Title :
Bifurcations in one-dimensional piecewise smooth maps-theory and applications in switching circuits
Author :
Banerjee, Soumitro ; Karthik, M.S. ; Yuan, Guohui ; Yorke, James A.
Author_Institution :
Dept. of Electr. Eng., Indian Inst. of Technol., Kharagpur, India
fDate :
3/1/2000 12:00:00 AM
Abstract :
The dynamics of a number of switching circuits can be represented by one-dimensional (1-D) piecewise smooth maps under discrete modeling. In this paper we develop the bifurcation theory of such maps and demonstrate the application of the theory in explaining the observed bifurcations in two power electronic circuits
Keywords :
bifurcation; chaos; nonlinear network analysis; power electronics; switching circuits; 1D piecewise smooth maps; bifurcation theory; bifurcations; discrete modeling; one-dimensional maps; power electronic circuits; switching circuit dynamics; Adaptive control; Bifurcation; Chaos; Clocks; Extraterrestrial phenomena; Mathematical model; Power electronics; Power system modeling; Pulse circuits; Switching circuits;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
