_CGXGLDisplayContextForDisplayDevice logs should not be related to the issue you reported. These are WindowServer warnings in disabling OpenGL since it's not supported.
With crashing, do you mean kernel panics? In case, could you please upload the panic logs. You should see Kernel_xx.panic logs in/Library/Logs/DiagnosticReports/.
Any other crash log in that folder generated right before or after the machine crash/hang.
Could you also please use the debug tool (
http://www.displaylink.com/support/ticket.php?id=269) and collect the DisplayLink logs?.
Have you ever used the 2.1 driver with 10.9.2 and experienced a similar problem? In case you've never used it, could you please use it and check if it show the same problem.
Many thanks