ANALYTICAL DISCUSSION ON THE SELF-OSCILLATIONS IN THE VAN DER POL EQUATION FAR FROM A HARD MODE INSTABILITY POINT.

Shu Ezaki, Kaoru Yamafuji, Kiyoshi Toko, Kouichi Ryu

研究成果: Contribution to journalArticle査読

抄録

A nonperturbative method is presented for describing approximately the behavior of a self-oscillation of electric voltage in the Van der Pol equation over a wide range of the value of external parameter mu . To express an appreciably distorted wave form for the steady self-oscillation at mu greater than greater than 1, a phase F of the voltage x, defined by x equals 2 A cos F ( omega t), is approximated by a combination of several straight lines as a function of omega t from 0 to 2 pi with several numerical coefficients determined mainly from asymptotic behaviors of x for mu less than less than 1 and mu greater than greater than 1. It is shown that the resultant expression for x can describe well the numerical result over the wide range of mu . A bursting phenomenon induced by an oscillation of mu with a long period is also discussed on the basis of the present method, and the analytical results are in good agreement with the numerical ones.

本文言語英語
ページ(範囲)139-145
ページ数7
ジャーナルTransactions of the Institute of Electronics and Communication Engineers of Japan. Section E
E66
2
出版ステータス出版済み - 1983
外部発表はい

All Science Journal Classification (ASJC) codes

  • 工学(全般)

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