There was a bug last month with the exact same title. Found it again: https://bugs.launchpad.net/ubuntu/+source/filezilla/+bug/738430
Description:
Binary package hint: filezilla
The CPU usage is very high (50% on a Quad Core CPU)
and it leaks memory by time (700MB after 1 day of running).
Is related to this: https://bugs.launchpad.net/ubuntu/+source/wxwidgets2.8/+bug/722375
High CPU usage of wxWidget apps caused by dbusmenu
If that is your problem too then these these posts are noteworthy:
https://bugs.launchpad.net/ubuntu/+source/wxwidgets2.8/+bug/722375/comments/9
https://bugs.launchpad.net/ubuntu/+source/wxwidgets2.8/+bug/722375/comments/19
And looking at all the different links I even end up at the program and line that seems to be the culprit: http://svn.wxwidgets.org/viewvc/wx/wxWidgets/branches/WX_2_8_BRANCH/src/gtk/frame.cpp?r1=66344&r2=67149
I might be totally wrong though :+