From Kepler to Kolmogorov: the problem of stability

Series
Dynamical Systems Working Seminar
Time
Friday, November 17, 2017 - 3:00pm for 1 hour (actually 50 minutes)
Location
Skiles 154
Speaker
Bhanu Kumar – GT Math
Organizer
Adrian Perez Bustamante
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.