Oscillator and Pendulum with a Random Mass is popular PDF and ePub book, written by Moshe Gitterman in 2015-01-05, it is a fantastic choice for those who relish reading online the Science genre. Let's immerse ourselves in this engaging Science book by exploring the summary and details provided below. Remember, Oscillator and Pendulum with a Random Mass can be Read Online from any device for your convenience.
Oscillator and Pendulum with a Random Mass Book PDF Summary
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. Contents:IntroductionOscillator with Random MassPendulum with a Random Mass Readership: Students and researchers working in statistical physics. Key Features:The first book dedicated specially to this new fieldProvides pedagogical presentationContains applications to many different problemsKeywords:Stochastic Oscillator;Stochastic Pendulum;Stochastic Resonance;Vibrating ResonanceReviews: "This is a good introductory book to both random mechanics and stochastic differential equations." Zentralblatt MATH
Detail Book of Oscillator and Pendulum with a Random Mass PDF
- Author : Moshe Gitterman
- Release : 05 January 2015
- Publisher : World Scientific
- ISBN : 9789814630764
- Genre : Science
- Total Page : 160 pages
- Language : English
- PDF File Size : 10,7 Mb
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