Contrôle Hamiltonien: théorie et application

Abstract

This memoir is based on articles "Perturbation Theory and Control in Classical or Quantum Mechanics by an Inversion Formula" and "Controlling Chaos in Area-Preserving Maps" which treat Hamiltonian control. In the first part, one presents the Hamiltonians systems and the KAM theorem before introducing a theoretical framework which leads to the expression of the required control term. In th second time, one numerically tests the results obtained theoretically on the model of the periodically forced pendulum.

Date of Award	2007
Original language	French
Supervisor	Timoteo Carletti (Supervisor), Duccio Fanelli (Jury) & Anne Lemaitre (Jury)