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Documents  Figotin, Alexander | enregistrements trouvés : 2

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Research talks;Partial Differential Equations;Mathematical Physics

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. 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 ...

37J05 ; 37J15 ; 37J40 ; 70H03 ; 70H05 ; 70H09

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- 583 p.
ISBN 978-3-540-50622-5

Grundlehren der mathematischen wissenschaften , 0297

Localisation : Collection 1er étage

densité intégrée des états # exposant de Lyapunov # fonction de Nevanlinna # opérateur aléatoire # opérateur de Schrödinger # opérateur différentiel # opérateur presque périodique # opérateur transitif métrique # propriété asymptotique # spectre

35J10 ; 47-02 ; 60H25

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