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This book highlights a comprehensive summary of the basics of Stochastic averaging method in various systems and its applications in science and engineering. The Stochastic averaging method is the most powerful and most widely applied approximate analytical method for studying nonlinear stochastic dynamics, including response prediction, stability determination and reliability estimation. This book presents the basic principle of the method, the stochastic averaging method for several kinds of dynamical systems (one-DOF systems, quasi Hamiltonian systems, quasi generalized Hamiltonian...

This book highlights a comprehensive summary of the basics of Stochastic averaging method in various systems and its applications in science and engineering. The Stochastic averaging method is the most powerful and most widely applied approximate analytical method for studying nonlinear stochastic dynamics, including response prediction, stability determination and reliability estimation. This book presents the basic principle of the method, the stochastic averaging method for several kinds of dynamical systems (one-DOF systems, quasi Hamiltonian systems, quasi generalized Hamiltonian...