Bernstein inequalities and applications to analytic geometry and differential equations

被引:41
作者
Francoise, JP [1 ]
Yomdin, Y [1 ]
机构
[1] WEIZMANN INST SCI,DEPT THEORET MATH,IL-76100 REHOVOT,ISRAEL
关键词
D O I
10.1006/jfan.1996.3029
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We introduce new methods of complex analysis (inequalities of Bernstein type) to study projections of analytic sets. These techniques are applied to problems of bifurcations of periodic orbits of differential equations such as the local Hilbert's 16th problem. (C) 1997 Academic Press.
引用
收藏
页码:185 / 205
页数:21
相关论文
共 31 条
[1]  
Bautin N., 1952, MAT SBORNIK, V72, P181
[2]   RELATIONS AMONG ANALYTIC FUNCTIONS-I [J].
BIERSTONE, E ;
MILMAN, PD .
ANNALES DE L INSTITUT FOURIER, 1987, 37 (01) :187-239
[3]  
BRIANCON J, ASTERISQUE, V7, P67
[4]  
Buchberger B., 1970, Aequationes math, V4, P374, DOI 10.1007/BF01844169
[5]  
DENKOWSKA S, 1992, LNM, V1524
[6]  
Francoise J. P., 1995, Random and Computational Dynamics, V3, P265
[7]  
Francoise JP, 1996, B SCI MATH, V120, P1
[8]   Successive derivatives of a first return map, application to the study of quadratic vector fields [J].
Francoise, JP .
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 1996, 16 :87-96
[9]   KEEPING TRACK OF LIMIT-CYCLES [J].
FRANCOISE, JP ;
PUGH, CC .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1986, 65 (02) :139-157
[10]  
FRANCOISE JP, 1994, CR HEBD ACAD SCI, V138, P909