Generalized normal sectors and orbits in exceptional directions
Generalized normal sectors and orbits in exceptional directions
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DOI：
10.1088/0951-7715/17/4/015
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发表时间：
2004-07
期刊：
影响因子：
1.7
通讯作者：
Yilei Tang;Weinian Zhang
中科院分区：
文献类型：
--
作者：
Yilei Tang;Weinian Zhang
In this paper, a method of so-called 'generalized normal sectors' is developed for determining orbits in exceptional directions near high degenerate equilibria for which the well-known methods of normal sectors and Z-sectors are not applicable so that a more extensive class of degenerate equilibria can be discussed for qualitative properties. Our method proves to be effective in the study of high degenerate equilibria in a multi-molecular reaction system at infinity and in a ratio-dependent predator–prey system.
