Non-Local Methods for Pendulum-Like Feedback Systems - Brossura

Leonov, Gennadij A.

Brossura

ISBN 10: 366312262X ISBN 13: 9783663122623

Casa editrice: Vieweg+Teubner Verlag, 2013

Riassunto

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("'!) equation (0.1) admits damped oscillations as weil as rotatory motions. For o > ocr("'') global asymptotic stability takes place, i.e. every motion is a damped oscillation. The papers of F. Tricorni became familiar immediately.

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Contenuti

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.

Dettagli dell'edizione

• Editore: Vieweg+Teubner Verlag
• Data di pubblicazione: 2013
• Lingua: Tedesco
• ISBN 10: 366312262X
• ISBN 13: 9783663122623
• Rilegatura: Copertina flessibile
• Numero di pagine: 256
• Contatto del produttore: Springer-Verlag GmbH; customerservice@springernature.com; ; Tiergartenstraße 17; Heidelberg; Baden-Württemberg; 69121; Germania