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This book deals with numerous linearization techniques for stochastic dynamic systems. As a textbook, it can serve for both advanced undergraduate and graduate courses. At the end of each chapter one finds bibliographic references.
This book deals with numerous linearization techniques for stochastic dynamic systems. The author provides a very valuable toolbox on the basic idea of statistical linearization methods.
The scope is limited to models with continuous external and parametric excitations, yet these cover the majority of known approaches.
It examines models with continuous external and parametric excitations, those that cover the majority of known approaches.
Lecture Notes in Physics L. Socha, Linearization Methods for Stochastic Dynamic Systems, Lect.
Lecture Notes in Physics. Englert, Singapore U. Frisch, Nice, France P. Hanggi, Augsburg, Germany G. Hasinger, Garching, Germany K. Hepp, Zurich, Switzerland W. Hillebrandt, Garching, Germany D. Imboden, Zurich, Switzerland R. L. Jaffe, Cambridge, MA, USA R. Lipowsky, Potsdam, Germany H. v. Lohneysen, Karlsruhe, Germany I. Ojima, Kyoto, Japan. By (author) Leslaw Socha. Free delivery worldwide.
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Stochastic Dynamics, born almost 100 years ago with the early explanations of Brownian motion by physicists, is nowadays a. .
The present volume provides a survey on the influence of fluctuations in nonlinear dynamics. It addresses specialists, although the intention of this book is to provide teachers and students with a reliable resource for seminar work.
Note that the diffusion constant D may be position-dependent. The applicability of Fick’s law was experimentally veried in many different contexts and has applicability to a wide range of transport phenomena in physics, chemistry, biology, ecology, geology, etc. The eponymous Robert Brown, a botanist, reported in 1827 on the random motions of pollen grains sus-pended in water, which he viewed through a microscope.
For most cases of interest, exact solutions to nonlinear equations describing stochastic dynamical systems are not available. This book details the relatively simple and popular linearization techniques available, covering theory as well as application. It examines models with continuous external and parametric excitations, those that cover the majority of known approaches.