Damped Oscillations of Linear Systems: A Mathematical Introduction (Lecture Notes in Mathematics, Band 2023) - Softcover

Veselić, Krešimir

 
9783642213342: Damped Oscillations of Linear Systems: A Mathematical Introduction (Lecture Notes in Mathematics, Band 2023)
Softcover
ISBN 10: 3642213340 ISBN 13: 9783642213342
Verlag: Springer, 2011

Inhaltsangabe

The theory of linear damped oscillations was originally developed more than hundred years ago and is still of vital research interest to engineers, mathematicians and physicists alike. This theory plays a central role in explaining the stability of mechanical structures in civil engineering, but it also has applications in other fields such as electrical network systems and quantum mechanics.
This volume gives an introduction to linear finite dimensional damped systems as they are viewed by an applied mathematician. After a short overview of the physical principles leading to the linear system model, a largely self-contained mathematical theory for this model is presented. This includes the geometry of the underlying indefinite metric space, spectral theory of J-symmetric matrices and the associated quadratic eigenvalue problem. Particular attention is paid to the sensitivity issues which influence numerical computations. Finally, several recent research developments are included, e.g. Lyapunov stability and the perturbation of the time evolution.

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Von der hinteren Coverseite

The theory of linear damped oscillations was originally developed more than hundred years ago and is still of vital research interest to engineers, mathematicians and physicists alike. This theory plays a central role in explaining the stability of mechanical structures in civil engineering, but it also has applications in other fields such as electrical network systems and quantum mechanics.
This volume gives an introduction to linear finite dimensional damped systems as they are viewed by an applied mathematician. After a short overview of the physical principles leading to the linear system model, a largely self-contained mathematical theory for this model is presented. This includes the geometry of the underlying indefinite metric space, spectral theory of J-symmetric matrices and the associated quadratic eigenvalue problem. Particular attention is paid to the sensitivity issues which influence numerical computations. Finally, several recent research developments are included, e.g. Lyapunov stability and the perturbation of the time evolution.

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Verlag
Springer
Erscheinungsdatum
2011
Sprache
Englisch
ISBN 10 
3642213340
ISBN 13 
9783642213342
Einband
Taschenbuch
Anzahl der Seiten
228
Kontakt zum Hersteller
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Darmstadt
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Deutschland

Weitere beliebte Ausgaben desselben Titels

9783642213366: Damped Oscillations of Linear Systems: A Mathematical Introduction

Vorgestellte Ausgabe

ISBN 10:  3642213367 ISBN 13:  9783642213366
Verlag: Springer, 2011
Softcover