Les Dijonnais call them Velodi (velo for bike and di for Dijon) In Paris you can find Vélib and in Lyon Velov.
All you need is an access to the internet and a credit card: you will get an access number and a pin for 1 €.
Using Velodi is free for the first 30 minutes, which is great. For a bus ticket you need to pay 1€ per direction.
Come on over and discover Dijon with Velodi!!