Bifurcation between superstable periodic orbits and chaos in a simple spiking circuit

Abstract

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. © 2009 Springer Berlin Heidelberg.