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Non-Local Methods for Pendulum-Like Feedback Systems

Non-Local Methods for Pendulum-Like Feedback Systems

Vera B. Smirnova / Volker Reitmann

45,55 €
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Editorial:
Springer Nature B.V.
Año de edición:
2013
Materia
Ingeniería: general
ISBN:
9783663122623
45,55 €
IVA incluido
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Sobre IBD

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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