Damped Oscillations of Linear Systems: A Mathematical by Krešimir Veselić PDF

By Krešimir Veselić

ISBN-10: 3642213340

ISBN-13: 9783642213342

the idea of linear damped oscillations was once initially constructed greater than hundred years in the past and continues to be of significant study curiosity to engineers, mathematicians and physicists alike. This idea performs a vital function in explaining the steadiness of mechanical constructions in civil engineering, however it additionally has purposes in different fields akin to electric community structures and quantum mechanics.
This quantity provides an advent to linear finite dimensional damped platforms as they're seen by way of an utilized mathematician. After a brief review of the actual rules resulting in the linear approach version, a principally self-contained mathematical concept for this version is gifted. This comprises the geometry of the underlying indefinite metric area, spectral conception of J-symmetric matrices and the linked quadratic eigenvalue challenge. specific cognizance is paid to the sensitivity matters which impact numerical computations. ultimately, a number of fresh study advancements are incorporated, e.g. Lyapunov balance and the perturbation of the time evolution.

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Damped Oscillations of Linear Systems: A Mathematical Introduction (Lecture Notes in Mathematics) by Krešimir Veselić


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