Avviso Mini corso: 'Integrability in classical mechanics' 4 lezioni (8h) lecturer: Alain Albouy (IMCCE, Paris)
Le prime 2 lezioni saranno martedi' 13 Dicembre ore 15-17 mercoledi' 14 Dicembre ore 10-12 in aula seminari, Dip. di Matematica
Abstract: a phenomenological observation of conservative systems in classical mechanics is that they form two very distinct classes, the integrable ones and the non-integrable ones. But different authors however disagree about many examples. A basic example is the repulsive 3-body problem, considered by some as integrable, by others as non-integrable.
I will present Bruns and Poincare' classical non-integrability arguments for the 3-body problem, and more recent results. I will discuss several attempts of definition of integrability, and see what they give on the very basic examples of integrable systems in classical mechanics: central force, two-fixed centers, rigid body, etc. ------------------------------------------------------------------------- Liviana Paoletti Segreteria Scientifica
Dipartimento di Matematica "L. Tonelli" Universita' di Pisa tel. 0502213251 e-mail paoletti@dm.unipi.it
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