Bifurcation between Superstable Periodic Orbits and Chaos in a Simple Spiking Circuit

This paper studies typical nonlinear dynamics of Spiking circuit including two capacitors. Applying impulsive switching depending on both state and time, the circuit can exhibit rich chaotic/periodic phenomena. We pay special attention to superstable periodic orbits and related bifurcation phenomena. The circuit dynamics can be simplified into a piecewise linear one-dimensional return map that enables us to analyze basic bifurcation phenomena precisely.