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Non-Local Methods for Pendulum-Like Feedback Systems

BuchKartoniert, Paperback
242 Seiten
Deutsch
Vieweg+Teubnererschienen am20.11.2013Softcover reprint of the original 1st ed. 1992
0 are already deecribed by I. Newton (116]. However it was 250 years later that F. Tricorni (147] carried out the first non-local qualitative investigation of equation (0.1) with arbitrary o ~ 0 and "'{ ~ 0. It was proved by F. Tricorni that any solution of (0.1) with o 0 corresponds either to a rotatory motion or to a damped oscillatory motion. Moreover, he showed that in the non-trivial case "'! :::; 1 there exists a bifurcation value ocr("'!) corresponding to a separatrix-loop, i.e. to a double-asymptotic to a saddle-point trajectory. For o ocr("'') global asymptotic stability takes place, i.e. every motion is a damped oscillation. The papers of F. Tricorni became familiar immediately.mehr
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Produkt

Klappentext0 are already deecribed by I. Newton (116]. However it was 250 years later that F. Tricorni (147] carried out the first non-local qualitative investigation of equation (0.1) with arbitrary o ~ 0 and "'{ ~ 0. It was proved by F. Tricorni that any solution of (0.1) with o 0 corresponds either to a rotatory motion or to a damped oscillatory motion. Moreover, he showed that in the non-trivial case "'! :::; 1 there exists a bifurcation value ocr("'!) corresponding to a separatrix-loop, i.e. to a double-asymptotic to a saddle-point trajectory. For o ocr("'') global asymptotic stability takes place, i.e. every motion is a damped oscillation. The papers of F. Tricorni became familiar immediately.
Details
ISBN/GTIN978-3-663-12262-3
ProduktartBuch
EinbandartKartoniert, Paperback
Erscheinungsjahr2013
Erscheinungsdatum20.11.2013
AuflageSoftcover reprint of the original 1st ed. 1992
ReiheTeubner-Texte zur Mathematik
Seiten242 Seiten
SpracheDeutsch
IllustrationenVII, 242 S.
Artikel-Nr.15434311

Inhalt/Kritik

Inhaltsverzeichnis
Systems with Multiple Equilibria.- Pendulum-Like Systems.- Invariant Cones.- The Bakaev-Guzh Technique.- The Method of Non-Local Reduction.- Circular Solutions and Cycles.- Synchronous Machines Equations.- Integro-Differential Equations.- Cycle Slipping in Phase-Controlled Systems.- Discrete Systems.mehr

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