Non-equilibrium escape problems under Bivariate $\alpha$-stable noises

Stochastic resonance is a prominent effect consisting in enhancement of a response of a physical system to deterministic driving in the presence of noise. It demonstrates a constructive role the noise may play in increasing the sensitivity of the system to weak signals, and emerges in different theoretical models and experimental situations. We consider this effect in a periodically modulated two-dimensional double-well potential under the influence of an isotropic α-stable noise, and discuss the performance of various measures used to describe the stochastic resonance in other setups