A method and system for reducing pulsation in a gas compressor system. A side branch absorber, which may be installed on the lateral piping of either the suction or discharge side of the cylinders, has a hyperbolic horn at the input end. The hyperbolic horn in series with an inlet reducer substantially increases the mass reactance of the resonator and substantially reduces the resonator frequency or the required cavity volume for a target resonator frequency. The horn is hyperbolic in the sense that it has a large diameter at the first end and tapers to a smaller diameter near the second end.