Three kinds of intermittency in a nonlinear mechanical system

被引：17

作者：

Chatterjee, S ^{[1
]}

Mallik, AK ^{[1
]}

机构：

[1] INDIAN INST TECHNOL,DEPT MECH ENGN,KANPUR 208016,UTTAR PRADESH,INDIA

来源：

PHYSICAL REVIEW E | 1996年 / 53卷 / 05期

关键词：

D O I：

10.1103/PhysRevE.53.4362

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

All three different types of classical, Pomeau-Manneville intermittencies along with a fourth kind following a subcritical pitchfork bifurcation have been identified in a single mathematical model. The mathematical model corresponds to a van der Pol oscillator with an impact damper.

引用

页码：4362 / 4367

页数：6

共 11 条

[1]

Berge P., 1984, Order Within Chaos: Towards a Deterministic Approach to Turbulence

[2] EXPERIMENTAL-OBSERVATION OF INTERMITTENT CHAOS IN A MECHANICAL SYSTEM WITH IMPACTS [J].

BLAZEJCZYK, B ;

KAPITANIAK, T ;

WOJEWODA, J ;

BARRON, R .

JOURNAL OF SOUND AND VIBRATION, 1994, 178 (02) :272-275

[3] ON IMPACT DAMPERS FOR NONLINEAR VIBRATING SYSTEMS [J].

CHATTERJEE, S ;

MALLIK, AK ;

GHOSH, A .

JOURNAL OF SOUND AND VIBRATION, 1995, 187 (03) :403-420

[4]

CHATTERJEE S, IN PRESS J SOUND VIB

[5] NOISE-INDUCED INTERMITTENCY IN THE QUASIPERIODIC REGIME OF RAYLEIGH-BENARD CONVECTION [J].

ECKE, R ;

HAUCKE, H .

JOURNAL OF STATISTICAL PHYSICS, 1989, 54 (5-6) :1153-1172

[6] MANY ROUTES TO TURBULENT CONVECTION [J].

GOLLUB, JP ;

BENSON, SV .

JOURNAL OF FLUID MECHANICS, 1980, 100 (OCT) :449-470

[7]

Manneville P., 1980, Physica D, V10, P219, DOI 10.1016/0167-2789(80)90013-5

[8] INTERMITTENT TRANSITION TO TURBULENCE IN DISSIPATIVE DYNAMICAL-SYSTEMS [J].

POMEAU, Y ;

MANNEVILLE, P .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1980, 74 (02) :189-197

[9] UNIVERSAL TRANSITION FROM QUASI-PERIODICITY TO CHAOS IN DISSIPATIVE SYSTEMS [J].

RAND, D ;

OSTLUND, S ;

SETHNA, J ;

SIGGIA, ED .

PHYSICAL REVIEW LETTERS, 1982, 49 (02) :132-135

[10]

RAND D, 1983, PHYSICA D, V8, P303

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