How Long to Read Oscillator and Pendulum with a Random Mass

How Long Does it Take to Read Oscillator and Pendulum with a Random Mass?

It takes the average reader 2 hours and 40 minutes to read Oscillator and Pendulum with a Random Mass by Moshe Gitterman

Assuming a reading speed of 250 words per minute. Learn more

Description

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

How long is Oscillator and Pendulum with a Random Mass?

Oscillator and Pendulum with a Random Mass by Moshe Gitterman is 160 pages long, and a total of 40,000 words.

This makes it 54% the length of the average book. It also has 49% more words than the average book.

How Long Does it Take to Read Oscillator and Pendulum with a Random Mass Aloud?

The average oral reading speed is 183 words per minute. This means it takes 3 hours and 38 minutes to read Oscillator and Pendulum with a Random Mass aloud.

What Reading Level is Oscillator and Pendulum with a Random Mass?

Oscillator and Pendulum with a Random Mass is suitable for students ages 10 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Oscillator and Pendulum with a Random Mass?

Oscillator and Pendulum with a Random Mass by Moshe Gitterman is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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