Non-Local Methods for Pendulum-Like Feedback Systems

Reitmann, Volker; Smirnova, Vera B; Gennadij a Leonov; Volker Reitmann; Vera B Smirnova

ISBN 10: 366312262X / ISBN 13: 9783663122623

Published by Vieweg+teubner Verlag, 2013

About this Item

Series: Teubner-Texte Zur Mathematik. Num Pages: 242 pages, black & white illustrations, bibliography. BIC Classification: TBC. Category: (G) General (US: Trade). Dimension: 229 x 152 x 14. Weight in Grams: 345. . 2013. Paperback / so. . . . . Books ship from the US and Ireland.

Seller Inventory # V9783663122623

Bibliographic Details

• Title: Non-Local Methods for Pendulum-Like Feedback Systems
• Publisher: Vieweg+teubner Verlag
• Publication Date: 2013
• Language: German
• ISBN 10: 366312262X
• ISBN 13: 9783663122623
• Binding: Soft cover
• Condition: New

About this title

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.