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Noisy Oscillator The Random Mass Frequency Damping 2nd Edition
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Book Synopsis Noisy Oscillator, The: Random Mass, Frequency, Damping (2nd Edition) by : Moshe Gitterman
Download or read book Noisy Oscillator, The: Random Mass, Frequency, Damping (2nd Edition) written by Moshe Gitterman and published by World Scientific Publishing Company. This book was released on 2012-12-18 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: The properties of the harmonic oscillator with random frequency or/and random damping formed the content of the first edition. The second edition includes hundreds of publications on this subject since 2005. The noisy oscillator continues to be the subject of intensive studies in physics, chemistry, biology, and social sciences.The new and the latest type of a stochastic oscillator has also been considered, namely, an oscillator with random mass. Such model describes, among other phenomena, Brownian motion with adhesion, where the molecules of the surrounding medium not only randomly collide, but also stick to the Brownian particle for some (random) time, thereby changing its mass. This edition contains two new chapters, eight new sections and an expanded bibliography. A wide group of researchers, students and teachers will benefit from this book.
Book Synopsis Oscillator And Pendulum With A Random Mass by : Moshe Gitterman
Download or read book Oscillator And Pendulum With A Random Mass written by Moshe Gitterman and published by World Scientific. This book was released on 2015-01-05 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic descriptions of a harmonic oscillator can be obtained by adding additive noise, or/and three types of multiplicative noise: random frequency, random damping and random mass. The first three types of noise were intensively studied in many published articles. In this book the fourth case, that of random mass, is considered in the context of the harmonic oscillator and its immediate nonlinear generalization — the pendulum. To our knowledge it is the first book fully dedicated to this problem.Two interrelated methods, the Langevin equation and the Fokker-Planck equations, as well as the Lyapunov stability method are used for the mathematical analysis. After a short introduction, the two main parts of the book describe the different properties of the random harmonic oscillator and the random pendulum with random masses. As an example, the stochastic resonance is studied, where the noise plays an unusual role, increasing the applied weak periodic signal, and also the vibration resonance in dynamic systems, where the role of noise is played by the second high-frequency periodic signal.First and second averaged moments have been calculated for a system with different types of additive and multiplicative noises, which define the stability of a system. The calculations have been extended to two multiplicative noises and to quadratic noise. This book is useful for students and scientists working in different fields of statistical physics.
Book Synopsis The Noisy Oscillator by : M. Gitterman
Download or read book The Noisy Oscillator written by M. Gitterman and published by World Scientific. This book was released on 2005 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic Processes; Fluctuation Phenomena; Classical Statistical Mechanics; Oscillator; Brownian Motion; Stochastic Resonance; Multiplicative Noise.
Book Synopsis Noisy Oscillator, The: The First Hundred Years, From Einstein Until Now by : Moshe Gitterman
Download or read book Noisy Oscillator, The: The First Hundred Years, From Einstein Until Now written by Moshe Gitterman and published by World Scientific. This book was released on 2005-11-09 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains comprehensive descriptions of stochastic processes described by underdamped and overdamped oscillator equations with additive and multiplicative random forcing. The latter is associated with random frequency or random damping. The coverage includes descriptions of various new phenomena discovered in the last hundred years since the explanation of Brownian motion by Einstein, Smoluchovski and Langevin, such as the shift of stable points, noise-enhanced stability, stochastic resonance, resonant activation, and stabilization of metastable states. In addition to many applications in physics, chemistry, biology, medicine, economics and sociology, these discoveries have clarified the deep relationship between determinism and stochasticity, which turns out to be complimentary rather than contradictory, with noise playing both constructive and destructive roles.
Book Synopsis Bounded Noises in Physics, Biology, and Engineering by : Alberto d'Onofrio
Download or read book Bounded Noises in Physics, Biology, and Engineering written by Alberto d'Onofrio and published by Springer Science & Business Media. This book was released on 2013-09-12 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the parameters in dynamical systems of biological interest are inherently positive and bounded, bounded noises are a natural way to model the realistic stochastic fluctuations of a biological system that are caused by its interaction with the external world. Bounded Noises in Physics, Biology, and Engineering is the first contributed volume devoted to the modeling of bounded noises in theoretical and applied statistical mechanics, quantitative biology, and mathematical physics. It gives an overview of the current state-of-the-art and is intended to stimulate further research. The volume is organized in four parts. The first part presents the main kinds of bounded noises and their applications in theoretical physics. The theory of bounded stochastic processes is intimately linked to its applications to mathematical and statistical physics, and it would be difficult and unnatural to separate the theory from its physical applications. The second is devoted to framing bounded noises in the theory of random dynamical systems and random bifurcations, while the third is devoted to applications of bounded stochastic processes in biology, one of the major areas of potential applications of this subject. The final part concerns the application of bounded stochastic processes in mechanical and structural engineering, the area where the renewed interest for non-Gaussian bounded noises started. Pure mathematicians working on stochastic calculus will find here a rich source of problems that are challenging from the point of view of contemporary nonlinear analysis. Bounded Noises in Physics, Biology, and Engineering is intended for scientists working on stochastic processes with an interest in both fundamental issues and applications. It will appeal to a broad range of applied mathematicians, mathematical biologists, physicists, engineers, and researchers in other fields interested in complexity theory. It is accessible to anyone with a working knowledge of stochastic modeling, from advanced undergraduates to senior researchers.
