Evaluation of mean values for a forced pendulum with a projection operator method

Kenji Sato, Makoto Okamura

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

Employing a projection operator method, an averaged equation is derived from the equations of motion for a periodically forced pendulum with a damping term. A model equation for the ensemble average is derived from the averaged equation under some assumptions. In addition, the ensemble average is obtained by direct numerical simulation of the pendulum equations. The solutions of the model equation exhibit fair agreement with the numerical solutions for chaotic motion.

Original languageEnglish
Pages (from-to)1-12
Number of pages12
JournalProgress of Theoretical Physics
Volume108
Issue number1
DOIs
Publication statusPublished - Jul 1 2002
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

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