This is the same as an older resolved issue, it seems to have reappeared https://github.com/ProLoser/AnythingSlider/issues/1

Issue: If a slider is in focus and the tab key is pressed (tested in ff and chrome) the slider jumps around until it eventually breaks. I also have a slider within a slider (slideception!) and when the inner slider is focused and tab is pressed, really weird things start happening.

Sidenote:
Tabbing issue only appears in Chrome after it's pressed several times. Using tab key in Firefox works once the slider is active.