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Non-Local Methods for Pendulum-Like Feedback Systems
Teubner-Texte zur Mathematik
ISBN/EAN: 9783663122623
Umbreit-Nr.: 5872302
Sprache:
Deutsch
Umfang: vii, 242 S.
Format in cm:
Einband:
kartoniertes Buch
Erschienen am 20.11.2013
Auflage: 1/1992
- Zusatztext
- 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.