A PROPERTY OF A STOCHASTIC RESPONSE WITH BIFURCATION OF A NONLINEAR-SYSTEM

被引：8

作者：

KAPITANIAK, T

机构：

[1] Technical Univ of Lodz, Lodz, Pol, Technical Univ of Lodz, Lodz, Pol

来源：

JOURNAL OF SOUND AND VIBRATION | 1986年 / 107卷 / 01期

关键词：

VIBRATIONS - Mathematical Models;

D O I：

10.1016/0022-460X(86)90292-0

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

An interesting analogy between the stochastic stationary response with bifurcation of a non-linear system perturbed by white noise and the bifurcation diagram of the unperturbed system is reported. For the chaotic movement of a non-linear system, the chaotic probability density functions were obtained.

引用

页码：177 / 180

页数：4

共 5 条

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DHUMIERES, D ;

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PHYSICAL REVIEW A, 1982, 26 (06) :3483-3496

[2]

HONGLER M, 1979, Z PHYSIK B, V31, P333

[3] STOCHASTIC RESPONSE WITH BIFURCATIONS TO NON-LINEAR DUFFING OSCILLATOR [J].

KAPITANIAK, T .

JOURNAL OF SOUND AND VIBRATION, 1985, 102 (03) :440-441

[4]

Thompson J., 1982, Instabilities and Catastrophes in Science and Engineering, V49, P932

[5]

WEHLER MF, 1983, PHYSICAL REV A, V27, P2663

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