Basic Study of Border-Collision Bifurcation in an Electric Circuit Including Fast-Scale and Slow-Scale Dynamics

Abstract

In this paper, we experimentally study border-collision bifurcation, which occurs in the fast-scale dynamics in an interrupted electric circuit. First, we show a circuit model, and explain the behavior of the waveform. Next, we define a discrete map by sampling the data of the waveform. Finally, we discuss bifurcation phenomena in the circuit. In particular, we focus on the waveform behavior in the clock pulse interval, which we call the fast-scale dynamics, and study bordercollision bifurcation experimentally.