Cascades of period doubling bifurcations: a prerequisite for horseshoes.
Connected simple systems, transition matrices and heteroclinic bifurcations.
On some global bifurcations connected with disappearance of a saddle-node fixed point.
General bifurcations from periodic solutions with spatiotemporal symmetry, including mode interactions and resonances, in preparation.
Further increase of the wave amplitude leads to further bifurcations and eventually to a chaotic surface agitation.
However, qualitative analysis of equilibria, bifurcations or asymptotic behaviour is more difficult than with differential equation models.
We discuss the dependence of stationary measures on an auxiliary parameter, thus describing bifurcations of families of random diffeomorphisms.
The following local bifurcations can be found by straightforward calculations.
