Analytical solutions of systems with piecewise linear dynamics

Kominis, Y; Bountis, T

dc.contributor.author	Kominis, Y	en
dc.contributor.author	Bountis, T	en
dc.date.accessioned	2014-03-01T02:46:41Z
dc.date.available	2014-03-01T02:46:41Z
dc.date.issued	2010	en
dc.identifier.issn	0218-1274	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/32787
dc.subject	Analytical solutions	en
dc.subject	Nonautonomous systems	en
dc.subject	Piecewise linear systems	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Multidisciplinary Sciences	en
dc.subject.other	Analytical solutions	en
dc.subject.other	Autonomous components	en
dc.subject.other	Non-autonomous system	en
dc.subject.other	Nonautonomous	en
dc.subject.other	Nonautonomous dynamical systems	en
dc.subject.other	Periodic system	en
dc.subject.other	Physical phenomena	en
dc.subject.other	Piece-wise linear systems	en
dc.subject.other	Piecewise linear	en
dc.subject.other	Time interval	en
dc.subject.other	Dynamical systems	en
dc.subject.other	Linear systems	en
dc.subject.other	Nonlinear systems	en
dc.subject.other	Piecewise linear techniques	en
dc.title	Analytical solutions of systems with piecewise linear dynamics	en
heal.type	conferenceItem	en
heal.identifier.primary	10.1142/S0218127410025570	en
heal.identifier.secondary	http://dx.doi.org/10.1142/S0218127410025570	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	A class of nonautonomous dynamical systems, consisting of an autonomous nonlinear system and an autonomous linear periodic system, each acting by itself at different time intervals, is studied. It is shown that under certain conditions for the durations of the linear and the nonlinear time intervals, the dynamics of the nonautonomous piecewise linear system is closely related to that of its nonlinear autonomous component. As a result, families of explicit periodic, nonperiodic and localized breather-like solutions are analytically obtained for a variety of interesting physical phenomena. © 2010 World Scientific Publishing Company.	en
heal.publisher	WORLD SCIENTIFIC PUBL CO PTE LTD	en
heal.journalName	International Journal of Bifurcation and Chaos	en
dc.identifier.doi	10.1142/S0218127410025570	en
dc.identifier.isi	ISI:000276977400033	en
dc.identifier.volume	20	en
dc.identifier.issue	2	en
dc.identifier.spage	509	en
dc.identifier.epage	518	en