A system for a vehicle includes a triggering module and a cylinder control module. The triggering module generates a trigger when a catalyst temperature is greater than a predetermined temperature. In response to the generation of the trigger, the cylinder control module: disables opening of an exhaust valve of a cylinder for an exhaust phase of a first combustion cycle of the cylinder; disables opening of the exhaust valve for N combustion cycles of the cylinder that follow the first combustion cycle; and enables opening of the exhaust valve for a second combustion cycle that follows the N combustion cycles. N is an integer greater than zero.