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Author: Frank Moss
Publisher: Cambridge University Press
Published: 1989-04-06
Total Pages: 410
ISBN-13: 0521352290
DOWNLOAD EBOOKA specially written review of all areas of noise and nonlinear in natural environments.
Author: Frank Moss
Publisher: Cambridge University Press
Published: 2009-08-20
Total Pages: 408
ISBN-13: 9780521118521
DOWNLOAD EBOOKNature is inherently noisy and nonlinear. It is noisy in the sense that all macroscopic systems are subject to the fluctuations of their environments and also to internal fluctuations. It is nonlinear in the sense that the restoring force on a system displaced from equilibrium does not usually vary linearly with the size of the displacement. To calculate the properties of stochastic (noisy) nonlinear systems is in general extremely difficult, although considerable progress has been made in the past. The three volumes that make up Noise in Nonlinear Dynamical Systems comprise a collection of specially written authoritative reviews on all aspects of the subject, representative of all the major practitioners in the field. The second volume applies the theory of Volume 1 to the calculation of the influence of noise in a variety of contexts. These include quantum mechanics, condensed matter, noise induced transitions, escape processes and transition probabilities, systems with periodic potentials, discrete nonlinear systems, symmetry-breaking transition, and optics.
Author: Francis C. Moon
Publisher: Springer Science & Business Media
Published: 1998-10-31
Total Pages: 580
ISBN-13: 9780792352761
DOWNLOAD EBOOKThis book presents the latest research results in the area of applied nonlinear dynamics and chaos theory. Papers by three academic generations address new applications of nonlinear dynamics to mechanics, including fluid-structure interaction, machining and mechanics of solids, and many other applications.
Author: Vadim S. Anishchenko
Publisher: Springer Science & Business Media
Published: 2007-07-20
Total Pages: 463
ISBN-13: 3540381686
DOWNLOAD EBOOKWe present an improved and enlarged version of our book Nonlinear - namics of Chaotic and Stochastic Systems published by Springer in 2002. Basically, the new edition of the book corresponds to its ?rst version. While preparingthiseditionwemadesomeclari?cationsinseveralsectionsandalso corrected the misprints noticed in some formulas. Besides, three new sections have been added to Chapter 2. They are “Statistical Properties of Dynamical Chaos,” “E?ects of Synchronization in Extended Self-Sustained Oscillatory Systems,” and “Synchronization in Living Systems.” The sections indicated re?ect the most interesting results obtained by the authors after publication of the ?rst edition. We hope that the new edition of the book will be of great interest for a widesectionofreaderswhoarealreadyspecialistsorthosewhoarebeginning research in the ?elds of nonlinear oscillation and wave theory, dynamical chaos, synchronization, and stochastic process theory. Saratov, Berlin, and St. Louis V.S. Anishchenko November 2006 A.B. Neiman T.E. Vadiavasova V.V. Astakhov L. Schimansky-Geier Preface to the First Edition Thisbookisdevotedtotheclassicalbackgroundandtocontemporaryresults on nonlinear dynamics of deterministic and stochastic systems. Considerable attentionisgiventothee?ectsofnoiseonvariousregimesofdynamicsystems with noise-induced order. On the one hand, there exists a rich literature of excellent books on n- linear dynamics and chaos; on the other hand, there are many marvelous monographs and textbooks on the statistical physics of far-from-equilibrium andstochasticprocesses.Thisbookisanattempttocombinetheapproachof nonlinear dynamics based on the deterministic evolution equations with the approach of statistical physics based on stochastic or kinetic equations. One of our main aims is to show the important role of noise in the organization and properties of dynamic regimes of nonlinear dissipative systems.
