Prof. Vassilis M Rothos
Lab of Nonlinear Mathematics, School of Mechanical Engineering, Aristotle University of Thessaloniki and
Complex System Group at Institute of Applied & Computational Mathematics (IACM), Crete, GREECE
Localized Structures in Nonlinear Magnetic metamaterial Lattices
Tuesday, May 3, 2016, 1:00pm to 2:00pm | Room 5-233
This talk reviews results about the existence of spatially localized waves in nonlinear chains of coupled oscillators, and provides new results for the Klein-Gordon (KG) lattice and model of a one-dimensional magnetic metamaterial formed by a discrete array of nonlinear resonators. Localized solutions include solitary waves of permanent form and traveling breathers which appear time periodic in a system of reference moving at constant velocity. For KG lattices of magnetic metamaterials, we obtain a general criterion for spectral stability of multi-site breathers for a small coupling constant. For the metamaterial lattices we focus on periodic traveling wave due to the presence of periodic force. We employ topological and variational methods to study the existence and the stability of periodic waves. These localized structures are also computed and discussed numerically.
Dr Vassilis Rothos is currently an Associate Professor in the School of Mechanical Engineering and member of Lab of Nonlinear Mathematics at the Aristotle University of Thessaloniki. He is a member of Complex System Group at Institute of Applied & Computational Mathematics at FORTH Heraklion Crete, Greece. He received his PhD from the University of Patras in 1999 under the supervision of Prof Tassos Bountis. His research focuses on applied dynamical systems, nonlinear waves in PDEs and Lattices and applied analysis.