Active Regions and Solar Cycles: Topologically Explored

Solar magnetic activity is the driver of space weather, and herewith of great importance to be able to predict. However, before being able to make predictions, we need to know the present state (on short and long- terms) and to define it as precisely as possible. We believe topological methods can contribute to that. We will discuss the state of solar magnetic active regions and that of the solar magnetic cycle in terms of topology. We study null points of solar vector magnetic fields. This allow us to study the state of active regions and the relation to CMEs and solar flares. We study the flow with Poincare maps and show that the flow has an attractor. This allow us to study the variations of the periods of quasiperiodic orbits and variations of solar magnetic cycles. These precise topological descriptions of the states will then be presented to neural networks, aimed at making predictions. An outline will be presented.