Non-Local Methods for Pendulum-Like Feedback Systems

Volker Reitmann

ISBN 10: 366312262X / ISBN 13: 9783663122623

Published by Vieweg+Teubner Verlag, 2013

About this Item

Druck auf Anfrage Neuware - Printed after ordering - 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.

Seller Inventory # 9783663122623

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: Taschenbuch
• Condition: Neu
• Dimensions: 229W x 152H x 15D millimeters 229 millimeters width by 152 millimeters height by 15 millimeters depth
• Weight: 376 grams

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.