Period doubling bifurcation and chaos observed in regions of higher-harmonic entrainment in the forced Rayleigh oscillator
✍ Scribed by Naohiko Inaba; Ryo Fujimoto; Hiroshi Kawakami; Tetsuya Yoshinaga
- Publisher
- John Wiley and Sons
- Year
- 2000
- Tongue
- English
- Weight
- 170 KB
- Volume
- 83
- Category
- Article
- ISSN
- 8756-663X
No coin nor oath required. For personal study only.
✦ Synopsis
In this article, bifurcation phenomena from the fundamental to the sixth higher-harmonic entrainment of a forced Rayleigh oscillator are studied. Of the fundamental to the sixth higher-harmonic entrainment regions, the saddle node bifurcation draws a closed loop, and no complex bifurcation structures are seen on the odd higher-harmonic entrainment region. In the even higher-harmonic entrainment region, a symmetry-breaking bifurcation is generated when the saddle node bifurcation approaches the Neimark Sacker bifurcation. Subsequently, period-doubling bifurcation is generated so that chaos is also generated.