Transient chaotic behaviour versus periodic motion of a parametric pendulum by recurrence plots

被引：28

作者：

Litak, Grzegorz ^{[1
]}

Wiercigroch, Marian ^{[2
]}

Horton, Bryan W. ^{[2
]}

Xu, Xu ^{[2
]}

机构：

[1] Lublin Univ Technol, Fac Mech Engn, PL-20618 Lublin, Poland

[2] Univ Aberdeen, Sch Engn, Ctr Appl Dynam Res, Aberdeen AB24 3UE, Scotland

来源：

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2010年 / 90卷 / 01期

基金：

欧盟第七框架计划;

关键词：

Parametric pendulum; recurrence plot; chaotic vibration; ROTATIONAL MOTION; OSCILLATIONS; PREDICTION; THRESHOLD; DYNAMICS; EQUATION;

D O I：

10.1002/zamm.200900290

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigated dynamic responses of a parametric pendulum obtained experimentally. Using the recurrence plot technique designed to analyze experimental time series we have distinguished different types of motion. This method, supplemented by recurrence quantification analysis (RQA), has been used to identify oscillations, rotations, and transient chaotic vibrations for relatively short time series composed of only few cycles. (C) 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：33 / 41

页数：9

共 57 条

[31]

Litak G, 2009, J THEOR APP MECH-POL, V47, P55

[32] Line structures in recurrence plots [J].

Marwan, N ;

Kurths, J .

PHYSICS LETTERS A, 2005, 336 (4-5) :349-357

[33] Recurrence-plot-based measures of complexity and their application to heart-rate-variability data [J].

Marwan, N ;

Wessel, N ;

Meyerfeldt, U ;

Schirdewan, A ;

Kurths, J .

PHYSICAL REVIEW E, 2002, 66 (02) :1-026702

[34] A historical review of recurrence plots [J].

Marwan, N. .

EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2008, 164 (1) :3-12

[35]

MARWAN N, COMMANDLINE RECURREN

[36]

Marwan N., 2003, Ph.D. Thesis

[37] Recurrence plots for the analysis of complex systems [J].

Marwan, Norbert ;

Romano, M. Carmen ;

Thiel, Marco ;

Kurths, Juergen .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2007, 438 (5-6) :237-329

[38] Recurrence analysis of strange nonchaotic dynamics [J].

Ngamga, E. J. ;

Nandi, A. ;

Ramaswamy, R. ;

Romano, M. C. ;

Thiel, M. ;

Kurths, J. .

PHYSICAL REVIEW E, 2007, 75 (03)

[39] CHAOTIC PENDULUM BASED ON TORSION AND GRAVITY IN OPPOSITION [J].

PETERS, RD .

AMERICAN JOURNAL OF PHYSICS, 1995, 63 (12) :1128-1136

[40]

Sahay I, 2004, NATL ACAD SCI LETT, V27, P65

← 1 2 3 4 5 6 →