Problems when i use tabs for display Views together exposed filters.

I am trying to create a result page using views which provides multiple types of displays.

In the first view, I set the path to 'tabs/tab1'. I set it to be the 'default menu tab', I set the title to 'Tab 1' and the weight to 0. I set it 'Normal menu item'.
On the second view, I set the path to 'tabs/tab2'. I set it to be a 'Menu tab', and I set the title to 'Tab 2'.
Now, I have two pages with different filters and format. The first (default) has exposed filters in a block.

When I do a search, the exposed filters work fine, but when I change the tab (click Tab 2), the filters are not applied. In other words, when I click Tab 2 and then i return on default tab (Tab 1) the filters are reset. Why ? Is it a bug ?

I would retain filtered values. Is this possible? if yes, how?

Thanks in advance.