The Fokker-planck Equation For Stochastic Dynamical Systems And Its Explicit Steady State Solutions

The Fokker-planck Equation For Stochastic Dynamical Systems And Its Explicit Steady State Solutions
Author :
Publisher : World Scientific
Total Pages : 345
Release :
ISBN-10 : 9789814502023
ISBN-13 : 9814502022
Rating : 4/5 (022 Downloads)

Book Synopsis The Fokker-planck Equation For Stochastic Dynamical Systems And Its Explicit Steady State Solutions by : Christian Soize

Download or read book The Fokker-planck Equation For Stochastic Dynamical Systems And Its Explicit Steady State Solutions written by Christian Soize and published by World Scientific. This book was released on 1994-05-16 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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?


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Table of contents: Stochastic methods in nonlinear structural dynamics.- Stochastic models of uncertainties in computational structural dynamics and structural