We study structural properties of linear time-varying discrete-time systems. At rst an associated system on projective space is introduced as a basic tool to understand the linear dynamics. We study controllability properties of this system, and characterize in particular the control sets and their cores. Suucient conditions for an upper bound on the number of control sets with nonempty interio...

| The exchange of power between two identical coupled waveguides with embedded periodic structure along z-direction is studied in the framework of Floquet-Bloch theory. A one-period propagator is calculated and a spectrum of its eigenvalues (eigenphases) is studied. We show that due to special symmetry properties of the Floquet-Bloch operator , a strong enhancement or a total suppression of pow...

Previous studies dealing with Floquet secondary stability analysis of the wakes of circular and square cross-section cylinders have shown that there are two synchronous instability modes, with long ~mode A! and short ~mode B! spanwise wavelengths. At intermediate wavelengths another mode arises, which reaches criticality at Reynolds numbers higher than modes A or B. Here we concentrate on these...

We investigate the possibility of realizing a disorder-induced topological Floquet spectrum in two-dimensional periodically driven systems. Such a state would be a dynamical realization of the topological Anderson insulator. We establish that a disorder-induced trivial-to-topological transition indeed occurs, and characterize it by computing the disorder averaged Bott index, suitably defined fo...

General rotor systems possess both stationary and rotating asymmetric properties, whose equation of motion is characterized by the presence of periodically time-varying parameters with the period of half the rotation. This paper employs the Floquet theory to develop the complex modal analysis method for periodically time-varying linear rotor systems. The approach is based on decomposition of st...

The Fitzhugh-Nagumo (fn) mathematical model characterizes the action potential of the membrane. The dynamics of the Fitzhugh-Nagumo model have been extensively studied both with a view to their biological implications and as a test bed for numerical methods, which can be applied to more complex models. This paper deals with the dynamics in the (FH) model. Here, the dynamics are analyzed, qualit...

We analyse the excitation mechanisms which determine the dynamics of highly excited hydrogen atoms traversing a wavegulde. Experimental measurements to verify predictions denved from Floquet theory are suggested.