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contributor authorLiming Dai
contributor authorGuoqing Wang
date accessioned2017-05-09T00:27:13Z
date available2017-05-09T00:27:13Z
date copyrightJanuary, 2008
date issued2008
identifier issn1555-1415
identifier otherJCNDDM-25643#011006_1.pdf
identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/137579
description abstractThe 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.
publisherThe American Society of Mechanical Engineers (ASME)
titleImplementation of Periodicity Ratio in Analyzing Nonlinear Dynamic Systems: A Comparison With Lyapunov Exponent
typeJournal Paper
journal volume3
journal issue1
journal titleJournal of Computational and Nonlinear Dynamics
identifier doi10.1115/1.2802581
journal fristpage11006
identifier eissn1555-1423
keywordsMotion
keywordsDynamic systems
keywordsNonlinear dynamical systems
keywordsPendulums
keywordsPoincare mapping
keywordsEquations
keywordsChaos
keywordsPhase diagrams AND Numerical analysis
treeJournal of Computational and Nonlinear Dynamics:;2008:;volume( 003 ):;issue: 001
contenttypeFulltext


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