OSCILLATORS WITH CHAOTIC BEHAVIOR - AN ILLUSTRATION OF A THEOREM BY SHILNIKOV

被引：127

作者：

ARNEODO, A ^{[1
]}

COULLET, P ^{[1
]}

TRESSER, C ^{[1
]}

机构：

[1] UNIV NICE,EQUIPE MECAN STAT,CNRS,PHYS MAT CONDENSEE LAB,F-06034 NICE,FRANCE

来源：

JOURNAL OF STATISTICAL PHYSICS | 1982年 / 27卷 / 01期

关键词：

D O I：

10.1007/BF01011745

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

引用

页码：171 / 182

页数：12

共 43 条

[1]

Afraimovich V. S., 1977, Soviet Physics - Doklady, V22, P253

[2] A POSSIBLE NEW MECHANISM FOR THE ONSET OF TURBULENCE [J].

ARNEODO, A ;

COULLET, P ;

TRESSER, C .

PHYSICS LETTERS A, 1981, 81 (04) :197-201

[3] POSSIBLE NEW STRANGE ATTRACTORS WITH SPIRAL STRUCTURE [J].

ARNEODO, A ;

COULLET, P ;

TRESSER, C .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1981, 79 (04) :573-579

[4] OCCURRENCE OF STRANGE ATTRACTORS IN 3 DIMENSIONAL VOLTERRA-EQUATIONS [J].

ARNEODO, A ;

COULLET, P ;

TRESSER, C .

PHYSICS LETTERS A, 1980, 79 (04) :259-263

[5] RENORMALIZATION GROUP WITH PERIODIC BEHAVIOR [J].

ARNEODO, A ;

COULLET, P ;

TRESSER, C .

PHYSICS LETTERS A, 1979, 70 (02) :74-76

[6]

CAMPANINO M, 1980, IHES P8032 PREPR

[7]

Cartwright M., 1945, J LOND MATH SOC, V20, P180, DOI 10.1112/jlms/s1-20.3.180

[8] UNIVERSAL PROPERTIES OF MAPS ON AN INTERVAL [J].

COLLET, P ;

ECKMANN, JP ;

LANFORD, OE .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1980, 76 (03) :211-254

[9] PERIOD DOUBLING BIFURCATIONS FOR FAMILIES OF MAPS ON RN [J].

COLLET, P ;

ECKMANN, JP ;

KOCH, H .

JOURNAL OF STATISTICAL PHYSICS, 1981, 25 (01) :1-14

[10] TRANSITION TO STOCHASTICITY FOR A CLASS OF FORCED OSCILLATORS [J].

COULLET, P ;

TRESSER, C ;

ARNEODO, A .

PHYSICS LETTERS A, 1979, 72 (4-5) :268-270

← 1 2 3 4 5 →