Oscillator And Pendulum With A Random Mass

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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.

The Physics Of Computing

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Author : Luca Gammaitoni
language : en
Publisher: Springer Nature
Release Date : 2021-10-18

The Physics Of Computing written by Luca Gammaitoni and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-18 with Science categories.

This book presents a self-contained introduction to the physics of computing, by addressing the fundamental underlying principles that involve the act of computing, regardless of the actual machine that is used to compute. Questions like “what is the minimum energy required to perform a computation?”, “what is the ultimate computational speed that a computer can achieve?” or “how long can a memory last”, are addressed here, starting from basic physics principles. The book is intended for physicists, engineers, and computer scientists, and it is designed for self-study by researchers who want to enter the field or as the main text for a one semester course at advanced undergraduate or graduate level. The theoretical concepts presented in this book are systematically developed from the very beginning, which only requires basic knowledge in physics and mathematics.

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Author :
language : en
Publisher: IOS Press
Release Date :

written by and has been published by IOS Press this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

Notes On Thermodynamics Hot Oolong Cools

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Author : Hway Chuan Kang
language : en
Publisher: World Scientific
Release Date : 2024-06-11

Notes On Thermodynamics Hot Oolong Cools written by Hway Chuan Kang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-11 with Science categories.

This title is a supplement to lectures and tutorials in a Thermodynamics course and also serves as a guide to more comprehensive texts. Rather than merely hurrying through the principles and then dealing with applications, the book presents the scientific method by discussing the science of thermodynamics starting from empirical observations that are relatable to students. For example, the book uses everyday experiences, such as a cup of hot tea cooling spontaneously, to arrive at the Second Law and Entropy through the idea of the heat engine. All the fundamentals are covered and illustrated with examples that resonate with the broad concerns and interests of students who take STEM classes today. The book examines the thermodynamics of hydrogen and gasoline engines, fuel cells versus the explosive combustion of hydrogen, how efficiently organisms and Spiderman utilize energy, the fizzing of a can of soda and decompression sickness, and how atmospheric carbon dioxide affects ocean pH and, worryingly, dissolves the calcium carbonate shells of marine animals, and also, what might happen if you inadvertently fall into a salt lake.Thermodynamics is presented as the macroscopic approach to understanding Nature when heat is involved. The book draws upon the idea of microstates where that clarifies the macroscopic ideas: entropy of mixing of gases is linked to Boltzmann and Gibbs' entropy formulations, thus motivating the formulation of the chemical potential of non-ideal systems in terms of their activities. Thermodynamics contains deep insight into the passage of Time. In the discussions of the Second Law the book highlights this, emphasizing that all the processes we observe in our universe are irreversible.Adopting an informal and readable style without compromising the rigour in this book, the goal is to help a broad audience of students appreciate the essential meaning of the Laws of Thermodynamics and to apply the fundamental framework at an elementary level.

International Conference On Theory And Application In Nonlinear Dynamics Icand 2012

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Author : Visarath In
language : en
Publisher: Springer
Release Date : 2013-12-13

International Conference On Theory And Application In Nonlinear Dynamics Icand 2012 written by Visarath In and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-13 with Technology & Engineering categories.

A collection of different lectures presented by experts in the field of nonlinear science provides the reader with contemporary, cutting-edge, research works that bridge the gap between theory and device realizations of nonlinear phenomena. Representative examples of topics covered include: chaos gates, social networks, communication, sensors, lasers, molecular motors, biomedical anomalies, stochastic resonance, nano-oscillators for generating microwave signals and related complex systems. A common theme among these and many other related lectures is to model, study, understand, and exploit the rich behavior exhibited by nonlinear systems to design and fabricate novel technologies with superior characteristics. Consider, for instance, the fact that a shark’s sensitivity to electric fields is 400 times more powerful than the most sophisticated electric-field sensor. In spite of significant advances in material properties, in many cases it remains a daunting task to duplicate the superior signal processing capabilities of most animals. Since nonlinear systems tend to be highly sensitive to perturbations when they occur near the onset of a bifurcation, there are also lectures on the general topic of bifurcation theory and on how to exploit such bifurcations for signal enhancements purposes. This manuscript will appeal to researchers interested in both theory and implementations of nonlinear systems.

Topics In Nonlinear Dynamics Volume 3

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Author : D. Adams
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-04-11

Topics In Nonlinear Dynamics Volume 3 written by D. Adams and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-11 with Technology & Engineering categories.

