S(1)-DEGREE AND GLOBAL HOPF-BIFURCATION THEORY OF FUNCTIONAL-DIFFERENTIAL EQUATIONS

被引：39

作者：

ERBE, LH

KRAWCEWICZ, W

GEBA, K

WU, J

机构：

[1] UNIV GDANSK,INST MATH,PL-80952 GDANSK,POLAND

[2] YORK UNIV,DEPT MATH,N YORK M3J 1P3,ONTARIO,CANADA

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1992年 / 98卷 / 02期

关键词：

D O I：

10.1016/0022-0396(92)90094-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The recently developed S1-degree and bifrucation theory are applied to provide a purely topological argument of a global Hopf bifurcation theory for functional differential equations of mixed type. In the special case where the equation is of retarded type, the established result represents an analog of Alexander and Yorke's global Hopf bifurcation theorem which has been obtained by Chow, Fiedler, Mallet-Paret, and Nussbaum, using different approaches. © 1992.

引用

页码：277 / 298

页数：22

共 51 条

[41]

NUSSBAUM RD, 1976, T AM MATH SOC, V238, P139

[42]

Rabinowitz P. H., 1971, J FUNCT ANAL, V7, P487, DOI [10.1016/0022-1236(71)90030-9, DOI 10.1016/0022-1236(71)90030-9]

[43]

RUSTICHINI A, 1989, J DYN DIFFER EQU, V1, P145

[44]

SATTINGER D, 1973, TOPICS STABILITY BIF