Conservative spatial chaos of buckled elastic linkages

Attila Kocsis, G. Károlyi

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

Buckling of an elastic linkage under general loading is investigated. We show that buckling is related to an initial value problem, which is always a conservative, area-preserving mapping, even if the original static problem is nonconservative. In some special cases, we construct the global bifurcation diagrams, and argue that their complicated structure is a consequence of spatial chaos. We characterize spatial chaos by the associated initial value problem's topological entropy, which turns out to be related to the number of buckled configurations.

Original languageEnglish
Article number033111
JournalChaos
Volume16
Issue number3
DOIs
Publication statusPublished - 2006

Fingerprint

Initial value problems
buckling
Buckling
boundary value problems
linkages
Chaos theory
Linkage
Initial Value Problem
chaos
Chaos
Global Bifurcation
Topological Entropy
Bifurcation Diagram
preserving
Entropy
diagrams
entropy
Configuration
configurations

ASJC Scopus subject areas

  • Applied Mathematics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Conservative spatial chaos of buckled elastic linkages. / Kocsis, Attila; Károlyi, G.

In: Chaos, Vol. 16, No. 3, 033111, 2006.

Research output: Contribution to journalArticle

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