An increasing attention has recently been paid to the effect of underwater noise field generated by ship activities on marine environment. Although this problem is widely discussed in international treaties and conventions, it not yet found a consolidated technical-scientific treatment capable quantifying level emissions produced naval systems. As part national research collaboration, novel cod...

<p style='text-indent:20px;'>We consider the cooperative system driven by a multiplicative It\^o type white noise. The existence and their approximations of travelling wave solutions are proven. With moderately strong noise, constricted choosing suitable marker wavefront. Moreover, stochastic Feynman-Kac formula, sup-solution, sub-solution equilibrium points dynamical corresponding to uti...

We give a short introduction to the white noise theory for multiparameter Lévy processes and its application to stochastic partial differential equations driven by such processes. Examples include temperature distribution with a Lévy white noise heat source, and heat propagation with a multiplicative Lévy white noise heat source.

We show how multiplexing influences propagating fronts in multilayer networks of coupled bistable oscillators. Using numerical simulation, we investigate both deterministic and noise-sustained propagation. In particular, demonstrate that the allows to reduce intra-layer dynamics a common regime where front propagation speed all interacting layers attains same fixed value. presence noise is more...