On the Horton-weigel-sprott model of the solar-wind-driven magnetosphere-ionosphere system

The solar-wind-driven magnetosphere-ionosphere is a system that exhibits a variety of dynamical states. These include low-level steady plasma convection, intermittent releases of stored plasma energy into the ionosphere that are known as sub-storms, and states of continuous strong unloading. The WINDMI model consisting of a set of six nonlinear coupled ordinary differential equations has been used to describe the energy flow through this system. This model has recently been reduced to a set of three nonlinear coupled ordinary differential equations that has been shown to admit chaotic solutions. The present calculation demonstrates that it is possible to synchronize this reduced nonlinear system with another system that may even be linear.