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<DIV><FONT face=Arial><STRONG>Avviso</STRONG></FONT></DIV>
<DIV>Mini corso: 'Integrability in classical mechanics'<BR>4 lezioni
(8h)<BR>lecturer: Alain Albouy (IMCCE, Paris)<BR><BR>Le prime 2 lezioni
saranno<BR>martedi' 13 Dicembre ore 15-17<BR>mercoledi' 14 Dicembre
ore 10-12<BR>in aula seminari, Dip. di Matematica<BR><BR>Abstract: a
phenomenological observation of conservative systems in<BR>classical mechanics
is that they form two very distinct classes, the<BR>integrable ones and the
non-integrable ones. But different authors however<BR>disagree about many
examples. A basic example is the repulsive 3-body<BR>problem, considered by some
as integrable, by others as non-integrable.<BR><BR>I will present Bruns and
Poincare' classical non-integrability arguments<BR>for the 3-body problem, and
more recent results. I will discuss several<BR>attempts of definition of
integrability, and see what they give on<BR>the very basic examples of
integrable systems in classical mechanics:<BR>central force, two-fixed centers,
rigid body,
etc.<BR>-------------------------------------------------------------------------</DIV>
<DIV>
<P style="MARGIN-BOTTOM: 0cm"> <I><FONT size=2><FONT face=Arial>Liviana
Paoletti <BR> Segreteria Scientifica</FONT></FONT></I></P>
<P style="MARGIN-BOTTOM: 0cm"><FONT size=2><FONT face=Arial><I>Dipartimento di
Matematica<BR>"L. Tonelli" Universita' di Pisa<BR>tel.
0502213251<BR>e-mail </I><A
href="mailto:paoletti@dm.unipi.it"><I>paoletti@dm.unipi.it</I></A></FONT></FONT></P><PRE></PRE></DIV></BODY></HTML>