J. Korean Math. Soc. 1999; 36(3): 459-467
Printed May 1, 1999
Copyright © The Korean Mathematical Society.
Gil-Jun Han
A complete analysis of the equation $x'=y,$ $y'=\beta y-\alpha x^2+\alpha^2x+\delta xy,$ where $\alpha$ and $ \beta$ small, describing a particular unfolding of the Takens-Bogdanov singularity is presented.
Keywords: center manifold reduction, normal form, unfolding, codimension, nilpotent singularity
MSC numbers: 34C05, 34C15, 34C23, 34D99
2022; 59(4): 717-731
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd