BIFURCATIONS, PERIOD DOUBLINGS AND CHAOS IN CLARINET-LIKE SYSTEMS

被引：51

作者：

MAGANZA, C

CAUSSE, R

LALOE, F

机构：

[1] ECOLE NORMALE SUPER,SPECT HERTZIENNE LAB,F-75231 PARIS 05,FRANCE

[2] UNIV MAINE,ACOUST LAB,CNRS,UNITE 1101,F-72017 LE MANS,FRANCE

来源：

EUROPHYSICS LETTERS | 1986年 / 1卷 / 06期

关键词：

HYDRODYNAMICS - MATHEMATICAL TRANSFORMATIONS - RESONATORS; CAVITY;

D O I：

10.1209/0295-5075/1/6/005

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Wind instruments provide interesting hydrodynamical systems where nonlinearities are important but well localized. A simple analysis shows that these systems should undergo Feigenbaum-type route to chaos, with a cascade of period doublings. Experiments have been performed with an acoustical resonator and an 'artificial' excitation (nonlinearities controlled by either analogic or digital devices); they have confirmed these predictions.

引用

页码：295 / 302

页数：8

共 16 条

[1] EFFECT OF WALL MATERIAL ON STEADY-STATE TONE QUALITY OF WOODWIND INSTRUMENTS [J].