Synchronization of systems of Marcus canonical equations driven by \(\alpha \)-stable noises
The paper investigates a synchronization phenomenon for coupled dynamical systems driven by \(\alpha-\)stable Lévy motions. Some basic facts about Marcus canonical differential equations and random dynamical systems are presented in the first chapters. In the last chapter, the problem of synchronization for coupled dynamical systems driven by \(\alpha-\)stable noises is formulated and then proven in the main theorem of the paper, under some dissipativity conditions for the drift terms. This result implies the fact that coupled dynamical systems share a dynamical feature in a certain asymptotic sense.
scientific article; zbMATH DE number 5799982