Robustness of nonlinear targeted energy transfer in coupled oscillators to changes of initial conditions

Panagopoulos, PN; Gendelman, O; Vakakis, AF

dc.contributor.author	Panagopoulos, PN	en
dc.contributor.author	Gendelman, O	en
dc.contributor.author	Vakakis, AF	en
dc.date.accessioned	2014-03-01T01:27:08Z
dc.date.available	2014-03-01T01:27:08Z
dc.date.issued	2007	en
dc.identifier.issn	0924-090X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18335
dc.subject	Domain of attraction	en
dc.subject	Targeted energy transfer	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.classification	Mechanics	en
dc.subject.other	Control nonlinearities	en
dc.subject.other	Flow of fluids	en
dc.subject.other	Invariance	en
dc.subject.other	Nonlinear systems	en
dc.subject.other	Oscillators (electronic)	en
dc.subject.other	Robustness (control systems)	en
dc.subject.other	Dynamic flow	en
dc.subject.other	Energy pumping	en
dc.subject.other	Targeted energy transfer	en
dc.subject.other	Energy transfer	en
dc.title	Robustness of nonlinear targeted energy transfer in coupled oscillators to changes of initial conditions	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s11071-006-9037-9	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s11071-006-9037-9	en
heal.language	English	en
heal.publicationDate	2007	en
heal.abstract	The problem of choosing the appropriate initial conditions for achieving efficient targeted energy transfer (energy pumping) in a system of coupled oscillators with essential nonlinearity is investigated analytically and numerically. The treatment is based on the simplified description of the dynamic flow at the initial stage of motion and up to time scale of O(1). This approach appears to be complimentary to the invariant manifold approach developed in earlier works; hence, the combination of the two approaches allows the complete description of the targeted energy transfer process at its entire time span, and answers the question of robustness of energy transfer to changes of initial conditions. © Springer Science+Business Media, Inc. 2007.	en
heal.publisher	SPRINGER	en
heal.journalName	Nonlinear Dynamics	en
dc.identifier.doi	10.1007/s11071-006-9037-9	en
dc.identifier.isi	ISI:000243621900006	en
dc.identifier.volume	47	en
dc.identifier.issue	4	en
dc.identifier.spage	377	en
dc.identifier.epage	387	en