Hmm, they're slightly different. To take over is to start doing what someone else was doing e.g. '''My brother took over the cooking as i went to the store'', and to take on is to usually accept responsibility of something e.g. '' I can't take on any more work today''. However, it can have more meanings such as employing someone ( we can't take on anymore staff) or fighting/ competing against someone ( Italy will be taking on France for tonight's football match)
Hope that helped ^^