I too have had dreams about bears. One was a white polar bear that carried me away on his back to save me from a terrible situation. The next was brown and angry. It chased me with the intent of hurting me. I've learned, take this for what it's worth, when we dream of animals and it's recurring, they have chosen you, to be a Spirit Guide for. A Shaman recently confirmed this for me. Probably not the response you were expecting and I don't know your religious views, so please don't take offense. I would look up Brown Bear Spirit Animal Guide and see what it has to say. Ask these bears and snakes, before you go to bed and meditate on the thought, "What do you have to teach me? Can you share you message in away I can understand and receive it?" I would be curious to know if you try this and see what happens. Maybe your fear will lesson and if they know your intent is to understand, maybe they will reach out in a non-scary way. Good luck!