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Presents a coherent and systematic treatment of the behavior of linear and nonlinear dynamical systems subject to parametric random vibrations, by means of the theory of stochastic processes, stochastic differential equations, and applied dynamics. Distills decades of research, resulting in new stochastic stability theorems and analytical techniques for determining the random response of nonlinear systems. Resolves controversies and paradoxes which have arisen in the interpretation of certain stochastic processes and the use of the analytical methods. Includes extensive references to experimental results as found in the literature of the field.
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