Non-Local Methods for Pendulum-Like Feedback Systems
Aus der Reihe
Teubner-Texte zur Mathematik
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Sprache:Deutsch
Fr. 49.90
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Beschreibung
Produktdetails
Einband
Taschenbuch
Erscheinungsdatum
20.11.2013
Verlag
Vieweg & TeubnerSeitenzahl
242
Maße (L/B/H)
22.9/15.2/1.5 cm
Gewicht
376 g
Auflage
Softcover reprint of the original 1st ed. 1992
Sprache
Deutsch
ISBN
978-3-663-12262-3
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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