A RENORMALIZATION APPROACH TO INVARIANT CIRCLES IN AREA-PRESERVING MAPS

被引：167

作者：

MACKAY, RS ^{[1
]}

机构：

[1] PRINCETON UNIV,PLASMA PHYS LAB,PRINCETON,NJ 08544

来源：

PHYSICA D | 1983年 / 7卷 / 1-3期

关键词：

D O I：

10.1016/0167-2789(83)90131-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

页码：283 / 300

页数：18

共 36 条

[1] Arnold V. I, 1989, MATH METHODS CLASSIC, VSecond, DOI DOI 10.1007/978-1-4757-1693-1
[2] BIRKHOFF GD, 1932, B SOC MATH FRANCE, V60, P1
[3] BIRKHOFF GD, 1966, AMS C PUBL, V9
[4] UNIVERSAL INSTABILITY OF MANY-DIMENSIONAL OSCILLATOR SYSTEMS
CHIRIKOV, BV
[J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1979, 52 (05): : 263 - 379
[5] REVERSIBLE DIFFEOMORPHISMS AND FLOWS
DEVANEY, RL
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 218 (APR) : 89 - 113
[6] ECKMANN JP, 1982, UGVADPT198204345 PRE
[7] RENORMALIZATION METHOD FOR COMPUTING THE THRESHOLD OF THE LARGE-SCALE STOCHASTIC-INSTABILITY IN 2-DEGREES OF FREEDOM HAMILTONIAN-SYSTEMS
ESCANDE, DF
DOVEIL, F
[J]. JOURNAL OF STATISTICAL PHYSICS, 1981, 26 (02) : 257 - 284
[8] RENORMALIZATION METHOD FOR THE ONSET OF STOCHASTICITY IN A HAMILTONIAN SYSTEM
ESCANDE, DF
DOVEIL, F
[J]. PHYSICS LETTERS A, 1981, 83 (07) : 307 - 310
[9] QUASI-PERIODICITY IN DISSIPATIVE SYSTEMS - A RENORMALIZATION-GROUP ANALYSIS
FEIGENBAUM, MJ
KADANOFF, LP
SHENKER, SJ
[J]. PHYSICA D, 1982, 5 (2-3): : 370 - 386
[10] GALLAVOTTI G, 1982, UNPUB LECTURE NOTES