Question

different rose curve names?

Answer 1

come on. The fact that you ask the question means you have read about the curves. Try looking in your text for the "names".

What difference does the name make? The function in polar coordinates is what matters.

Come on back when you have a specific problem in mind. Jiskha is not really the place for long discussions on general topics which can be found in wikipedia or other places on line or in your text.