The paper studies the properties of a sinusoidally vibrating wedge billiard as a model for 2D impact juggling. It is shown that some periodic orbits that are unstable in the elastic fixed wedge become exponentially stable in the (non-)elastic vibrating wedge. These orbits are linked with some classical juggling patterns, providing an interesting benchmark for the study of the frequency-locking ...

We study the self-action of light in a water suspension of absorbing subwavelength particles. Due to efficient accumulation of the light energy, this medium shows distinct non-linear properties even at moderate radiation power. In particular, by means of interference of two obliquely incident beams, it is possible to create controllable phase and amplitude gratings whose contrast, spatial and t...

We consider a hybrid system consisting on two exible beams connected by a point mass. We prove that the presence of the point mass aaects the spectral gap when the inertia term does not vanish. This allows us to show that the system is well-posed in as ymmetric spaces in which solutions have one more degree of regularity to one side of the mass. The proofs combine classical techniques from asym...

Squeeze film effects between two concentric cylinders are common and important in many mechanical systems. The models for cylindrical squeeze force vibrating system with have not been well understood. In this paper, we model a starting from the simplification of full Navier–Stokes equations then get an expression force. We study influence harmonic exciting on spring damped vibrator effect by es...