Abstract:
The dynamics of the pulse-width system described by nonautonomous piecewise smooth differential equations is studied. In the parameter plane domains of different dynamic behaviour are determined both analytically and numerically. A special type of C-bifurcation resulting in the invariant torus birth from a stable equilibrium is discovered. It is shown that the periodic motion due to this bifurcation arises as an unstable focal cycle surrounded by a resonance or ergodic torus.