A LOCAL HOPF-BIFURCATION THEOREM FOR A CERTAIN CLASS OF IMPLICIT DIFFERENTIAL-EQUATIONS

被引：10

作者：

KACZYNSKI, T

KRAWCEWICZ, W

机构：

[1] UNIV SHERBROOKE, DEPT MATH & INFORMAT, SHERBROOKE J1K 2R1, QUEBEC, CANADA

[2] UNIV ALBERTA, DEPT MATH, EDMONTON T6G 2G1, ALBERTA, CANADA

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 1993年 / 36卷 / 02期

关键词：

D O I：

10.4153/CMB-1993-027-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The local Hopf Bifurcation theorem is extended to implicit differential equations in R(n) of the form x = f(x, x, alpha), which are not solvable for the variable x. The proof uses the S1-degree of convex-valued mappings. An example of an implicit differential equation in R3 to which the presented theorem applies is provided.

引用

页码：183 / 189

页数：7

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