Bifurcation phenomena of a forced self-oscillatory system with hard characteristics

✍ Scribed by Kenjiro Yamaguchi; Genji Yorimitsu

• Publisher: John Wiley and Sons
• Year: 1999
• Tongue: English
• Weight: 253 KB
• Volume: 82
• Category: Article
• ISSN: 1042-0967
• DOI: 10.1002/(sici)1520-6440(199909)82:9<1::aid-ecjc1>3.0.co;2-6

✦ Synopsis

There are many reports on the bifurcation phenomena of a forced self-oscillatory system and a hard oscillator. One of them suggested the formation of a forced self-oscillatory system by the Duffingvan der Pol equation with linear restoring term. When the restoring force has a suitable negative linear term, the system has hard characteristics as well as soft oscillation.

This paper deals with the bifurcation phenomena of subharmonic and higher-harmonic oscillations corresponding to the hard characteristics in the system. It is found that the frequencies at the unstable periodic points synchronize with the external force.