Instant chaos, extreme parametric uncertainty, and sustained chaotic transients in nonlinear continuum mechanics

Schwartz, IB; Triandaf, I; Wood, Y; Georgiou, IT

dc.contributor.author	Schwartz, IB	en
dc.contributor.author	Triandaf, I	en
dc.contributor.author	Wood, Y	en
dc.contributor.author	Georgiou, IT	en
dc.date.accessioned	2014-03-01T02:41:55Z
dc.date.available	2014-03-01T02:41:55Z
dc.date.issued	2001	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/30664
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0035790740&partnerID=40&md5=54643bfd0a55ab4ca6c80a5fffb7d7b6	en
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0035790740&partnerID=40&md5=54643bfd0a55ab4ca6c80a5fffb7d7b6	en
dc.subject.other	Bifurcation (mathematics)	en
dc.subject.other	Chaos theory	en
dc.subject.other	Mathematical models	en
dc.subject.other	Pendulums	en
dc.subject.other	Sensitivity analysis	en
dc.subject.other	Chaotic transients	en
dc.subject.other	Hyperchaos	en
dc.subject.other	Instant chaos	en
dc.subject.other	Continuum mechanics	en
dc.title	Instant chaos, extreme parametric uncertainty, and sustained chaotic transients in nonlinear continuum mechanics	en
heal.type	conferenceItem	en
heal.publicationDate	2001	en
heal.abstract	Bifurcation to high-dimensional hyperchaos is observed in a driven coupled pendulum-flexible rod system. When the rod is in resonance with the pendulum, the system changes from a low dimensional attractor to a high dimensional attractor abruptly. It is shown that high dimensional chaotic dynamics is hysteretic, and exhibits extreme sensitivity with respect to small parameter changes. Such sensitivity poses a problem in obstructing predictability in mechanics. A brief discussion of sustaining chaos to prevent resonance is included.	en
heal.journalName	Proceedings of the ASME Design Engineering Technical Conference	en
dc.identifier.volume	6 A	en
dc.identifier.spage	839	en
dc.identifier.epage	843	en