Implementation of Periodicity Ratio in Analyzing Nonlinear Dynamic Systems: A Comparison With Lyapunov Exponent-Reference-Cited by-同舟云学术

Implementation of Periodicity Ratio in Analyzing Nonlinear Dynamic Systems: A Comparison With Lyapunov Exponent

Published:2007-11-12 Issue:1 Volume:3 Page:
ISSN:1555-1415
Container-title:Journal of Computational and Nonlinear Dynamics
language:en
Short-container-title:

Author:

Dai Liming¹,Wang Guoqing²

Affiliation:

1. Mathematics and Physics, North China Electric Power University, Beijing 102206, P.R.C.; Industrial Systems Engineering, University of Regina, Regina, SK, S4S 0A2, Canada

2. Industrial Systems Engineering, University of Regina, Regina, SK, S4S 0A2, Canada

Abstract

The present research intends to investigate the characteristics of the periodicity ratio and its implementation in analyzing the nonlinear behavior of dynamic systems governed by second-order differential equations. Numerical analyses on the nonlinear dynamic systems with employment of the periodicity ratio for diagnosing chaotic, regular, and irregular behaviors of dynamic systems are performed. To characterize the approach with periodicity ratio in distinguishing different behaviors of the nonlinear dynamic systems, a comparison of periodicity ratio with the widely used Lyapunov exponent in numerically assessing the responses of nonlinear dynamic systems is presented.

Publisher

ASME International

Subject

Applied Mathematics,Mechanical Engineering,Control and Systems Engineering,Applied Mathematics,Mechanical Engineering,Control and Systems Engineering

Link

http://asmedigitalcollection.asme.org/computationalnonlinear/article-pdf/doi/10.1115/1.2802581/5776577/011006_1.pdf

Reference18 articles.

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2. Nonlinear Dynamics

3. Determining Lyapunov Exponents From a Time Series;Wolf;Physica D

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