Bifurcation analysis of discrete breathers in a nonlinear bent chain of oscillators, J Cuevas, WACB04

Title: Bifurcation analysis of discrete breathers in a nonlinear bent chain of oscillators.

Speaker: J Cuevas (slides 540 Kb, video 1 160 Kb, video 2 700 Kb).
With JFR Archilla, FR Romero, C Katerji and PG Kevrekidis

Abstract:

Discrete breathers are spatially localized, time periodic vibration modes that can appear in nonlinear lattice equations. These kind of solutions are very generic and can also exist in non homogeneous lattices. Geometric effects in lattices can be modelled, in some cases, as inhomogeneities. In this work, we will focus in the analysis of the bifurcations that emerge when different kinds of discrete breathers are considered in a wedged chain of oscillators as a function of the bending angle. Our model can reproduce some types of photonic crystals and also bent chains of DNA. These bifurcations will be related to the scattering and switching properties of mobile localized modes with the bend.

WACB04: Workshop on Analysis and Continuation of Bifurcations, Sevilla, 19-21 May 2004.
Talk by J Cuevas.