Abstract:
In this talk we are going to discuss the recently developed discrete averaging method designed to study discrete time dynamical systems defined by iterates of a map. The method uses weighted averages over a segment of trajectory to find an autonomous vector field that approximates the original map.
This method provides a simple and effective tool for finding adiabatic invariants, both numerically and analytically. It is capable of reproducing various theorems of the classical averaging theory without requiring the suspension procedure that assigns a rapidly oscillating flow to the map. In particular, discrete averaging
was recently used for a direct proof of the Nekhoroshev theorem for a near-to-integrable map. In this talk we will discuss an application of the discrete averaging to the dynamics of a map near a resonant fixed point. The talk is based on a joint work with Arturo Vieiro.
Il seminario si svolgerà in presenza presso il Dipartimento di Matematica e Fisica, Lungotevere Dante 376, aula M2
Link identifier #identifier__189702-1Locandina
This post is also available in:
Link identifier #identifier__159441-5
Eng