Nonlinear dynamics of filaments. I: Dynamical instabilities
type: Item
instance of: scholarly article
title: Nonlinear dynamics of filaments. I: Dynamical instabilities
zbMATH Open document ID: 0962.74513
DOI: 10.1016/S0167-2789(96)00290-4
author: Alain Goriely
author: Michael Tabor
published in: Physica D
publication date: 2000-01-24T00:00:00Z
Mathematics Subject Classification ID: 74H55
Mathematics Subject Classification ID: 74K10
zbMATH DE Number: 1392816
zbMATH Keywords: Kirchhoff model
zbMATH Keywords: linear stability
zbMATH Keywords: arc length preserving perturbation scheme
zbMATH Keywords: planar ring
zbMATH Keywords: straight rod
zbMATH Keywords: twisting perturbations
zbMATH Keywords: existence of dynamical instabilities
MaRDI profile type: Publication
cites work: Stability of Two Planar Loop Elasticas
cites work: Knotted vortex filaments in an ideal fluid
cites work: Q3926243
cites work: Q4343241
cites work: Solitons on moving space curves
cites work: The Korteweg–de Vries hierarchy as dynamics of closed curves in the plane
cites work: Poisson geometry of the filament equation
cites work: Integrability and the motion of curves
cites work: Q3989600
cites work: Q5844404
cites work: Q5567753
cites work: Elastic model of looped DNA
cites work: Kirchhoff's theory of rods
cites work: There is More than One Way to Frame a Curve
cites work: On the dynamics of rods in the theory of Kirchhoff and Clebsch
cites work: Conservation laws in the dynamics of rods
cites work: Biological applications of the dynamics of twisted elastic rods
cites work: Q5687017
cites work: Q5687014
cites work: Knotted Elastic Curves in R 3
cites work: From helix to localized writhing in the torsional post-buckling of elastic rods
cites work: Nonlinear dynamics of filaments. II: Nonlinear analysis
full work available at URL: s0167-2789(96)00290-4
OpenAlex ID: W2042653844
description: scientific article; zbMATH DE number 1392816