Title: Dynamics near connecting orbits in reversible systems

Speaker: Juergen Knobloch, Ilmenau

We consider reversible systems $\dot x=f(x,\lambda)$ having for $\lambda=0$
a degenerate homoclinic orbit $\Gamma$ asymptotic to a hyperbolic fixed point.
By means of Lin`s method we study the dynamics near $\Gamma$.
We prove the existence and non-existence, respectively, of N-periodic orbits,
N-homoclinic orbits and orbits related to shift dynamics.