Can oscillators be made from a single supply?
Creating a single-supply version of a dual-supply circuit is fairly trivial - the key is to generate a pseudo-ground. Take a dual-supply oscillator of your choice. Replace the positive supply with one with twice the amplitude. Instead of a negative supply, ground these points. Now, create a pseudo ground by making a voltage divider with 2 equal resistors of, let's say, 1k to 10k. Buffer the output of the divider with an opamp follower. All of the ground connections of the original circuit get connected to this opamp, and you should be in business. 

The buffer amp should be faster than the other opamps, and it should have a fairly high current capability, but other than that it's a straightforward proposition.

Note that the new oscillator output is referenced to pseudo-ground, rather than ground, and the amount of noise and distortion present if you reference it to ground will depend entirely on your ability to generate a clean, stable pseudoground. With this in mind, the lower leg of the voltage divider may profitably be replaced with a zener, or the entire divider with a good voltage reference. The reference does not have to be exactly half the positive supply voltage, but doing this will maximize the voltage swing you can get for the AC value of the oscillator.