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Author: Samuel Herrmann
Publisher:
ISBN: 9781470414733
Category : MATHEMATICS
Languages : en
Pages :
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Book Description
Author: Samuel Herrmann
Publisher:
ISBN: 9781470414733
Category : MATHEMATICS
Languages : en
Pages :
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Book Description
Author: Ilya Pavlyukevich
Publisher:
ISBN: 9783897229600
Category :
Languages : en
Pages : 120
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Book Description
Author: Samuel Herrmann
Publisher: American Mathematical Soc.
ISBN: 1470410494
Category : Mathematics
Languages : en
Pages : 189
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Book Description
Stochastic resonance is a phenomenon arising in a wide spectrum of areas in the sciences ranging from physics through neuroscience to chemistry and biology. This book presents a mathematical approach to stochastic resonance which is based on a large deviations principle (LDP) for randomly perturbed dynamical systems with a weak inhomogeneity given by an exogenous periodicity of small frequency. Resonance, the optimal tuning between period length and noise amplitude, is explained by optimizing the LDP's rate function. The authors show that not all physical measures of tuning quality are robust with respect to dimension reduction. They propose measures of tuning quality based on exponential transition rates explained by large deviations techniques and show that these measures are robust. The book sheds some light on the shortcomings and strengths of different concepts used in the theory and applications of stochastic resonance without attempting to give a comprehensive overview of the many facets of stochastic resonance in the various areas of sciences. It is intended for researchers and graduate students in mathematics and the sciences interested in stochastic dynamics who wish to understand the conceptual background of stochastic resonance.
Author: Jinqiao Duan
Publisher: Cambridge University Press
ISBN: 1107075394
Category : Mathematics
Languages : en
Pages : 313
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Book Description
An accessible introduction for applied mathematicians to concepts and techniques for describing, quantifying, and understanding dynamics under uncertainty.
Author: Bruno Andò
Publisher: Springer Science & Business Media
ISBN: 1461543916
Category : Technology & Engineering
Languages : en
Pages : 222
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Book Description
Stochastic Resonance: Theory and Applications deals with the theory of noise-added systems and in particular with Stochastic Resonance, a quite novel theory that was introduced in the 1980s to provide better understanding of some natural phenomena (e.g. ice age recurrence). Following the very first works, a number of different applications to both natural and human-produced phenomena were proposed. The book aims to improve the understanding of noise-based techniques and to focus on practical applications of this class of phenomena (an aspect that has been very poorly investigated up to now). Based on this objective, the book is roughly divided into two parts. The first part deals with the essential theory of noise-added systems and in particular a new approach to noise-added techniques that allows a number of strategies proposed in previous years to be unified. The proposed approach also allows real-time control of the noise characteristics, assuring optimal system performance. In the second part a large number of applications are described in detail in the field of electric and electronic devices, with the aim of allowing readers to build their own experimental set. The book comes with a diskette of educational software that the authors developed. Stochastic Resonance: Theory and Applications is an invaluable reference for students, researchers and engineering professionals working in the fields of electric and electronic measurements, electronics and signal theory.
Author: Nils Berglund
Publisher: Springer
ISBN: 9781849965477
Category : Mathematics
Languages : en
Pages : 276
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Book Description
Stochastic Differential Equations have become increasingly important in modelling complex systems in physics, chemistry, biology, climatology and other fields. This book examines and provides systems for practitioners to use, and provides a number of case studies to show how they can work in practice.
Author: Jean-Dominique Deuschel
Publisher: Springer Science & Business Media
ISBN: 9783540230335
Category : Computers
Languages : en
Pages : 470
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Book Description
The Research Network on "Interacting stochastic systems of high complexity" set up by the German Research Foundation aimed at exploring and developing connections between research in infinite-dimensional stochastic analysis, statistical physics, spatial population models from mathematical biology, complex models of financial markets or of stochastic models interacting with other sciences. This book presents a structured collection of papers on the core topics, written at the close of the 6-year programme by the research groups who took part in it. The structure chosen highlights the interweaving of certain themes and certain interconnections discovered through the joint work. This yields a reference work on results and methods that will be useful to all who work between applied probability and the physical, economic, and life sciences.
Author: J. Xu
Publisher: IOS Press
ISBN: 1643682717
Category : Technology & Engineering
Languages : en
Pages : 432
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Book Description
New materials are constantly being developed which may improve or transform many aspects of our lives, and nowhere is this more exciting than in the fields of vehicle and machinery technology. This book presents the proceedings of the 2022 International Conference on New Materials, Machinery and Vehicle Engineering (NMMVE 2022), held as a virtual event due to the COVID-19 pandemic and travel restrictions, from 18 - 20 March 2022. NMMVE 2022 provides an international forum for researchers and engineers to present and discuss recent advances, new techniques, and applications in the fields of new materials, machinery and vehicle engineering, and attracts academics, scientists, engineers, postgraduates, and other professionals from a wide range of universities and institutions. A total of 121 submissions were received, from which 48 were accepted for inclusion in the conference and proceeding after a rigorous, standard single-blind reviewing process. The papers are grouped into 3 sections: machinery (30 papers); new materials (11 papers); and vehicle engineering (7 papers). Providing an overview of the latest developments in these fields, the book will be of interest to all those wishing to know more about new materials and machine and vehicle engineering.
Author: Mark D. McDonnell
Publisher: Cambridge University Press
ISBN: 9781107411326
Category : Science
Languages : en
Pages : 0
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Book Description
The stochastic resonance phenomenon has been observed in many forms of systems and has been debated by scientists for 30 years. Applications incorporating aspects of stochastic resonance have yet to prove revolutionary in fields such as distributed sensor networks, nano-electronics, and biomedical prosthetics. The initial chapters review stochastic resonance basics and outline some of the controversies and debates that have surrounded it. The book continues to discuss stochastic quantization in a model where all threshold devices are not necessarily identical, but are still independently noisy. Finally, it considers various constraints and tradeoffs in the performance of stochastic quantizers. Each chapter ends with a review summarizing the main points, and open questions to guide researchers into finding new research directions.
Author: Jean-Pierre Françoise
Publisher: Academic Press
ISBN:
Category : Mathematics
Languages : en
Pages : 608
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Book Description
The Encyclopedia of Mathematical Physics provides a complete resource for researchers, students and lecturers with an interest in mathematical physics. It enables readers to access basic information on topics peripheral to their own areas, to provide a repository of the core information in the area that can be used to refresh the researcher's own memory banks, and aid teachers in directing students to entries relevant to their course-work. The Encyclopedia does contain information that has been distilled, organised and presented as a complete reference tool to the user and a landmark to the body of knowledge that has accumulated in this domain. It also is a stimulus for new researchers working in mathematical physics or in areas using the methods originating from work in mathematical physics by providing them with focused high quality background information. Editorial Board: Jean-Pierre Françoise, Université Pierre et Marie Curie, Paris, France Gregory L. Naber, Drexel University, Philadelphia, PA, USA Tsou Sheung Tsun, University of Oxford, UK Also available online via ScienceDirect (2006) - featuring extensive browsing, searching, and internal cross-referencing between articles in the work, plus dynamic linking to journal articles and abstract databases, making navigation flexible and easy.
