The Fokker-Planck Equation for Stochastic Dynamical Systems and Its Explicit Steady State Solutions (Hardcover) (ISBN-13: 9789810217556)

This is an analysis of multidimensional nonlinear dissipative Hamiltonian dynamical systems subjected to parametric and external stochastic excitations by the Fokker-Planck equation method.The author answers three types of questions concerning this area. First, what probabilistic tools are necessary for constructing a stochastic model and deriving the FKP equation for nonlinear stochastic dynamical systems? Secondly, what are the main results concerning the existence and uniqueness of an invariant measure and its associated stationary response? Finally, what is the class of multidimensional dynamical systems that have an explicit invariant measure and what are the fundamental examples for applications?

Author: Christian Soize
ISBN-10: 9810217552
ISBN-13: 9789810217556
Publisher: World Scientific Publishing Company
Language: English
Published: 05/01/1994
Pages: 340
Format: Hardcover
Weight: 1.30lbs
Size: 8.80h x 6.10w x 0.90d