Book Synopsis The Shock and Vibration Bulletin by :
Download or read book The Shock and Vibration Bulletin written by and published by . This book was released on 1966 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Random Fields for Spatial Data Modeling by : Dionissios T. Hristopulos
Download or read book Random Fields for Spatial Data Modeling written by Dionissios T. Hristopulos and published by Springer Nature. This book was released on 2020-02-17 with total page 884 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an inter-disciplinary introduction to the theory of random fields and its applications. Spatial models and spatial data analysis are integral parts of many scientific and engineering disciplines. Random fields provide a general theoretical framework for the development of spatial models and their applications in data analysis. The contents of the book include topics from classical statistics and random field theory (regression models, Gaussian random fields, stationarity, correlation functions) spatial statistics (variogram estimation, model inference, kriging-based prediction) and statistical physics (fractals, Ising model, simulated annealing, maximum entropy, functional integral representations, perturbation and variational methods). The book also explores links between random fields, Gaussian processes and neural networks used in machine learning. Connections with applied mathematics are highlighted by means of models based on stochastic partial differential equations. An interlude on autoregressive time series provides useful lower-dimensional analogies and a connection with the classical linear harmonic oscillator. Other chapters focus on non-Gaussian random fields and stochastic simulation methods. The book also presents results based on the author’s research on Spartan random fields that were inspired by statistical field theories originating in physics. The equivalence of the one-dimensional Spartan random field model with the classical, linear, damped harmonic oscillator driven by white noise is highlighted. Ideas with potentially significant computational gains for the processing of big spatial data are presented and discussed. The final chapter concludes with a description of the Karhunen-Loève expansion of the Spartan model. The book will appeal to engineers, physicists, and geoscientists whose research involves spatial models or spatial data analysis. Anyone with background in probability and statistics can read at least parts of the book. Some chapters will be easier to understand by readers familiar with differential equations and Fourier transforms.
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1971 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Universality in Chaos, 2nd edition by : P Cvitanovic
Download or read book Universality in Chaos, 2nd edition written by P Cvitanovic and published by Routledge. This book was released on 2017-07-12 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nature provides many examples of physical systems that are described by deterministic equations of motion, but that nevertheless exhibit nonpredictable behavior. The detailed description of turbulent motions remains perhaps the outstanding unsolved problem of classical physics. In recent years, however, a new theory has been formulated that succeeds in making quantitative predictions describing certain transitions to turbulence. Its significance lies in its possible application to large classes (often very dissimilar) of nonlinear systems. Since the publication of Universality in Chaos in 1984, progress has continued to be made in our understanding of nonlinear dynamical systems and chaos. This second edition extends the collection of articles to cover recent developments in the field, including the use of statistical mechanics techniques in the study of strange sets arising in dynamics. It concentrates on the universal aspects of chaotic motions, the qualitative and quantitative predictions that apply to large classes of physical systems. Much like the previous edition, this book will be an indispensable reference for researchers and graduate students interested in chaotic dynamics in the physical, biological, and mathematical sciences as well as engineering.
Book Synopsis Foundations of Vibroacoustics by : Colin Hansen
Download or read book Foundations of Vibroacoustics written by Colin Hansen and published by CRC Press. This book was released on 2018-03-05 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides the foundation material for solving problems in vibroacoustics. These include the prediction of structural vibration levels and sound pressure levels in enclosed spaces resulting from known force or acoustic pressure excitations and the prediction of sound levels radiated by vibrating structures. The book also provides an excellent theoretical basis for understanding the processes involved in software that predicts structural vibration levels and structural sound radiation resulting from force excitation of the structure, as well as sound levels in enclosed spaces resulting from vibration of part of the enclosing structure or resulting from acoustic sources within the enclosure. The book is written in an easy to understand style with detailed explanations of important concepts. It begins with fundamental concepts in vibroacoustics and provides a framework for problem solution in both low and high frequency ranges. It forms a primer for students, and for those already well versed in vibroacoustics, the book provides an extremely useful reference. It offers a unified treatment of both acoustics and vibration fundamentals to provide a basis for solving problems involving structural vibration, sound radiation from vibrating structures, sound in enclosed spaces, and propagation of sound and vibration.
