Title	Construction of quasi-periodic response solutions for forced systems with strong damping
Creator	Calleja, Renato
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-06-13T10:02
Description	I will present a method for constructing quasi-periodic response solutions (i.e. quasi-periodic solutions with the same frequency as the forcing) for over-damped systems. Our method applies to non-linear wave equations subject to very strong damping and quasi-periodic external forcing and to the varactor equation in electronic engineering. The strong damping leads to very few small divisors which allows to prove the existence by using a contraction mapping argument requiring very weak non-resonance conditions on the frequency. This is joint work with A. Celletti, L. Corsi, and R. de la Llave.
Extent	40.0 minutes
Subject	Mathematics; Dynamical systems and ergodic theory; Partial differential equations
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Universidad Nacional Autónoma de México
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2019-12-11
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0387021
URI	http://hdl.handle.net/2429/72668
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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