The invariant tori for the 2-mode damped, driven sine-Gordon ODE

Chi-Jer Yu*, Jong Eao Lee

*此作品的通信作者

研究成果: Article同行評審

摘要

An algorithm for presenting the entire branches of quasiperiodic solutions starting from the bifurcation points in the branches of periodic solutions in an interval of parameters for the 2-mode damped, driven sine-Gordon ODE is discussed. The algorithm is applied to the other Hopf bifurcation point on the same branch. It is observed that the invariant curves in the new branch behave in opposite ways, i.e. they are relatively much more stable in dynamics yet their geometry is unstable.

原文English
頁(從 - 到)505-509
頁數5
期刊International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
13
發行號2
DOIs
出版狀態Published - 1 1月 2003

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