Thousand thanks Tedster, and others. Your tips help me in my investigations.
For Google Suggest, I'm sure that there is a specific blacklist for terms (adult or obscenes terms). Furtermore, I'm quasi sure (but I don't know why because my blog name is very normal) that my blog has been blacklisted of Google Suggest, because there are many people in FR that type the name blog (popular site), and all alternative names that google suggest concern only the blog...
Than, I have maybe a last idea for the reason of the Yoyo-effect, but only you experts can say if it would be a main cause of my problems. I'm using an extern 'related posts' widget (can I say in the forum the name of the service which offer this tool for free ?). This widget manage related posts instead of me (better for charge servor), but when the visitor click on a related post, it's taking him on a redirection which lead him on the site of related post service, to finally reach the related post of my blog...
I have difficulties to explain the system in english because it's not my tongue, but I can say that in my related posts, there is a redirection to another site.
Note : this widget is a javascript code :
"script src = ***.com/widget.js"
And the URL is in this form (I've put *** instead of site name) :
widget.******.com/redirect?url=http%3A//******/&vars=%5B%22http%3A//******/%22%2C%2070491%2C%200%2C%20%22http%3A//******/%22%2C%20null%2C%200%2C%2017331403%5D&ts=126... I've just deactivate it. Should I ?