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("'!) equation (0.1) admits damped oscillations as weil as rotatory motions. 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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Non-Local Methods for Pendulum-Like Feedback Systems (Teubner-Texte zur Mathematik) (German Edition)
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Non-Local Methods for Pendulum-Like Feedback Systems
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Non-Local Methods for Pendulum-Like Feedback Systems
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Non-Local Methods for Pendulum-Like Feedback Systems
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 242 pp. Deutsch. Seller Inventory # 9783663122623
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Non-Local Methods for Pendulum-Like Feedback Systems
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Non-Local Methods for Pendulum-Like Feedback Systems
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Vieweg Verlag, Friedr, & Sohn Verlagsgesellschaft mbH, 2013
ISBN 10: 366312262X
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Condition: New. 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
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