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This lecture explains what the famous Kolmogorov-Arnold-Moser (KAM) theorem on perturbed integrable Hamiltonian system says, and gives an ...
YouTube-Nils Berglund
Intro
Why shouldn't the Solar System be stable?
Billiards
The standard map
Invariant curves
Small divisors
Diophantine numbers
Back to invariant curves
Newton's method
The KAM theorem
Stability of elliptic fixed points
Is the Solar System stable?
Seminario de Teoría KAM para sistemas simplécticos conformes Plática dada por Renato Calleja (Instituto de Investigaciones en Matemáticas ...
YouTube-Ciencias TV