Non-Local Methods for Pendulum-Like Feedback Systems - Couverture souple

Leonov, Gennadij A.

Couverture souple

ISBN 10 : 366312262X ISBN 13 : 9783663122623

Editeur : Vieweg+Teubner Verlag, 2013

Synopsis

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.

Détails de l'édition

• Éditeur: Vieweg+Teubner Verlag
• Date d'édition: 2013
• Langue: allemand
• ISBN 10: 366312262X
• ISBN 13: 9783663122623
• Reliure: Broché
• Nombre de pages: 256
• Coordonnées du fabricant: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Allemagne