Study of a class of hybrid-time systems

The aim of this paper is to study the dynamic behavior of a class of hybrid-time systems. In particular, we concern about switched systems constituted by two linear second order systems with a time varying (sinusoidal type) translation term. By means of numerical simulations, system behavior and its relation to system parameters are studied. It is shown that system eigenvalues play a crucial role in the time evolution of the system leading either to regular behavior, oscillatory patterns or intermittent erratic-periodic behavior. Furthermore, it is shown that under certain conditions, presumable fractal structures can be obtained.