What could be causing a 2005 grand prix with 14000 kms to have ticking sound that does not increase with RPMs it seems worse when engine is warm and poor performance especially at low speeds and RPMs?
VALVE LIFTERS... the fact that the ticking does not increase with rpms rules out valve tapping or worn piston pin but is indicative of the bearings going bad in the water pump which also would explain the loss of performance.
Try to locate the ticking noise. Is it the engine? Is it ticking when you are driving? When you are sitting still? It could be as simple as a stone stuck in yoru tire, everytime it hits the road it ticks. it could be a lifter in the engine. Try to be more specific as to where and when the ticking happens.
A normal ticking is the fuel injectors opening and closing, a very loud ticking with bad mileage and poor performance may be a sticky lifter, aka hydraulic valve lash adjuster. If the latter try something like Marvel's Mystery Oil or another sticky lifter nostrum before launching into a difficuly and expensive replacement.
If the vibration is accompanied by a ticking noise, I would suspect the timing chain primary and secondary tensioners. They are known to fail, especially in vehicles where oil changes were neglected causing engine sludge. These engines are very sensitive to sludge. If no ticking or codes are present, check the basics like the throttle body, coils/ connectors, spark plugs, etc. Check vacuum lines and PCV as well. Hope this helps.