Coalescence of the primary responses and the secondary responses in a nonautonomous system

Yung Chia Hsiao, Pi Cheng Tung

研究成果: 雜誌貢獻期刊論文同行評審

1 引文 斯高帕斯(Scopus)

摘要

Many investigations illustrated that secondary responses coexist with primary responses in nonautonomous systems. The secondary responses are subharmonic outputs that do not bifurcate from the primary responses. In this study, a coalescence of the primary responses and the secondary responses in a coupled asymmetric system is found. A subharmonic orbit of the primary responses coalesces with a subharmonic orbit of the secondary responses via a saddle-node bifurcation in a specific parameter range. To analyze the coalescence of the responses, periodic orbits and subharmonic orbits are detected by using the shooting method and the frequency responses are obtained through the harmonic balance method. Besides, the stability of the obtained orbits is performed using the Floquet theory. The analytical results demonstrate that the new phenomenon occurs in the nonautonomous system.

原文???core.languages.en_GB???
頁(從 - 到)237-248
頁數12
期刊Physics Letters, Section A: General, Atomic and Solid State Physics
291
發行號4-5
DOIs
出版狀態已出版 - 10 12月 2001

指紋

深入研究「Coalescence of the primary responses and the secondary responses in a nonautonomous system」主題。共同形成了獨特的指紋。

引用此