OSCILLATOR AND PENDULUM WITH A RANDOM MASS
Moshe Gitterman
Gebundenes Buch

OSCILLATOR AND PENDULUM WITH A RANDOM MASS

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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 th...