Store besparelser
Hurtig levering
Gemte
Log ind
0
Kurv
Bøger
Bestsellers
Kommer snart
Nyheder
Spil og hobby
Hjem
Kategorier
Bestsellers
Kommer snart
Nyheder
FAQ
Konto
Kontakt
Kurv
  1. Bog
  2. Anvendt matematik
  3. Stokastik

Oscillator And Pendulum With A Random Mass

Af: Moshe Gitterman Engelsk Hardback

Oscillator And Pendulum With A Random Mass

Af: Moshe Gitterman Engelsk Hardback
Tjek vores konkurrenters priser

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.

Vis mere
Tjek vores konkurrenters priser
Normalpris
kr 787
Fragt: 39 kr
6 - 8 hverdage
20 kr
Pakkegebyr
God 4 anmeldelser på
Tjek vores konkurrenters priser

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.

Vis mere
Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 160
ISBN-13: 9789814630740
Indbinding: Hardback
Udgave:
ISBN-10: 9814630748
Kategori: Stokastik
Udg. Dato: 4 mar 2015
Længde: 18mm
Bredde: 158mm
Højde: 239mm
Forlag: World Scientific Publishing Co Pte Ltd
Oplagsdato: 4 mar 2015
Forfatter(e): Moshe Gitterman
Forfatter(e) Moshe Gitterman

Kategori Stokastik

ISBN-13 9789814630740

Sprog Engelsk

Indbinding Hardback

Sider 160

Udgave

Længde 18mm

Bredde 158mm

Højde 239mm

Udg. Dato 4 mar 2015

Oplagsdato 4 mar 2015

Forlag World Scientific Publishing Co Pte Ltd

Kategori sammenhænge