убегать - to be in a process of running away - imperfective
убежать - to complete running away - perfective
убегаться - perfective - to exhaust oneself with running
In the same way:
уплывать, уплыть, уплаваться
уезжать, уехать, уездиться
увозить, увезти, увозиться
etc...
compare to
бегать - iterative (indefinite) imperfective
бежать - progressive (definite) imperfective
There is complicated and flexible pattern including stress. There IS a system, even if it is difficult to formulate explicitly.
BTW here is nice picture about verb aspect.