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Marco Antonio Teixeira

  1. On global linearization of planar involutions.

    Thu, 05/26/2011 - 15:01 — SomNambul
    Authors: Marco Antonio Teixeira, Benito Pires
    Subjects: Dynamical Systems
    Abstract

    Let $\phi:\R^2\to\R^2$ be an orientation--preserving $C^1$ involution such
    that $\phi(0)=0$ and let ${\rm Spc}\,(\phi)=\{{\rm Eigenvalues\,\,of}\,\,
    D\phi(p)\mid p\in\R^2\}$.

  2. Branching of periodic orbits in reversible hamiltonian systems.

    Wed, 03/03/2010 - 16:01 — SomNambul
    Authors: Claudio Buzzi, Luci Any Roberto, Marco Antonio Teixeira
    Subjects: Dynamical Systems
    Abstract

    This paper deals with the dynamics of time-reversible Hamiltonian vector
    fields with 2 and 3 degrees of freedom around an elliptic equilibrium point in
    presence of symplectic involutions. The main results discuss the existence of
    one-parameter families of reversible periodic solutions terminating at the
    equilibrium. The main techniques used are Birkhoff and Belitskii normal forms
    combined with the Liapunov-Schmidt reduction.

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