"Cyclonic activity" refers to weather patterns that have a circular motion, like a spinning cyclone or hurricane. It often involves strong winds, heavy rainfall, and sometimes thunderstorms. Full definition
Production was five million tonnes above shipments as ports in Western Australia were closed during cyclonic activity. (politics.co.uk)
There is also precipitation, wind patterns (in some models you an even make out cyclonic activity just at the limit of resolution) and so on. (realclimate.org)
I am not a modeler but if I understand their projections in this area, within the next 30 - 50 years the models show general cyclonic activity slowly moving north & east with tracks tending towards Spitzbergen. (realclimate.org)