Title: The role of Michel H\'enon in detecting regular and chaotic dynamics in
       conservative systems

Author: Carles Sim\'o
        Departament de Matem\`atica Aplicada i An\`alisi
	Universitat de Barcelona, Barcelona, Catalunya
	{\tt carles@maia.ub.es}

Talk delivered at the Michel H\'enon Memorial, Institut Poincar\'e
Paris, December 4-5, 2013

Abstract:

Michel H\'enon displayed a series of clever models for several phenomena.
We shall consider the conservative case. The importance of these works goes
far beyond presenting a simple model. Many of the key mechanisms in this area
of the dynamics can be understood from the analysis of H\'enon and related
models. In the talk we consider the quadratic area-preserving maps and the
H\'enon-Heiles potential. Several related questions and extensions are
reported.