Both you and your ex-partner are entitled to live in your home after separation regardless of whose name is on the title. You cannot be forced to leave just because the property is not in your name. The only way you can be forced to leave is if the Court orders it.
If you do have to move out, it will not affect your property entitlement. Your rights continue even if you leave. If you fear violence, you should seek advice immediately.
Sometimes one party may seek a sole occupancy order which requires the other party to leave. This allows the remaining spouse to live in the house until the property is divided. This order will usually only be made in exceptional situations where there is domestic violence, threats are being made or if the house has been adjusted because somebody has a disability.