Engine Revving Problem when stationary on 3.8 Ford Engine

I have a 2004 Ford Mustang convertible with a 3.8 engine, manual transmission I am working on before putting it on the road. When the vehicle is at rest and I rev the engine it goes about 4000 rpm no problem then starts to stumble or engine shake unable to rev any higher. I was not sure if this is normal or not in this vehicle as it may have a rev limiter built in. Has anyone got any idea if this is normal or if it is an engine problem
Thank you
Thank you
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Answers
How's your maintenance been? Fuel filter?