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Prog. Theor. Phys. Vol. 108 No. 1 (2002) pp. 1-12

[ Full Text PDF : FREE ACCESS (158K) ]

Evaluation of Mean Values for a Forced Pendulum with a Projection Operator Method

Kenji Sato1,* and Makoto Okamura2,**

1Department of Earth System Science and Technology, Interdisciplinary Graduate School of Engineering Sciences, Kyushu University, Kasuga 816-8580, Japan
2Research Institute for Applied Mechanics, Kyushu University, Kasuga 816-8580, Japan

(Received September 26, 2001)

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.


URL : http://ptp.ipap.jp/link?PTP/108/1/
DOI : 10.1143/PTP.108.1


*Present affiliation: Department of Ocean Sciences, Graduate School of Fisheries, Tokyo University of Fisheries.
**E-mail: okamura@riam.kyushu-u.ac.jp

[ Full Text PDF : FREE ACCESS (158K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 116 No. 1 (2006) pp. 47-59 :
    Evaluation of the Time Correlation Function for the Kuramoto-Sivashinsky Equation with a Projection Operator Method
    Makoto Okamura

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