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This paper studies a simple nonautonomous circuit consisting of an RLC resonator, a dependent switch and a periodic pulse-train input. The circuit can exhibit chaotic behavior if an equidistant pulse-train input is applied. The dynamics can be analyzed by a mapping procedure based on a one-dimensional (1-D) return map focusing on the moments when the input is applied. If the periodic pulse-train input is nonequidistant, the dynamics can be analyzed by a composite of different 1-D return maps corresponding to different pulse intervals. We show typical chaotic and periodic phenomena in this case. Using a simple test circuit, we can verify typical phenomena in the laboratory.
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on (Volume:50 , Issue: 9 )
Date of Publication: Sept. 2003