contributor author | Stephen Wiggins | |
contributor author | Steven W. Shaw | |
date accessioned | 2017-05-08T23:26:23Z | |
date available | 2017-05-08T23:26:23Z | |
date copyright | December, 1988 | |
date issued | 1988 | |
identifier issn | 0021-8936 | |
identifier other | JAMCAV-26299#959_1.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/103453 | |
description abstract | We 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. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | Chaos and Three-Dimensional Horseshoes in Slowly Varying Oscillators | |
type | Journal Paper | |
journal volume | 55 | |
journal issue | 4 | |
journal title | Journal of Applied Mechanics | |
identifier doi | 10.1115/1.3173748 | |
journal fristpage | 959 | |
journal lastpage | 968 | |
identifier eissn | 1528-9036 | |
keywords | Chaos | |
keywords | Motion | |
keywords | Equations of motion | |
keywords | Intersections | |
keywords | Manifolds AND Dynamics (Mechanics) | |
tree | Journal of Applied Mechanics:;1988:;volume( 055 ):;issue: 004 | |
contenttype | Fulltext | |