ENGLISH

The Noisy Pendulum

By Moshe Gitterman

Book information

Publisher
World Scientific Publishing Company
Year
2008
ISBN
9812832998
LCC
QA862.P4 .G58 2008
Open Library ID
OL17030410M
Language
english
Format
PDF
Filesize
5 MB (4734322 bytes)
Pages
133\133
Topic
Physics
Library
avaxhome.ws
Time added
2010-05-31 11:26:18

Description

This book contains the general description of the mathematical pendulum subject to constant torque, periodic and random forces. The latter appear in additive and multiplicative form with their possible correlation. For the underdamped pendulum driven by periodic forces, a new phenomenon -- deterministic chaos -- comes into play, and the common action of this chaos and the influence of noise are taken into account. The inverted position of the pendulum can be stabilized either by periodic or random oscillations of the suspension axis or by inserting a spring into a rigid rod, or by their combination. The pendulum is one of the simplest nonlinear models, which has many applications in physics, chemistry, biology, medicine, communications, economics and sociology. A wide group of researchers working in these fields, along with students and teachers, will benefit from this book. Contents: Formulation of the Problem; Overdamped Pendulum; Underdamped Pendulum; Deterministic Chaos; Inverted Pendulum.

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