An engine includes an engine casing and a first piston configured to reciprocate relative to the engine casing. The first piston has a wall that defines a substantially cylindrical chamber. One or more second pistons are configured to reciprocate inside the substantially cylindrical chamber. A combustion chamber intake port and a combustion chamber exhaust port extend through the wall. A shutter is outside the wall and is movable between a first position substantially blocking fluid flow through the combustion chamber exhaust port but not blocking fluid flow through the combustion chamber intake port and a second position substantially blocking fluid flow through the combustion chamber intake port but not blocking flow through the combustion chamber exhaust port. An actuator causes the shutter to move between the first position and the second position in response to the first piston reciprocating relative to the engine casing.