Irreversible energy transfer in the form of discrete breathers in
nonlinear lattices with asymmetry.

Παναγόπουλος, Παναγιώτης; Panagopoulos, Panagiotis

dc.contributor.author	Παναγόπουλος, Παναγιώτης	el
dc.contributor.author	Panagopoulos, Panagiotis	en
dc.date.accessioned	2023-11-24T08:02:36Z
dc.date.available	2023-11-24T08:02:36Z
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/58313
dc.identifier.uri	http://dx.doi.org/10.26240/heal.ntua.26009
dc.description	Εθνικό Μετσόβιο Πολυτεχνείο--Μεταπτυχιακή Εργασία. Διεπιστημονικό-Διατμηματικό Πρόγραμμα Μεταπτυχιακών Σπουδών (Δ.Π.Μ.Σ.) “Εφαρμοσμένες Μαθηματικές Επιστήμες”	el
dc.rights	Default License
dc.subject	Energy transfer	en
dc.subject	Breathers	en
dc.subject	Nonlinear lattices	en
dc.subject	Complexification averaging method	en
dc.subject	Oscillators	en
dc.title	Irreversible energy transfer in the form of discrete breathers in nonlinear lattices with asymmetry.	en
heal.type	masterThesis
heal.classification	Μαθηματικά	el
heal.access	free
heal.recordProvider	ntua	el
heal.publicationDate	2023-07-12
heal.abstract	Applied mathematics have played a highly significant role in the development of the science. One part of the applied mathematics that are of a high interest is transfer of energy. Over the years many scientists have tried to unlock the mysteries of the energy of a specific system. In this thesis, we shall see how energy transfers through a certain type of ”energy carrier”, called discrete breather. In Chapter 1, we present the general idea of solitons and their behavior. We study three important equations that have solitons as solutions. We also, study some special solitonic structures, which are called breathers. The importance of the breathers is going to be shown in chapter 2 and 4. In Chapter 2, we show how solitons have a direct connection with nonlinear lattices and how moving breathers make their appearance in nonlinear lattices. The first part is will be shown through the FPU problem and how the lattice they were studying has a deep connection with the KdV equation. The second part will be shown numerically. In Chapter 3, we present the complexification averaging method. This is done by first presenting the multiple scale method through an example. After that, by using a simple example again we show how passing to complex variables is useful to solving the problem. Finally, in Chapter 4, we study how energy transfers in a nonlinear lattice through travelling breathers. In particular, we study numerically what conditions have to be satisfied in order to achieve irreversible energy transfer.	el
heal.advisorName	Ρόθος, Βασίλειος	el
heal.committeeMemberName	Κομίνης, Ιωάννης	el
heal.committeeMemberName	Χαραλαμπόπουλος, Αντώνιος	el
heal.academicPublisher	Εθνικό Μετσόβιο Πολυτεχνείο. Σχολή Εφαρμοσμένων Μαθηματικών και Φυσικών Επιστημών	el
heal.academicPublisherID	ntua
heal.numberOfPages	66 σ.	el
heal.fullTextAvailability	false