Rabbits do not menstruate or go into heat – ovulation is stimulated by the act of mating, which is part of why a female bun can get pregnant if a male mounts her for even a few seconds.

If she is pulling fur she is likely suffering a false pregnancy, caused by high levels of hormones.  Her body is convinced she is going to have babies OMGRIGHTNOW, so she is frantic and miserable.

You really ought to have her spayed as soon as possible.  In addition to her hormones making her miserable if she’s not actually breeding, female rabbits have terribly high risk for reproductive and other cancers because of high hormone levels – as high as 85%!  Spayed females live much longer and healthier lives.

What symptoms is she showing that led you to believe she was menstruating or in heat?  There might be something very wrong.

Hmmmm.   If there is no way for her to be pregnant, then it sounds like she’s going through a psuedo pregnancy, which I have read lasts for a little over two weeks.  This is not uncommon for unaltered females, and it can make things a little stressful on both of you.  You usually have to wait it out unless there is reason for concern – not pooping, eating or drinking.  

So why has she be going into heat during the same time as your cycle?  It may trigger it, but that is an absolute guess, but I wouldn’t be surprised that if I researched a little more that that too would not be unusual.  In the wild the females usually become pregnant within a week of each other, so they each may trigger oestrus in each other.  

yes – I’d also echo that it sounds like a false pregnancy based on the fact that she’s pulling fur. It is stressful on your both and would recommend you getting her spayed soon.