Download or read book The Shock and Vibration Digest written by and published by . This book was released on 1984 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bridge Maintenance, Safety, Management, Resilience and Sustainability by : Fabio Biondini
Download or read book Bridge Maintenance, Safety, Management, Resilience and Sustainability written by Fabio Biondini and published by CRC Press. This book was released on 2012-06-21 with total page 4119 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bridge Maintenance, Safety, Management, Resilience and Sustainability contains the lectures and papers presented at The Sixth International Conference on Bridge Maintenance, Safety and Management (IABMAS 2012), held in Stresa, Lake Maggiore, Italy, 8-12 July, 2012. This volume consists of a book of extended abstracts (800 pp) Extensive collection of revised expert papers on recent advances in bridge maintenance, safety, management and life-cycle performance, representing a major contribution to the knowledge base of all areas of the field.
Book Synopsis Proceedings of the ASME Noise Control and Acoustics Division by :
Download or read book Proceedings of the ASME Noise Control and Acoustics Division written by and published by . This book was released on 1996 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Microelectromechanical Systems written by and published by . This book was released on 2004 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nuclear Physics, Neutron Physics And Nuclear Energy - Proceedings The Ix International School by : W Andrejtscheff
Download or read book Nuclear Physics, Neutron Physics And Nuclear Energy - Proceedings The Ix International School written by W Andrejtscheff and published by World Scientific. This book was released on 1990-07-04 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: The properties of the harmonic oscillator with random frequency or/and random damping formed the content of the first edition. The second edition includes hundreds of publications on this subject since 2005. The noisy oscillator continues to be the subject of intensive studies in physics, chemistry, biology, and social sciences.The new and the latest type of a stochastic oscillator has also been considered, namely, an oscillator with random mass. Such model describes, among other phenomena, Brownian motion with adhesion, where the molecules of the surrounding medium not only randomly collide, but also stick to the Brownian particle for some (random) time, thereby changing its mass. This edition contains two new chapters, eight new sections and an expanded bibliography. A wide group of researchers, students and teachers will benefit from this book.
Book Synopsis Phase Noise and Frequency Stability in Oscillators by : Enrico Rubiola
Download or read book Phase Noise and Frequency Stability in Oscillators written by Enrico Rubiola and published by Cambridge University Press. This book was released on 2010-06-10 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting a comprehensive account of oscillator phase noise and frequency stability, this practical text is both mathematically rigorous and accessible. An in-depth treatment of the noise mechanism is given, describing the oscillator as a physical system, and showing that simple general laws govern the stability of a large variety of oscillators differing in technology and frequency range. Inevitably, special attention is given to amplifiers, resonators, delay lines, feedback, and flicker (1/f) noise. The reverse engineering of oscillators based on phase-noise spectra is also covered, and end-of-chapter exercises are given. Uniquely, numerous practical examples are presented, including case studies taken from laboratory prototypes and commercial oscillators, which allow the oscillator internal design to be understood by analyzing its phase-noise spectrum. Based on tutorials given by the author at the Jet Propulsion Laboratory, international IEEE meetings, and in industry, this is a useful reference for academic researchers, industry practitioners, and graduate students in RF engineering and communications engineering.
Book Synopsis Mechatronic Systems Design by : Klaus Janschek
Download or read book Mechatronic Systems Design written by Klaus Janschek and published by Springer Science & Business Media. This book was released on 2011-09-18 with total page 815 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this textbook, fundamental methods for model-based design of mechatronic systems are presented in a systematic, comprehensive form. The method framework presented here comprises domain-neutral methods for modeling and performance analysis: multi-domain modeling (energy/port/signal-based), simulation (ODE/DAE/hybrid systems), robust control methods, stochastic dynamic analysis, and quantitative evaluation of designs using system budgets. The model framework is composed of analytical dynamic models for important physical and technical domains of realization of mechatronic functions, such as multibody dynamics, digital information processing and electromechanical transducers. Building on the modeling concept of a technology-independent generic mechatronic transducer, concrete formulations for electrostatic, piezoelectric, electromagnetic, and electrodynamic transducers are presented. More than 50 fully worked out design examples clearly illustrate these methods and concepts and enable independent study of the material.
