This book contains theoretical and application oriented methods to treat models of dynamical systems involving non smooth nonlinearities. These non smooth nonlinearities are introduced to take into account friction or impact models in discrete dynamical systems via differential inclusions of mainly finite dimensional dynamical systems. In order to describe real solicitations exerted on physical systems, these methods are developed and presented in the deterministic and stochastic frames.
Chapter 1 – A few simple examples
Chapter 2 – Theoretical deterministic context
Chapter 3 – Theoretical stochastic context
Chapter 4 – Theoretical Riemannian context
Chapter 5 – Systems with friction
Chapter 6 – Systems with impact
Chapter 7 – Applications and extensions