Includes bibliographical references and index.

Some simple examples -- Theoretical deterministic context -- Stochastic theoretical context -- Riemannian theoretical context -- Systems with friction -- Impact systems -- Applications-extensions -- Mathematical reminders -- Convex functions -- Proof of theorem 2.20 -- Proof of theorem 3.18 -- Research of convex potential -- Bibliography -- Index.

This practical work bridges the gap between highly specialized mathematical literature and real-world engineering applications, providing researchers and engineers in diverse technical fields with a framework of non smooth stochastic differential systems and applications involving stochastic excitations. The authors introduce theoretical and practical methods to treat models of dynamical systems involving non smooth nonlinearities, taking into account friction or impact models in discrete dynamical systems via differential inclusions of mainly finite dimensional dynamical systems.

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