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Lectures on bifurcation from periodic orbits -- General introduction to steady state bifurcation -- Anosov diffeomorphisms with pinched spectrum -- Formal normal form theorems for vector fields and some consequences for bifurcations in the volume preserving case -- Quasi periodic flow near a codimension one singularity of a divergence free vector field in dimension three -- A C2 Kupka-Smale diffeomorphism of the disk with no sources or sinks -- On a codimension two bifurcation -- Stability and bifurcation in a parabolic equation -- Wandering intervals -- Space- and time-periodic perturbations of the Sine-Gordon equation -- Simple computation of bifurcating invariant circles for mappings -- Families of vector fields with finite modulus of stability -- On the dimension of the compact invariant sets of certain non-linear maps -- More topological entropy for geodesic flows -- Controllability of multi-trajectories on Lie groups -- Characterising diffeomorphisms with modulus of stability