse and K. C. Tam, \"Intermittent Chaotic Operation\r\nin Switching Power Converters,\" International Journal of Bifurcation\r\nand Chaos, Vol. 14, no. 8, pp. 1971-2978, August 2004.\r\n[8] J.B. Deane and D.C. Hamill, \"Analysis, Simulation and Experimental\r\nStudy of Chaos in the DC\/DC Buck Converter\", Power Electronics\r\nSpecialists Conference. pp. 491-498, San Antonio TX, 1990.\r\n[9] Simon S. Ang, Power-Switching Converters, 1st edition. Marcel Dekker,\r\nInc., New York, 1995.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 9, 2007"}