There are different ways that the specific control circuitry could be arranged, but you might like to browse through some of these links (scroll down a little from the top of the strobe section) for some ideas:

http://www.epanorama.net/links/lights.html#strobe

Here's one specific link which gives an outline of how capacitors and chokes can be employed in flash/strobe circuitry:

http://utopia.cord.org/cm/leot/course04_mod04/mod04_04.htm