Lyapunov exponents for the Miles' spherical pendulum equations
type: Item
instance of: scholarly article
title: Lyapunov exponents for the Miles' spherical pendulum equations
zbMATH Open document ID: 0955.70016
DOI: 10.1016/S0167-2789(98)00263-2
author: Yanyan Li
published in: Physica D
publication date: 1999-12-06T00:00:00Z
review text: The authors evaluate Lyapunov exponents and hence the Lyapunov dimension for the equations derived by \textit{J. W. Miles} [Q. Appl. Math. 20, 21-32 (1962; Zbl 0108.18601); Physica D 11, 309-323 (1984; Zbl 0577.70025)] as an approximation to the equations of motion of spherical pendulum forced at a frequency close to its natural frequency. Some results are also presented for the mathematically related problem of surface waves in a vibrating cylinder.
Mathematics Subject Classification ID: 70J25
Mathematics Subject Classification ID: 76B15
zbMATH DE Number: 1374320
zbMATH Keywords: forced spherical pendulum
zbMATH Keywords: surface water waves in vibrating cylinder
zbMATH Keywords: Lyapunov exponents
zbMATH Keywords: Lyapunov dimension
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1374320