  We answer a question of Burns and Wilkinson, showing that there are open
families of volume-preserving partially hyperbolic diffeomorphisms which are
accessible and center bunched and neither dynamically coherent nor Anosov. We
also show in the volume-preserving setting that any diffeomorphism which is
partially hyperbolic and Anosov may be isotoped to a diffeomorphism which is
partially hyperbolic and not Anosov.
