TRANSITION TO STOCHASTICITY FOR A CLASS OF FORCED OSCILLATORS

被引：100

作者：

COULLET, P ^{[1
]}

TRESSER, C ^{[1
]}

ARNEODO, A ^{[1
]}

机构：

[1] UNIV NICE,PHYS THEOR LAB,CNRS,EQUIPE RECH,F-06034 NICE,FRANCE

来源：

PHYSICS LETTERS A | 1979年 / 72卷 / 4-5期

关键词：

D O I：

10.1016/0375-9601(79)90464-X

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present a large class of simple differential systems which allow to study some aspects of the transition to stochasticity. These systems describe a particle, in a harmonic potential, subjected to anexternal force whose time derivative depends on the position of the particle only. © 1979.

引用

页码：268 / 270

页数：3

共 15 条

[1] ARNEODO A, UNPUBLISHED
[2] COULLET P, 1978, NPS781 NIC PREPR
[3] COULLET P, NPS782 NIC PREPR
[4] DERRIDA B, 1978, CEA PREPRINT
[5] QUANTITATIVE UNIVERSALITY FOR A CLASS OF NON-LINEAR TRANSFORMATIONS
FEIGENBAUM, MJ
[J]. JOURNAL OF STATISTICAL PHYSICS, 1978, 19 (01) : 25 - 52
[6] LORENZ EN, 1963, J ATMOS SCI, V20, P130, DOI 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO
[7] 2
[8] Marsden J. E., 1976, APPL MATH SCI, V19
[9] MARZEC CJ, 1978, STRANGE ATTRACTOR
[10] POMEAU Y, 1977, LECTURE NOTES PHYSIC, V71

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