Stochastic Resonance

Author : Mark D. McDonnell
Publisher : Cambridge University Press
ISBN 13 : 9780521882620
Total Pages : 448 pages
Book Rating : 4.21/5 ( download)

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Download or read book Stochastic Resonance written by Mark D. McDonnell and published by Cambridge University Press. This book was released on 2008-10-02 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Bruno Andò
Publisher : Springer Science & Business Media
ISBN 13 : 1461543916
Total Pages : 222 pages
Book Rating : 4.16/5 ( download)

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Download or read book Stochastic Resonance written by Bruno Andò and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Samuel Herrmann
Publisher : American Mathematical Soc.
ISBN 13 : 1470410494
Total Pages : 209 pages
Book Rating : 4.90/5 ( download)

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Download or read book Stochastic Resonance written by Samuel Herrmann and published by American Mathematical Soc.. This book was released on 2013-12-11 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Sergey M. Bezrukov
Publisher : Springer Science & Business Media
ISBN 13 : 9780735401273
Total Pages : 644 pages
Book Rating : 4.76/5 ( download)

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Download or read book Unsolved Problems of Noise and Fluctuations written by Sergey M. Bezrukov and published by Springer Science & Business Media. This book was released on 2003-06-02 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: All papers in this proceedings volume were peer reviewed. The purview of this third conference was shifted toward biology and medicine. Among the topics covered were: the constructive role of noise in the central nervous system, neuronal networks, and sensory transduction (hearing in humans, photo- and electroreception in marine animals), encoding of information into nerve pulse trains, single molecules and noise (including single molecule detection and characterization by nanopores - molecular "Coulter counting"), concepts of noise in neurophysiology (randomness and order in brain and heart electrical activities under normal conditions and in pathology), the role of noise in genetic regulation and gene expression, biosensors, etc.

Author : Jan Awrejcewicz
Publisher : BoD – Books on Demand
ISBN 13 : 953513633X
Total Pages : 256 pages
Book Rating : 4.30/5 ( download)

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Download or read book Resonance written by Jan Awrejcewicz and published by BoD – Books on Demand. This book was released on 2017-11-29 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Resonance is a common phenomenon, which is observed both in nature and in numerous devices and structures. It occurs in literally all types of vibrations. To mention just a few examples, acoustic, mechanical, or electromagnetic resonance can be distinguished. In the present book, 12 chapters dealing with different aspects of resonance phenomena have been presented.

Author : Mark D. McDonnell
Publisher : Cambridge University Press
ISBN 13 : 9781107411326
Total Pages : 0 pages
Book Rating : 4.27/5 ( download)

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Download or read book Stochastic Resonance written by Mark D. McDonnell and published by Cambridge University Press. This book was released on 2012-10-25 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Grigorios A. Pavliotis
Publisher : Springer
ISBN 13 : 1493913239
Total Pages : 345 pages
Book Rating : 4.37/5 ( download)

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Download or read book Stochastic Processes and Applications written by Grigorios A. Pavliotis and published by Springer. This book was released on 2014-11-19 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents various results and techniques from the theory of stochastic processes that are useful in the study of stochastic problems in the natural sciences. The main focus is analytical methods, although numerical methods and statistical inference methodologies for studying diffusion processes are also presented. The goal is the development of techniques that are applicable to a wide variety of stochastic models that appear in physics, chemistry and other natural sciences. Applications such as stochastic resonance, Brownian motion in periodic potentials and Brownian motors are studied and the connection between diffusion processes and time-dependent statistical mechanics is elucidated. The book contains a large number of illustrations, examples, and exercises. It will be useful for graduate-level courses on stochastic processes for students in applied mathematics, physics and engineering. Many of the topics covered in this book (reversible diffusions, convergence to equilibrium for diffusion processes, inference methods for stochastic differential equations, derivation of the generalized Langevin equation, exit time problems) cannot be easily found in textbook form and will be useful to both researchers and students interested in the applications of stochastic processes.

Author : Jan Walleczek
Publisher : Cambridge University Press
ISBN 13 : 1139427598
Total Pages : 444 pages
Book Rating : 4.93/5 ( download)

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Download or read book Self-Organized Biological Dynamics and Nonlinear Control written by Jan Walleczek and published by Cambridge University Press. This book was released on 2006-04-20 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: The growing impact of nonlinear science on biology and medicine is fundamentally changing our view of living organisms and disease processes. This book introduces the application to biomedicine of a broad range of interdisciplinary concepts from nonlinear dynamics, such as self-organization, complexity, coherence, stochastic resonance, fractals and chaos. It comprises 18 chapters written by leading figures in the field and covers experimental and theoretical research, as well as the emerging technological possibilities such as nonlinear control techniques for treating pathological biodynamics, including heart arrhythmias and epilepsy. This book will attract the interest of professionals and students from a wide range of disciplines, including physicists, chemists, biologists, sensory physiologists and medical researchers such as cardiologists, neurologists and biomedical engineers.

Author : Sidney Redner
Publisher : Cambridge University Press
ISBN 13 : 0521652480
Total Pages : 332 pages
Book Rating : 4.83/5 ( download)

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Download or read book A Guide to First-Passage Processes written by Sidney Redner and published by Cambridge University Press. This book was released on 2001-08-06 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: The basic theory presented in a way which emphasizes intuition, problem-solving and the connections with other fields.

Author : Emil Simiu
Publisher : Princeton University Press
ISBN 13 : 1400832500
Total Pages : 244 pages
Book Rating : 4.07/5 ( download)

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Download or read book Chaotic Transitions in Deterministic and Stochastic Dynamical Systems written by Emil Simiu and published by Princeton University Press. This book was released on 2014-09-08 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classical Melnikov method provides information on the behavior of deterministic planar systems that may exhibit transitions, i.e. escapes from and captures into preferred regions of phase space. This book develops a unified treatment of deterministic and stochastic systems that extends the applicability of the Melnikov method to physically realizable stochastic planar systems with additive, state-dependent, white, colored, or dichotomous noise. The extended Melnikov method yields the novel result that motions with transitions are chaotic regardless of whether the excitation is deterministic or stochastic. It explains the role in the occurrence of transitions of the characteristics of the system and its deterministic or stochastic excitation, and is a powerful modeling and identification tool. The book is designed primarily for readers interested in applications. The level of preparation required corresponds to the equivalent of a first-year graduate course in applied mathematics. No previous exposure to dynamical systems theory or the theory of stochastic processes is required. The theoretical prerequisites and developments are presented in the first part of the book. The second part of the book is devoted to applications, ranging from physics to mechanical engineering, naval architecture, oceanography, nonlinear control, stochastic resonance, and neurophysiology.