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.
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页码：183 / 189
页数：7
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