Hello, does anybody knows if a manual or a book exist that explains how to frame and insulate a double stud wall? thanks

Not real detailed, but here is a good starting point:
http://www.buildingscience.com/resources/high-r-value-wall-assemblies

It also give you a chance to compare sustems.

It's a good link, although it doesn't favor a double stud wall. Many of the options are very similar in terms of overall score although studs plus external EPS foam stands out.

Alexis,
There are oh so many ways double stud walls have been built. Do you have specific questions? What impacts durability is different in different climates. One of the principal reasons for double stud construction is lower heat transfer by more insulation and reduced "thermal bridging". I've seen many double stud walls that seriously compromise thermal performance with nasty thermal bridges at top and bottom plates and rim joist & floor framing. As to framing, whatever works for a simple stud wall will certainly work for doubles as well. Generally window and door openings will have plywood connecting the 2 stud walls which is a thermal bridge that's essentially unavoidable. One question often debated is: Is there a thermal performance advantage to " staggered studs" over "aligned studs" ? I, and several others after much analysis conclude the advantage is negligible. Aligned framing is more straightforward, simpler and hence preferred. With double stud walls either can be structural. The structural wall will need shear bracing and headers above openings while the non structural wall can eliminate headers and possibly sheathing as well.