TITLE:
A numerical method for computing unstable quasi-periodic solutions for
the 2--D Poiseuille flow

AUTHORS:
Pablo S. Casas^(1), Angel Jorba^(2)

(1) Departament de Matem\`atica Aplicada I,
    Universitat Polit\`ecnica de Catalunya,
    Diagonal 647, 08028 Barcelona (Spain).

(2) Departament de Matem\`atica Aplicada i An\`alisi,
    Universitat de Barcelona,
    Gran Via 585, 08007 Barcelona (Spain).

E-mails: pablo@vilma.upc.es, angel@maia.ub.es

ABSTRACT:
We study the dynamics of two-dimensional Poiseuille flow. Firstly we
obtain the family of periodic solutions which bifurcates from the
laminar flow, together with its stability for several values of the
wave number $\alpha$. The curve of periodic flows presents several
Hopf bifurcations. For $\alpha=1.02056$ we follow the branches of
quasi-periodic orbits that are born at one of the bifurcation points.
