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contributor authorStephen Wiggins
contributor authorSteven W. Shaw
date accessioned2017-05-08T23:26:23Z
date available2017-05-08T23:26:23Z
date copyrightDecember, 1988
date issued1988
identifier issn0021-8936
identifier otherJAMCAV-26299#959_1.pdf
identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/103453
description abstractWe present general results pertaining to chaotic motions in a class of systems termed slowly varying oscillators which consist of weakly perturbed single-degree-of-freedom systems in which parameters vary slowly in time according to an additional equation of motion. Our results include an analytical method for detecting transversal intersections of stable and unstable manifolds (typically a necessary condition for chaotic motions to exist) and a detailed description of the chaotic dynamics that occur when this situation exists.
publisherThe American Society of Mechanical Engineers (ASME)
titleChaos and Three-Dimensional Horseshoes in Slowly Varying Oscillators
typeJournal Paper
journal volume55
journal issue4
journal titleJournal of Applied Mechanics
identifier doi10.1115/1.3173748
journal fristpage959
journal lastpage968
identifier eissn1528-9036
keywordsChaos
keywordsMotion
keywordsEquations of motion
keywordsIntersections
keywordsManifolds AND Dynamics (Mechanics)
treeJournal of Applied Mechanics:;1988:;volume( 055 ):;issue: 004
contenttypeFulltext


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