>5v supply so 6v battery OK as long as it has minimal droop across
>discharge cycle.
>Peak current maybe 400 mA for milliseconds and 250 mA for seconds.
>150 - 200 mA for minutes.
>Used for up to 5 minutes then it is either charged for 5 to 30 minutes
>(possibly more) or discharged at under 200 microamps.
>200 uA discharge may continue for up to a year. (1.75 AH of delivered
>capacity).
>
>Sound inexplicable?
>It's exercise equipment.
>It powers down in under 5 minutes of non use.
>User action provides charging energy.
>It can be woken up from standby by operation or a button press.

Don't know about charging circuits, but assume you have the load sorted, as
you are not asking about that. However if you haven't, look at the Linear
Technology LT1616, LT1676, LT1776 and some others that you find as "related
chips" regulators as they have a shut down pin, which I suspect would do
your shutdown/power up function.

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