Copying the OP's answer which they posted in the question, rather than as an answer. If the OP comes back and adds this as their own answer, I'll remove this one.
I finally solved it by unninstalling all previous versiones of bootstrap and reinstalling it following the instructions on their web. So I pasted the css/js links into my head:
<link rel="stylesheet" href="//netdna.bootstrapcdn.com/bootstrap/3.1.1/css/bootstrap.min.css">
<script src="//netdna.bootstrapcdn.com/bootstrap/3.1.1/js/bootstrap.min.js"></script>
I copied bootstap.js and bootstap.min.js into my assets/js and I erased the css flies from my assets/stylesheets.
Finally I copied //= require bootstrap.min
into assest/js/applications.js
(after turbolinks and before tree) and I erased the *= require bootstrap.min
from assets/stylesheets/applications.css
.
That did the job.
(I did install Bootstrap too using Bower but I think the issue got solved when I linked my stylesheets correctly).