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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Etat : New. InhaltsverzeichnisStochastic Canonical Equation of Multidimensional Nonlinear Dissipative Hamiltonian Dynamical Systems Fundamental Examples of Nonlinear Dynamical Systems and Associated Second Order Equation Brief Review of Probabilit. N° de réf. du vendeur 909654786
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Buch. Etat : Neu. Neuware - 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. N° de réf. du vendeur 9789810217556
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