First of all, good for you on knowing when to get out. Lots of women don't and end up hurt badly or dead. Not to mention the kids being subjected to the violence or hurt themselves OR growing up to repeat the cycle.
This is perfectly normal for you to feel strange or bad about things. You've lived with fear, shame, tension, stress, hurt, etc. Now that you are away from it, you've had time to breathe and to think. But don't go down the path of YOU being wrong about leaving or keeping the kids away from him. You did the RIGHT thing! You read everyday about men who go crazy and end up putting their wives/girlfriends/children in the hospital or the grave. It's not a predictable situation.
Don't let ANYONE tell you that you should go back or make you feel guilty or bad about leaving. So what if he's lost without you? Did he stop to think about that before he got violent? No! Did he stop to think that if he REALLY loved you, he wouldn't get violent? No! People who really love each other do NOT get violent. He needs anger management and even after that, there is no guarantee he won't revert back to violent behavior.
I suggest that you contact an attorney right away. Do NOT let him know where you are, don't give in to any "texts" you get, don't feel sorry for him at all. And don't go back, specially if he "promises" to never do it again....he WILL. He's an adult and should be able to control himself. He should place you and the kids above anything else.
It's normal for you to miss him, after all, you married him right? Lived with him for however long, saw him every day. But you can miss a dog or cat too. This too shall pass. A man that lets his temper get control of him is NOT the type of man to be around or to raise children with. THAT is what is not normal.
Try to spend time with the kids, I don't know how old they are, but if they are older, they might be scared and confused also. If so, get them help. There are alot of resources out there to help you and them. Go to http://www.hawc.org/site/c.olI0IfNYJwE/b.4430393/k.7593/H... for info or call ###-###-####. They are WONDERFUL over there, very sweet and will give you all the support and info you need.
This is not a life that you have to "put up with". You CAN make it through this. Think of the kids. Think of yourself. You and them deserve better.
Please let us know how you are and if you want to talk, just send me a message.
Good luck! K.