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Non-Local Methods for Pendulum-Like Feedback Systems

Name: Non-Local Methods for Pendulum-Like Feedback Systems
Brand: Vieweg+teubner Verlag
SKU: 02257283
Price: 34.99 EUR
Availability: InStock
Author: Volker Reitmann
ISBN: 9783663122623

Volker Reitmann

Vera B. Smirnova

Gennadij A. Leonov

Langue

Allemand

Livre Livre de poche

Code Libristo: 02257283

Éditeurs Vieweg+teubner Verlag, novembre 2013

0 are already deecribed by I. Newton (116]. However it was 250 years later that F. Tricorni (147] ca... Description détaillée

Code Libristo: 02257283

86 b

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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.