HOPF BIFURCATIONS IN NONAUTONOMOUS SYSTEMS AT POINTS OF RESONANCE

被引：0

作者：

程崇庆

机构：

[1] Nanjing University

[2] Department of Astronomy

来源：

Science China Mathematics | 1990年 / 02期

关键词：

Hcpf bifurcation; normal form; resonance;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Hopf bifurcations in periodically time-dependent systems are studied at points of resonance. By a new normal form, it is proved that the Poincare map has an invariant cycle emerging from the origin for some degenerate bifurcations. While for nondegenerate bifurcations, of primary interest is the case of 1:4 resonance, the existence and uniqueness of invariant cycle are proved when there is no nonzero fixed point.

引用

页码：206 / 219

页数：14

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