On the broad integrability of a dynamical system

Relatore:  Nicola Sansonetto - Università di Verona
  lunedì 9 gennaio 2017 alle ore 14.30
A (differential) dynamical system is given by a vector field on a manifold. One important topic in the study of dynamical systems concerns the possible integrability of the system. 
There are various notions of integrability of a vector field, in this seminar we will illustrate the extension of the classical Hamiltonian notion of complete integrability (or quasi-periodicity of the dynamics on tori) outside the Hamiltonian framework, called broad-integrability. Starting from a ODE in normal form we will construct a criteria which guarantees the broad integrability of a dynamical system and we will show some basic examples give.

Place: Room M

Referente
Antonio Marigonda

Referente esterno
Data pubblicazione
6 gennaio 2017

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