Routes to chaos in continuous mechanical systems. I: Mathematical models and solution methods
type: Item
instance of: scholarly article
title: Routes to chaos in continuous mechanical systems. I: Mathematical models and solution methods
zbMATH Open document ID: 1414.74013
author: I. V. Papkova
author: Jan Awrejcewicz
author: V. A. Krysko
author: A. V. Krysko
published in: Chaos, Solitons and Fractals
publication date: 2013-05-31T00:00:00Z
Mathematics Subject Classification ID: 74H65
Mathematics Subject Classification ID: 70K55
Mathematics Subject Classification ID: 65P20
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74K25
Mathematics Subject Classification ID: 74S99
zbMATH DE Number: 6169039
MaRDI profile type: Publication
full work available at URL: j.chaos.2012.01.016
OpenAlex ID: W2039481370
cites work: Asymptotic approaches in nonlinear dynamics. New trends and applications
cites work: Nonlinear coupled problems in dynamics of shells
cites work: Q4827461
cites work: Complex parametric vibrations of flexible rectangular plates
cites work: Period Doubling Bifurcation and Chaos Exhibited by an Isotropic Plate
cites work: Low-dimensional chaotic response of axially accelerating continuum in the supercritical regime
cites work: The chaotic response of the viscoelastic traveling string: an integral constitutive law
cites work: Bifurcation and chaos of an axially accelerating viscoelastic beam
cites work: Local and global bifurcations in parametrically excited vibrations of nearly square plates
cites work: The double mode model of the chaotic motion for a large deflection plate
cites work: Chaotic and bifurcation dynamics of a simply-supported thermo-elastic circular plate with variable thickness in large deflection.
cites work: Chaotic analysis of nonlinear viscoelastic panel flutter in supersonic flow
cites work: The extended Melnikov method for non-autonomous nonlinear dynamical systems and application to multi-pulse chaotic dynamics of a buckled thin plate
cites work: Chaotic vibrations of a cylindrical shell-panel with an in-plane elastic-support at boundary
cites work: Q5629325
DOI: 10.1016/J.CHAOS.2012.01.016
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description: scientific article; zbMATH DE number 6169039