When you log a user out you’re effectively disconnecting/destroying their session.
A new anonymous session will get created afterwards for the user which redirects them to the anonymous user homepage.
With the original session being destroys, any show page actions get left behind.
Hope this helps.
You can try showing a page with a script after the log out java action. Show a pop up page with the html snippet and use javascript to reload the browser. This should redirect the user to the app as if they just navigated to it in the browser.
thanks I succeed to do what I want with the default home page in the navigation