Internal combustion, dedicated exhaust gas recirculation engine

A method of operating an engine, comprising:

• inducting fuel, intake air and recirculated exhaust gas, which provides a first mixture, into a first combustion cylinder;
• combusting said first mixture in said combustion cylinder wherein combustion generates a first exhaust gas that applies pressure to a piston within said combustion cylinder;
• reciprocating said piston, wherein said piston is coupled to a primary crankshaft, and rotating said primary crankshaft;
• exhausting said first exhaust gas;
• inducting fuel and intake air, which provides a second mixture, into a rotary combustion chamber, wherein said rotary combustion chamber is formed by a rotor in a rotor housing;
• combusting said second mixture in said rotary combustion chamber, wherein said combustion generates a recirculated exhaust gas that applies pressure to said rotor;
• rotating said rotor, which is coupled to a secondary crankshaft, and rotating said secondary crankshaft, wherein said secondary crankshaft is coupled to said primary crankshaft by a gear mechanism;
• exhausting said recirculated exhaust gas into an exhaust gas recirculation loop;
• and
• recirculating said recirculated exhaust gas.