On the inverse Sturm-Liouville problem for spatially symmetric operators,II |
| |
Authors: | Takashi Suzuki |
| |
Institution: | Department of Mathematics, Faculty of Science, University of Tokyo, Japan |
| |
Abstract: | Using a third order Picard-Fuchs equation we show that a certain two parameter family of planar vectorfields for parameter values in a certain cone has a unique limit cycle, which is born from a Hopf bifurcation and dies in a saddle connection. This removes a superfluous hypothesis in Theorem 3.2, Chapter 13 of S. N. Chow and J. K. Hale (“Methods of Bifurcation Theory,” Springer-Verlag, New York, 1982). |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|