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contributor authorBenson H. Tongue
contributor authorDavid Smith
date accessioned2017-05-08T23:29:06Z
date available2017-05-08T23:29:06Z
date copyrightSeptember, 1989
date issued1989
identifier issn0021-8936
identifier otherJAMCAV-26311#691_1.pdf
identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/104925
description abstractThe method of Interpolated Mapping is extended to encompass the calculation of transient system behavior, specifically the efficient determination of the Lyapunov exponents for a simple nonlinear system. Both the continuous Lyapunov exponents as well as the corresponding Lyapunov exponents of the Poincaré map for a forced Duffing’s oscillator are found. The use of Interpolated Mapping is compared to straightforward numerical integration and is shown to offer distinct computational advantages.
publisherThe American Society of Mechanical Engineers (ASME)
titleDetermining Lyapunov Exponents by Means of Interpolated Mapping
typeJournal Paper
journal volume56
journal issue3
journal titleJournal of Applied Mechanics
identifier doi10.1115/1.3176148
journal fristpage691
journal lastpage696
identifier eissn1528-9036
keywordsNonlinear systems AND Poincare mapping
treeJournal of Applied Mechanics:;1989:;volume( 056 ):;issue: 003
contenttypeFulltext


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