Why is there wind in cyclones and no wind in anticyclones?

Simply put, the airflow of a cyclone is convergent, and when the airflow converges to the center, the wind comes out.

The airflow of anticyclone is divergent, and the airflow leaks around, so there is no wind.

In terms of complexity, the air pressure in the cyclone center is low, the airflow gathers from the surrounding high pressure to the low pressure center, and the wind points from high pressure to low pressure. So cyclones are windy.

However, the air pressure in the anticyclone center is high and the air pressure around it is low. The air pressure points from high pressure to low pressure and spreads from the center to all directions, so there is no wind.