Oracle Recovery

The REDO logs should be copied.

Shutdown doesn't trigger a logfile switch.

If you are changing the paths for the files, then using the "create controlfile reuse noresetlogs" method is the best. If you do move it without REDO logs, then archivelog current and then use the "create controlfile set resetlogs" method. In general though, moving the redo logs are best.

--EDIT--

Based on what you said, you are mounting these in the exact same path, then do your self a favor and just put all of the files, DATAFILES TEMPFILES CONTROLFILES REDOLOGS, etc in the exact same file path. Nothing else to do and it comes up fine.

-Richard

You don't want them to be running with the same parameters in the first place. Very likely that you want to enable the 11g features. Things that you might want to make sure to be at least equal size are the memory footprint, temp tablespaces and undo tablespaces.

In Oracle 11g you might be tempted to use Autmatic Memory Management. There are some issues with it so it might be smarter to configure your shared pool and database buffer according to the 10g database. In the run check if you are not over or undersized.

Best is to hire a dba to help you with the setup, next best is to dive into Oracle® Database 2 Day DBA 11g Release 2 (11.2) There is a lot to learn from.