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Titlebook: IUTAM Symposium on Nonlinear Stochastic Dynamics; Proceedings of the I N. Sri Namachchivaya,Y. K. Lin Conference proceedings 2003 Springer

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书目名称IUTAM Symposium on Nonlinear Stochastic Dynamics
副标题Proceedings of the I
编辑N. Sri Namachchivaya,Y. K. Lin
视频video
丛书名称Solid Mechanics and Its Applications
图书封面Titlebook: IUTAM Symposium on Nonlinear Stochastic Dynamics; Proceedings of the I N. Sri Namachchivaya,Y. K. Lin Conference proceedings 2003 Springer
描述Non-linear stochastic systems are at the center of many engineering disciplines and progress in theoretical research had led to a better understanding of non-linear phenomena. This book provides information on new fundamental results and their applications which are beginning to appear across the entire spectrum of mechanics. .The outstanding points of these proceedings are Coherent compendium of the current state of modelling and analysis of non-linear stochastic systems from engineering, applied mathematics and physics point of view. Subject areas include: Multiscale phenomena, stability and bifurcations, control and estimation, computational methods and modelling. .For the Engineering and Physics communities, this book will provide first-hand information on recent mathematical developments. The applied mathematics community will benefit from the modelling and information on various possible applications.
出版日期Conference proceedings 2003
关键词Measure; Sage; Sweep; diffusion process; information; modeling; simulation; vibration; ordinary differential
版次1
doihttps://doi.org/10.1007/978-94-010-0179-3
isbn_softcover978-94-010-3985-7
isbn_ebook978-94-010-0179-3Series ISSN 0925-0042 Series E-ISSN 2214-7764
issn_series 0925-0042
copyrightSpringer Science+Business Media Dordrecht 2003
The information of publication is updating

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Hopf Meets Hamilton Under Whitney’s Umbrellala. We show that the Hamiltonian case lies on the “handle” of Whitney’s umbrella. This allows us to investigate near-Hamiltonian or weakly dissipative systems that lie in a tubular neigh-borhood of the handle of Whitney’s umbrella.
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Noise Sensitivity of Stochastic Resonance and Other Problems Related to Large Deviations stochastic resonance are among these problems. We calculate the action functional when the Wiener process is replaced by the random walk, find the relation between the small parameters which provide convergence to the solution of the problem with the Gaussian white noise as the perturbation, and calculate the correction term.
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Lyapunov Exponents and Stability for the Stochastic Duffing-Van der Pol Oscillators important for stability properties of the two point motion associated with the original equation. We use stochastic averaging techniques to estimate the value of . in the presence of small noise and small viscous damping.
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0925-0042 erstanding of non-linear phenomena. This book provides information on new fundamental results and their applications which are beginning to appear across the entire spectrum of mechanics. .The outstanding points of these proceedings are Coherent compendium of the current state of modelling and analy
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Stochastic Averaging Near Homoclinic Orbits Via Singular Perturbationsrturbed test function via a boundary-layer PDE near the homoclinic orbit. Solvability of this PDE is equivalent to the glueing conditions of Freidlin-Wentzell. Details of our calculations will appear elsewhere.
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