ELFT HÍRADÓ

[StatFizSzeminar <statfiz AT glu.elte.hu>]

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                   ELTE Institute of Physics
                SEMINARS IN STATISTICAL PHYSICS


                        27th April 2016
                       Wednesday, 11 a.m.

                   Francisco González Montoya

                 Instituto de Ciencias Físicas,
      Universidad Nacional Autónoma de México, Cuernavaca,
        School of Mathematics, University of Bristol, UK

        "A generalization of a hyperbolic periodic orbit"


The hyperbolic periodic orbits play an essential role in our understanding of
the dynamics in the two degree of freedom Hamiltonian systems. The reason is
that the stable and unstable manifolds of these orbits are unpenetrable 
barriers
which divide the constant energy manifold. In the three degrees of freedom
systems there exists a natural generalization of the hyperbolic periodic 
orbits,
the Normally Hyperbolic Invariant Manifolds (NHIM). As an example we 
construct a
NHIM in the phase space of the motion of an electron in a magnetic dipole 
field.
An important property of the NHIMs and their stable and unstable manifolds is
that they are robust under perturbations. In this talk we explain, in a basic
way, why those manifolds are robust under perturbations.


                          Room 2.54
     1117 Budapest, Pázmány P. sétány 1/A (Northern Block)
              home page: http://glu.elte.hu/~statfiz


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