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Non-Local Methods for Pendulum-Like Feedback Systems (Teubner-Texte zur Mathematik) - Tapa blanda

Leonov, Gennadij A.

 
9783663122623: Non-Local Methods for Pendulum-Like Feedback Systems (Teubner-Texte zur Mathematik)
Tapa blanda
ISBN 10: 366312262X ISBN 13: 9783663122623
Editorial: Vieweg+Teubner Verlag, 2013

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

Reseña del editor

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Vieweg+Teubner Verlag
Año de publicación
2013
Idioma
Alemán
ISBN 10 
366312262X
ISBN 13 
9783663122623
Encuadernación
Tapa blanda
Número de páginas
256
Contacto del fabricante
Springer-Verlag GmbH
customerservice@springernature.com

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