I am not bipolar, but I have history with an ex that was. Yes, this is quite common. Since you've stated this is a recent relationship, I will warn you. This is going to be a rough, bumpy, unforgiving road. I am not going to tell you what to do. It is your own business. But from my experience, I wish I would not have continued a relationship. It caused me a great deal of pain and ultimately it ended badly (her doing) just like everyone told me it would. I still suffer from the aftermath and its been almost a year. I can't get those years back, but I learned what I will no longer tolerate. Please be cautious. If it feels wrong, listen to your inner being. It is protecting you. Good luck to you. You are going to need it!