Spectral theory of novel materials / Théorie spectrales des nouveaux matériaux

Collection Spectral theory of novel materials / Théorie spectrales des nouveaux matériaux

Organisateur(s) Exner, Pavel ; Kotani, Motoko ; Kuchment, Peter ; Zagrebnov, Valentin A.

Date(s) 18/04/2016 - 22/04/2016

URL associée http://conferences.cirm-math.fr/1399.html

00:00:00 / 00:00:00

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Overdamping in gyroscopic systems composed of high-loss and lossless components

De Alexander Figotin

Using a Lagrangian framework, we study overdamping phenomena in gyroscopic systems composed of two components, one of which is highly lossy and the other is lossless. The losses are accounted for by a Rayleigh dissipative function. We prove that selective overdamping is a generic phenomenon in Lagrangian systems with gyroscopic forces and give an analysis of the overdamping phenomena in such systems. Central to the analysis is the introduction of the notion of a dual Lagrangian system and this yields significant improvements on some results on modal dichotomy and overdamping.

Informations sur la vidéo

Date de captation 21/04/2016
Date de publication 04/05/2016
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.18962403
Citer cette vidéo Figotin, Alexander (21/04/2016). Overdamping in gyroscopic systems composed of high-loss and lossless components. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18962403
URL https://dx.doi.org/10.24350/CIRM.V.18962403

Domaine(s)

Bibliographie

Figotin, A., & Welters, A. (2016). On overdamping phenomena in gyroscopic systems composed of high-loss and lossless components. Journal of Mathematical Physics, 57(4), 042902 - http://dx.doi.org/10.1063/1.4944721

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