hello 
i had a similar problem ie cutting out when slowing down changing gear etc
in desperation and costing about a tenner  
i put some comma fuel treatment in the fuel tank
then i sprayed some wd40 on the control box part of the accelertor pedal
then i removed the air filter and the black housing behind it you will need a torx screwdriver and a socket
i then put my finger in and gently pushed the butterfly valve open and sprayed a good amount of carb cleaner in 
i them put it back together 
then there is a tube that pushes in to the top of the carb i unclipped it and sprayed a good amount of cleaner in the tube and in the hole 
plugged it back in and started the car 
the engine turns over a few time then fires up 
problem solved 
hope it helps you
                
 paul botham
                
 December 2008