BOUNDS ON THE UNSTABLE EIGENVALUE FOR PERIOD DOUBLING

被引：16

作者：

ECKMANN, JP

EPSTEIN, H

机构：

[1] INST HAUTES ETUD SCI,F-91440 BURES SUR YVETTE,FRANCE

[2] CNRS,BURES SUR YVETTE,FRANCE

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1990年 / 128卷 / 02期

关键词：

D O I：

10.1007/BF02108789

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Bounds are given for the unstable eigenvalue of the period-doubling operator for unimodal maps of the interval. These bounds hold for all types of behaviour |x|r of the interval map near its critical point. They are obtained by finding cones in function space which are invariant under the tangent map to the doubling operator at its fixed point. © 1990 Springer-Verlag.

引用

页码：427 / 435

页数：9

共 50 条

[1] Bounds on the Unstable Eigenvalue for the Asymmetric Renormalization Operator for Period Doubling
B.D. Mestel
A.H. Osbaldestin
A.V. Tsygvintsev
Communications in Mathematical Physics, 2004, 250 : 241 - 257
[2] Bounds on the unstable eigenvalue for the asymmetric renormalization operator for period doubling
Mestel, BD
Osbaldestin, AH
Tsygvintsev, A
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2004, 250 (02) : 241 - 257
[3] Unstable period doubling vibrations in highly interrupted cutting processes
Stepan, G
Szalai, R
PROCEEDINGS OF THE 5TH INTERNATIONAL CONFERENCE ON VIBRATION ENGINEERING, 2002, : 375 - 380
[4] PERIOD DOUBLING GAINED, PERIOD DOUBLING LOST
BAYLISS, A
MATKOWSKY, BJ
MINKOFF, M
SIAM JOURNAL ON APPLIED MATHEMATICS, 1989, 49 (04) : 1047 - 1063
[5] FROM QUASIPERIODICITY TO CHAOS - AN UNSTABLE SCENARIO VIA PERIOD-DOUBLING BIFURCATIONS OF TORI
ARGOUL, F
ARNEODO, A
JOURNAL DE MECANIQUE THEORIQUE ET APPLIQUEE, 1984, : 241 - 288
[6] GUARANTEED EIGENVALUE BOUNDS FOR THE STEKLOV EIGENVALUE PROBLEM
You, Chun'guang
Xie, Hehu
Liu, Xuefeng
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2019, 57 (03) : 1395 - 1410
[7] IMPROVING EIGENVALUE BOUNDS USING EXTRA BOUNDS
MERIKOSKI, JK
WOLKOWICZ, H
LINEAR ALGEBRA AND ITS APPLICATIONS, 1985, 68 (JUL) : 93 - 113
[8] Chaotic period doubling
Chandramouli, V. V. M. S.
Martens, M.
De Melo, W.
Tresser, C. P.
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2009, 29 : 381 - 418
[9] ANALYTICS OF PERIOD DOUBLING
PHILLIPSON, PE
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1987, 111 (01) : 137 - 149
[10] Explicit bounds of the first eigenvalue
陈木法
Science China Mathematics, 2000, (10) : 1051 - 1059

← 1 2 3 4 5 →