Every person in an abusive relationship, whether they are the abuser or abused, can influence the dynamics of the relationship. Now this doesn't mean to imply that domestic abuse survivors are responsible for the battering or even have the ability to end the abuse perpetuated upon them.
What it does mean is that many batterers (at least the ones we see) have an innate potential for refocusing and thus reinventing themselves, their relationships and their lives. And domestic abuse victims, too,