I came here to link to the same page that @Rodrigo Sogari [Atlassian] did, but I will add a little bit more detail.
Those instructions describe how to do SSO for those applications that use the
atlassian-seraph library. JIRA and Confluence definitely use that library. I'm less familiar with Bamboo, but it appears to use
atlassian-seraph as well, so the instructions should be similar to those for Confluence, but with a different class names for the base authenticator (presumably BambooAuthenticator).
Stash definitely does *not* use atlassian-seraph; however, it provides its own plugin points for doing custom authentication, as described in this other answer: https://answers.atlassian.com/questions/11467425/how-can-i-integrate-sso-with-stash-application
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