From Kepler to Kolmogorov: the problem of stability

Dynamical Systems Working Seminar
Friday, November 17, 2017 - 15:00
1 hour (actually 50 minutes)
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.