Buch, Deutsch, 242 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 376 g
Reihe: Teubner-Texte zur Mathematik
Buch, Deutsch, 242 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 376 g
Reihe: Teubner-Texte zur Mathematik
ISBN: 978-3-663-12262-3
Verlag: Vieweg+Teubner Verlag
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.
Zielgruppe
Upper undergraduate
Weitere Infos & Material
Systems with Multiple Equilibria.- Pendulum-Like Systems.- Invariant Cones.- The Bakaev-Guzh Technique.- The Method of Non-Local Reduction.- Circular Solutions and Cycles.- Synchronous Machines Equations.- Integro-Differential Equations.- Cycle Slipping in Phase-Controlled Systems.- Discrete Systems.
