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portada Non-Local Methods for Pendulum-Like Feedback Systems (in German)
Type
Physical Book
Publisher
Author
Language
German
Pages
249
Format
Paperback
ISBN13
9783663122623
Edition No.
1

Non-Local Methods for Pendulum-Like Feedback Systems (in German)

Volker Reitmann; Vera B. Smirnova (Author) · Vieweg+Teubner Verlag, · Paperback

Non-Local Methods for Pendulum-Like Feedback Systems (in German) - Volker Reitmann; Vera B. Smirnova

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Synopsis "Non-Local Methods for Pendulum-Like Feedback Systems (in German)"

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.

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