Is there a way to update dynamic panel of different page?

There is a text “To DO” on PAGE1 and button that triggers opening of PAGE2 in new tab (so while PAGE2 is in active state, PAGE1 is also opened but inactive).
After I have finished with work on PAGE2, i click button and trigger CLOSE WINDOW (PAGE2 tab). PAGE2 now is closed and PAGE1 is active again.
I need text “TO DO” now been auto changed to “DONE”. Is there a way to do it.
So basically i need to inform existing inactive page to do something with event on different Active page.