The response spectrum map, a frequency domain equivalent to the bifurcation diagram

被引：17

作者：

Billings, SA ^{[1
]}

Boaghe, OM ^{[1
]}

机构：

[1] Univ Sheffield, Dept Automat Control & Syst Engn, Sheffield S1 3JD, S Yorkshire, England

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2001年 / 11卷 / 07期

基金：

英国工程与自然科学研究理事会;

关键词：

D O I：

10.1142/S0218127401003164

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Response Spectrum Map (RSM) is introduced as a frequency domain equivalent to the Bifurcation Diagram. The RSM is a map of the energy distribution of a system in the frequency domain, where subharmonics, superharmonics and chaos generation can be revealed. The RSM is used in this paper to qualitatively analyze and detect various dynamical states exhibited by a nonlinear system.

引用

页码：1961 / 1975

页数：15

共 14 条

[1]

Aguirre G., 1995, Veterinary & Comparative Ophthalmology, V5, P2

[2] VALIDATING IDENTIFIED NONLINEAR MODELS WITH CHAOTIC DYNAMICS [J].

AGUIRRE, LA ;

BILLINGS, SA .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1994, 4 (01) :109-125

[3]

[Anonymous], 2012, Practical numerical algorithms for chaotic systems

[4]

BILLINGS SA, 2000, UNPUB INT J CONTR

[5]

CHUA LO, 1992, AEU-INT J ELECTRON C, V46, P250

[6]

Duffing G, 1918, ERZWUNGENE SCHWINGUN, Patent No. [Braunschweig41/42, 4241]

[7] QUANTITATIVE UNIVERSALITY FOR A CLASS OF NON-LINEAR TRANSFORMATIONS [J].

FEIGENBAUM, MJ .

JOURNAL OF STATISTICAL PHYSICS, 1978, 19 (01) :25-52

[8]

FEIGENBAUM MJ, 1989, LOS ALAMOS SCI, V1, P4

[9]

Guckenheimer J, 2013, APPL MATH SCI

[10]

Holmes P.J., 1979, COMMUN MATH PHYS, V50, P69

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