Does jasmine die back in winter

[Soon2bC]

I have grown various jasmines in every house I have lived in. Last year I moved house and I planted one which took off and covered most of my garage wall and flowered in summer. I have just looked out and it is all brown and dry, I honestly don't recall ever seeing one do that before but I am not sure what type this one is as it was a gift without a tag.
Is this normal behavior? how should i deal with it? cut it back?

Leaves fall off in the winter. Cut back now if you want to.

Thanks Tiggy, the one in my last garden was a winter jasmine so I expect this is why I am seeing such a difference. I didnt want to cut it and find out that i had killed it off as a result of this action