The noisy pendulum

Moshe Gitterman

Research output: Book/ReportBookpeer-review

25 Scopus citations

Abstract

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.

Original languageEnglish
PublisherWorld Scientific Publishing Co.
Number of pages120
ISBN (Electronic)9789812833006
ISBN (Print)9789812832993
DOIs
StatePublished - 1 Jan 2008

Bibliographical note

Publisher Copyright:
© 2008 by World Scientific Publishing Co. Pte. Ltd. All rights reserved.

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