The Noisy Pendulum
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The Noisy Pendulum
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Author : M. Gitterman
language : en
Publisher: World Scientific
Release Date : 2008
The Noisy Pendulum written by M. Gitterman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
This book contains the general description of the mathematical pendulum subject to constant torque, periodic and random forces. The latter appear in additive and multiplicative form with their possible correlation. For the underdamped pendulum driven by periodic forces, a new phenomenon OCo deterministic chaos OCo comes into play, and the common action of this chaos and the influence of noise are taken into account. The inverted position of the pendulum can be stabilized either by periodic or random oscillations of the suspension axis or by inserting a spring into a rigid rod, or by their combination. The pendulum is one of the simplest nonlinear models, which has many applications in physics, chemistry, biology, medicine, communications, economics and sociology. A wide group of researchers working in these fields, along with students and teachers, will benefit from this book.
Oscillator And Pendulum With A Random Mass
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Author : Moshe Gitterman
language : en
Publisher: World Scientific
Release Date : 2015-01-05
Oscillator And Pendulum With A Random Mass written by Moshe Gitterman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-05 with Science categories.
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.
A Simple Explanation Of The Pendulum Experiment
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Author : Mason Mulgan
language : en
Publisher:
Release Date : 1851
A Simple Explanation Of The Pendulum Experiment written by Mason Mulgan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1851 with categories.
The Chaotic Pendulum
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Author : M. Gitterman
language : en
Publisher: World Scientific
Release Date : 2010
The Chaotic Pendulum written by M. Gitterman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Science categories.
The chaotic behavior of pendulum is usually associated with the random force acting on a pendulum (Brownian motion). This book presents a comprehensive description of these phenomena going on in underdamped and overdamped pendula subject to additive and multiplicative periodic and random forces.
Seven Tales Of The Pendulum
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Author : Gregory L. Baker
language : en
Publisher: Oxford University Press
Release Date : 2011-02-24
Seven Tales Of The Pendulum written by Gregory L. Baker and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-24 with Mathematics categories.
Includes bibliographical references and index.
The Chaotic Pendulum
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Author : Moshe Gitterman
language : en
Publisher: World Scientific
Release Date : 2010-09-07
The Chaotic Pendulum written by Moshe Gitterman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-07 with Science categories.
Pendulum is the simplest nonlinear system, which, however, provides the means for the description of different phenomena in Nature that occur in physics, chemistry, biology, medicine, communications, economics and sociology. The chaotic behavior of pendulum is usually associated with the random force acting on a pendulum (Brownian motion). Another type of chaotic motion (deterministic chaos) occurs in nonlinear systems with only few degrees of freedom. This book presents a comprehensive description of these phenomena going on in underdamped and overdamped pendula subject to additive and multiplicative periodic and random forces. No preliminary knowledge, such as complex mathematical or numerical methods, is required from a reader other than undergraduate courses in mathematical physics. A wide group of researchers, along with students and teachers will, thus, benefit from this definitive book on nonlinear dynamics.
The Geognostic Pendulum Or An Enquiry Into The Theory Of The Pendulum Experiment
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Author : Francis Roubiliac Conder
language : en
Publisher:
Release Date : 1851
The Geognostic Pendulum Or An Enquiry Into The Theory Of The Pendulum Experiment written by Francis Roubiliac Conder and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1851 with Foucault's pendulum categories.
Influence Of The Colored Noise On Determining The Period Of A Torsion Pendulum Project Supported By The National Natural Science Foundation Of China Grant Nos 11175160 11275075 And 11575160
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Author :
language : en
Publisher:
Release Date : 2016
Influence Of The Colored Noise On Determining The Period Of A Torsion Pendulum Project Supported By The National Natural Science Foundation Of China Grant Nos 11175160 11275075 And 11575160 written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with categories.
The Pendulum Paradigm
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Author : Martin Beech
language : en
Publisher: Universal-Publishers
Release Date : 2014
The Pendulum Paradigm written by Martin Beech and has been published by Universal-Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Technology & Engineering categories.
The pendulum is perhaps the simplest experimental devices ever constructed, and yet for all its simplicity it has historically enabled scientists to both investigate and enumerate gravity; the fundamental force that shapes the very universe. The pendulum has also allowed astronomers and geologists to measure the motion, mass and distribution of matter within the Earth, and its stately swing is at the very heartbeat of time. This book explores the many applications of the pendulum, from its employment as a fundamental experimental device, such as in the Cavendish torsion balance for measuring the universal gravitational constant, to its everyday, practical use in geology, astronomy and horology.
The Pendulum Book
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Author : Jack F Chandu
language : en
Publisher: Random House
Release Date : 2011-05-31
The Pendulum Book written by Jack F Chandu and has been published by Random House this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-31 with Body, Mind & Spirit categories.
The science of using a pendulum or a divining road, also known as dowsing, consists of obtaining information from or through the subconscious, by subconsciously making a pendulum or divining rod move. From finding lost objects to making contact with your subconscious, once you have mastered the use of the pendulum you will find countless opportunities for its use. These step-by-step instructions and exercises are easy to follow. Most people find that they achieve results by the third day of practice. No special aptitude is required; anyone who is prepared to apply themselves seriously will learn how to use the pendulum successfully.