Author: Avik Ghosh
Publisher: World Scientific Publishing Company
Published: 2016-09-29
Total Pages: 525
ISBN-13: 9813144513
DOWNLOAD EBOOK'This is one of the best available graduate-level textbooks on electronic transport at the nanoscale. Its unique feature is providing a thorough and completely self-contained treatment of several theoretical formalisms for treating the transport problem. As such, the book is useful not only for the graduate students working in the field of nanoscale electrical transport, but also for the researchers who wish to expand their knowledge of various fundamental issues associated with this rapidly developing field. Of particular note are deep physical insights accompanying the rigorous mathematical derivations in each of the chapters, as well as the clear statement of all the approximations involved in a particular theoretical formalism. This winning combination makes the book very accessible to a reader with basic knowledge of quantum mechanics, solid state theory and thermodynamics/statistical mechanics. I give this book the highest recommendation.' [Read Full Review]Serfei A EgorovUniveristy of Virginia, USAThis book is aimed at senior undergraduates, graduate students and researchers interested in quantitative understanding and modeling of nanomaterial and device physics. With the rapid slow-down of semiconductor scaling that drove information technology for decades, there is a pressing need to understand and model electron flow at its fundamental molecular limits. The purpose of this book is to enable such a deconstruction needed to design the next generation memory, logic, sensor and communication elements. Through numerous case studies and topical examples relating to emerging technology, this book connects 'top down' classical device physics taught in electrical engineering classes with 'bottom up' quantum and many-body transport physics taught in physics and chemistry. The book assumes no more than a nodding acquaintance with quantum mechanics, in addition to knowledge of freshman level mathematics. Segments of this book are useful as a textbook for a course in nano-electronics.
Author: George L. Trigg
Publisher: John Wiley & Sons
Published: 2006-08-21
Total Pages: 686
ISBN-13: 3527607250
DOWNLOAD EBOOKMathematical Tools for Physicists is a unique collection of 18 carefully reviewed articles, each one written by a renowned expert working in the relevant field. The result is beneficial to both advanced students as well as scientists at work; the former will appreciate it as a comprehensive introduction, while the latter will use it as a ready reference. The contributions range from fundamental methods right up to the latest applications, including: - Algebraic/ analytic / geometric methods - Symmetries and conservation laws - Mathematical modeling - Quantum computation The emphasis throughout is ensuring quick access to the information sought, and each article features: - an abstract - a detailed table of contents - continuous cross-referencing - references to the most relevant publications in the field, and - suggestions for further reading, both introductory as well as highly specialized. In addition, a comprehensive index provides easy access to the vast number of key words extending beyond the range of the headlines.
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Published: 1969
Total Pages: 1090
ISBN-13:
DOWNLOAD EBOOKAuthor: Michael F. Shlesinger
Publisher: World Scientific
Published: 1998
Total Pages: 340
ISBN-13: 9789810233921
DOWNLOAD EBOOKOcean structures, including ships, boats, piers, docks, rigs and platforms, are subject to fair weather wind and waves, as well as violent storms. A scientific analysis of these structures, under varying conditions, requires a mix of civil engineering, physics and applied mathematics. Chapters by experts in these fields are presented which explore the nonlinear responses of ocean structures to stochastic forcing. Theoretical methods calculate aspects of time, frequency and phase space responses. Probabilities governed by stochastic differential equations arc investigated directly or through moment correlations, such as power spectra. Calculations can also involve level crossing statistics and first passage times. Tiffs book will help scientists study stochastic nonlinear equations and help engineers design for short term survivability of structures in storms and long life in the face of everyday fatigue.
Author: Shi Jin
Publisher: Springer
Published: 2018-03-20
Total Pages: 282
ISBN-13: 3319671103
DOWNLOAD EBOOKThis book explores recent advances in uncertainty quantification for hyperbolic, kinetic, and related problems. The contributions address a range of different aspects, including: polynomial chaos expansions, perturbation methods, multi-level Monte Carlo methods, importance sampling, and moment methods. The interest in these topics is rapidly growing, as their applications have now expanded to many areas in engineering, physics, biology and the social sciences. Accordingly, the book provides the scientific community with a topical overview of the latest research efforts.
Author: Arturo Kohatsu-Higa
Publisher: Springer Science & Business Media
Published: 2011-07-22
Total Pages: 427
ISBN-13: 3034800975
DOWNLOAD EBOOKStochastic analysis has a variety of applications to biological systems as well as physical and engineering problems, and its applications to finance and insurance have bloomed exponentially in recent times. The goal of this book is to present a broad overview of the range of applications of stochastic analysis and some of its recent theoretical developments. This includes numerical simulation, error analysis, parameter estimation, as well as control and robustness properties for stochastic equations. The book also covers the areas of backward stochastic differential equations via the (non-linear) G-Brownian motion and the case of jump processes. Concerning the applications to finance, many of the articles deal with the valuation and hedging of credit risk in various forms, and include recent results on markets with transaction costs.
