The stargates in the Pegasus galaxy have different glyphs on them than the ones in the Milky Way galaxy (which are mainly cosmetic) and there are fewer glyphs on the Pegasus galaxy gates. I don't remember the glyphs on the gates on board the Destiny, but I do remember that they seem to have a much more limited range. They can't connect to gates all over the local galaxy, like Milky Way gates seem to be able to do.
Are there other differences? What are the differences between the gates on the Destiny, in the Milky Way, and in the Pegasus galaxy?