Some areas are considered "mandatory" evacuation areas. If you insist on staying in a flood zone or in your waterfront home, I don't think you can be forced to leave, but local law enforcement may come by to get information on your next of kin. There is a good chance they'll need it. Keep in mind, too, that if you change your mind at the height of the storm, no one is coming to help you.
If your home is sturdy, built up to code, and on high ground, you may be better off staying put. If anything does happen to your house, you'll be there to do temporary repairs or to move furnishings out of the room that's got the tree in it, before they are damaged further by water. You won't have to worry about your pets. You'll save money on gas to get out of town. Once you're out of town, you might not be able to get back in for a few days due to debris on the roads. There's a lot of benefits to hunkering down at home.
If you think your home will be severely damaged by constant high winds, then leave, for your own safety.
This is a decision that must be made by you, knowing the condition of your house.