Topics in Nonlinear Dynamics, Volume 3, Proceedings of the 30th IMAC, A Conference and Exposition on Structural Dynamics, 2012, the third volume of six from the Conference, brings together 26 contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Structural Dynamics, including papers on: Application of Nonlinearities: Aerospace Structures Nonlinear Dynamics Effects Under Shock Loading Application of Nonlinearities: Vibration Reduction Nonlinear Dynamics: Testing Nonlinear Dynamics: Simulation Nonlinear Dynamics: Identification Nonlinear Dynamics: Localization

Mechanics And Thermodynamics

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Author : Wolfgang Demtröder
language : en
Publisher: Springer
Release Date : 2017-02-06

Mechanics And Thermodynamics written by Wolfgang Demtröder and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-06 with Science categories.

This introduction to classical mechanics and thermodynamics provides an accessible and clear treatment of the fundamentals. Starting with particle mechanics and an early introduction to special relativity this textbooks enables the reader to understand the basics in mechanics. The text is written from the experimental physics point of view, giving numerous real life examples and applications of classical mechanics in technology. This highly motivating presentation deepens the knowledge in a very accessible way. The second part of the text gives a concise introduction to rotational motion, an expansion to rigid bodies, fluids and gases. Finally, an extensive chapter on thermodynamics and a short introduction to nonlinear dynamics with some instructive examples intensify the knowledge of more advanced topics. Numerous problems with detailed solutions are perfect for self study.

Regular And Chaotic Oscillations

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Author : Polina S. Landa
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-11-12

Regular And Chaotic Oscillations written by Polina S. Landa and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-12 with Mathematics categories.

In this book the modern theory of both regular and chaotic nonlinear oscillations is set out, primarily, as applied to mechanical problems. The material is presented in a nontraditional manner with emphasis on the new results of the theory obtained partially by the author, who is one of the leading experts in the area. Among the up-to-date topics are synchronization and chaotization of self-oscillatory systems and the influence of weak random vibrations on the modification of characteristics and behavior of nonlinear systems. One of the purposes of the book is to enable readers to gain a thorough understanding of this theory and to show that it can be very useful in engineering investigations. The primary audience for this book is researchers working with different oscillatory processes and students interested in a thorough study of the general laws and applications of the theory of nonlinear oscillations.

Mathematics Of Quantum Computation

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Author : Ranee K. Brylinski
language : en
Publisher: CRC Press
Release Date : 2002-02-14

Mathematics Of Quantum Computation written by Ranee K. Brylinski and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-02-14 with Computers categories.

Among the most exciting developments in science today is the design and construction of the quantum computer. Its realization will be the result of multidisciplinary efforts, but ultimately, it is mathematics that lies at the heart of theoretical quantum computer science. Mathematics of Quantum Computation brings together leading computer sc

Principles Of Mathematical Modeling

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Author : Clive Dym
language : en
Publisher: Elsevier
Release Date : 2004-08-10

Principles Of Mathematical Modeling written by Clive Dym and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-08-10 with Mathematics categories.

Science and engineering students depend heavily on concepts of mathematical modeling. In an age where almost everything is done on a computer, author Clive Dym believes that students need to understand and "own" the underlying mathematics that computers are doing on their behalf. His goal for Principles of Mathematical Modeling, Second Edition, is to engage the student reader in developing a foundational understanding of the subject that will serve them well into their careers. The first half of the book begins with a clearly defined set of modeling principles, and then introduces a set of foundational tools including dimensional analysis, scaling techniques, and approximation and validation techniques. The second half demonstrates the latest applications for these tools to a broad variety of subjects, including exponential growth and decay in fields ranging from biology to economics, traffic flow, free and forced vibration of mechanical and other systems, and optimization problems in biology, structures, and social decision making. Prospective students should have already completed courses in elementary algebra, trigonometry, and first-year calculus and have some familiarity with differential equations and basic physics. - Serves as an introductory text on the development and application of mathematical models - Focuses on techniques of particular interest to engineers, scientists, and others who model continuous systems - Offers more than 360 problems, providing ample opportunities for practice - Covers a wide range of interdisciplinary topics--from engineering to economics to the sciences - Uses straightforward language and explanations that make modeling easy to understand and apply New to this Edition: - A more systematic approach to mathematical modeling, outlining ten specific principles - Expanded and reorganized chapters that flow in an increasing level of complexity - Several new problems and updated applications - Expanded figure captions that provide more information - Improved accessibility and flexibility for teaching