00000cmm a22000004a 4500 UP-99796217611272838 Buklod 20230504003249.0 m go j cr |n |||auu|a 140512s xx d u 9783642213359 (eBook) 3642213359 (eBook) (iLib)UPD-00216804743 DLC DML eng DLMUC Q A865 V47 2011eb Veselic,Kresimir Damped oscillations of linear systems a mathematical introduction Kresimir Veselic. Berlin ec2011. London Springer New York 1 online resource (xv, 209 p.) ill. Lecture Notes in Mathematics 2023 IP-based subscription, access limited to within on campus computer network. Access via Electronic Resources of the UPD University Library Website. 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 systems model, a largely self-contained mathematical theory for this model is presented. this includes the geometry of the underlying indefinite 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. 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 systems model, a largely self-contained mathematical theory for this model is presented. this includes the geometry of the underlying indefinite 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. Electronic reproduction. New York SpringerLink 2011. Available via World Wide Web through SpringerLink. Harmonic oscillators Textbooks. Linear systems Textbooks. Electronic books. SpringerLink (Online service). Electronic Resource Available for University of the Philippines Diliman via SpringerLink. Click here to access http://link.springer.com/book/10.1007/978-3-642-21335-9 FO Monograph UPD DMLR Electronic Resource