Mathematical pendulum and its variants

dc.creatorChis, O.
dc.creatorOpris, D.
dc.date2009-05-27
dc.date.accessioned2026-07-07T13:18:31Z
dc.date.available2026-07-07T13:18:31Z
dc.descriptionIn this paper we show that there are applications that transform the movement of a pendulum into movements in $\mathbb{R}^3$. This can be done using Euler top system of differential equations. On the constant level surfaces, Euler top system reduces to the equation of a pendulum. Those properties are also considered in the case of system of differential equations with delay argument and in the fractional case. Another aspect presented here is stochastic Euler top system of differential equations and stochastic pendulum.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/0905.4356
dc.identifierhttp://arxiv.org/abs/0905.4356
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/231453
dc.subjectDynamical Systems
dc.subjectDifferential Geometry
dc.subject34K50, 35L65, 26A33, 37N99, 60H10, 65C20, 65C30
dc.titleMathematical pendulum and its variants
dc.typetext

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