From Kepler to Kolmogorov: the problem of stability

Series: 
Dynamical Systems Working Seminar
Friday, November 17, 2017 - 3:00pm
1 hour (actually 50 minutes)
Location: 
Skiles 154
,  
GT Math

This lecture will discuss
the stability of perturbations of integrable Hamiltonian systems. A
brief discussion of history, integrability, and the Poincaré
nonintegrability theorem will be followed by the proof of the theorem of
Kolmogorov on persistence of
invariant tori. Time permitting, the problem of small divisors may be
briefly discussed. This lecture wIll follow the slides from the
Satellite Dynamics and Space Missions 2017 summer school held earlier
this semester in Viterbo, Italy.