Hamiltonian Perturbation Theory: Separatrix Splitting, Theory and Applications
timetable:
Mon 5 May, 14:30 - 15:30, Aula Dini
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Multi-frequency splitting of separatrices
speaker: Amadeu Delshams (Barcelona UPC)abstract: We measure the (exponentially small) splitting of invariant manifolds of whiskered tori with two or three frequencies arising in nearly-integrable Hamiltonian systems. In particular, we consider 2-dimensional tori with a frequency vector \(\omega=(1,\Omega)\) where \(\Omega\) is a quadratic or constant type number, or 3-dimensional tori with a frequency vector \(\omega=(1,\Omega,\Omega^2)\) where \(\Omega\) is a cubic irrational number. The asymptotic estimates and lower bounds obtained depend strongly on the arithmetic properties of the frequencies. This talk is based on joint work with Marina Gonchenko and Pere Gutierrez.
timetable:
Mon 5 May, 14:30 - 15:30, Aula Dini
<< Go back