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- Title
SPATIALLY CHAOTIC BIFURCATIONS OF AN ELASTIC WEB OF LINKS.
- Authors
KOCSIS, ATTILA; NÉMETH, RÓBERT K.; KÁROLYI, GYÖRGY
- Abstract
Spatially chaotic bifurcations of an elastic web of links are investigated. We numerically construct the global bifurcation diagrams uniquely describing the buckled states, and show that the exponential growth of the number of equilibrium branches with the size of the web indicates spatial chaos. The types of bifurcations from the trivial equilibrium branch are also determined, and we show that cusp catastrophes of any order can appear. This observation relates the buckling of the elastic web of links to the buckling of rods with finite shear and infinite bending and normal stiffness.
- Subjects
CHAOS theory; BIFURCATION theory; ELASTIC waves; FIBERS; WEBS (Differential geometry); CHARTS, diagrams, etc.
- Publication
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2010, Vol 20, Issue 12, p4011
- ISSN
0218-1274
- Publication type
Article
- DOI
10.1142/S021812741002815X