I am sorry I wrote several almost identical messages about maps not working with tabs extension. I did not read the label the topic has to be approved by you! Sorry!
The problem should be because of I set the width of the map in "%" units. When the tab is not activated it's style property is set to "display:none;". It looks like the script has problems determinate it's width in this state.
The solution of my problem lies with the setting "width of the map". When I changed it from "%" to "px" the map show in full size with track info working normally.
There is still a problem that I would like to keep the map as responsive as possible and thus suitable for various display sizes. Any help here would be really appreciated!