The Girsanov Linearization Method for Stochastically Driven Nonlinear Oscillators
نویسندگان
چکیده
منابع مشابه
The Girsanov Linearization Method for Stochastically Driven Nonlinear Oscillators
For most practical purposes, the focus is often on obtaining statistical moments of the response of stochastically driven oscillators than on the determination of pathwise response histories. In the absence of analytical solutions of most nonlinear and higherdimensional systems, Monte Carlo simulations with the aid of direct numerical integration remain the only viable route to estimate the sta...
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Mathematical models of nonlinear oscillators are used to describe a wide variety of physical and biological phenomena that exhibit self-sustained oscillatory behavior. When these oscillators are strongly driven by forces that are periodic in time, they often exhibit a remarkable ‘‘mode-locking’’ that synchronizes the nonlinear oscillations to the driving force. The purpose of this paper is to d...
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And submitted in partial fulfillment of the requirement for the degree of Master of Applied science(mechanical engineering) Complies with the regulations of the university and meets the accepted standards with respct to originality and quality. Approved by Chair of department or graduate program director Dean of Faculty Date iii ABSTRACT The mathematical theories for linear systems provide a un...
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ژورنال
عنوان ژورنال: Journal of Applied Mechanics
سال: 2006
ISSN: 0021-8936,1528-9036
DOI: 10.1115/1.2712234