1) Launch the JDK demo/jfc/Notepad demo.
2) Choose the input method by pressing ctrl space.
3) Now type something like abc and then composer window appears.
5) Notice the gylphs in the composer window.
6) Now launch the demo again in another dos window.
7) repeat 2 and 3
8) Now notice the composer window contains the gylph that was from the composer window from the first Notepad.

The context is shared and it should not be. Tested using 1.6 b73.