Structure analysis of periodically controlled nonlinear systems via the stroboscopic approach

It is shown that an efficient structure analysis of periodically controlled nonlinear systems is possible by use of the computer simulation technique coupled with the stroboscopic approach. The existence and stability of every periodic state can be determined together with the dynamic behavior in the neighborhood of these periodic states. Especially, the proposed technique seems to be the only way for finding out periodic states of the saddle mode.