Chaos and Chaos Synchronism of the Rikitake Two-Disk Dynamo

In this paper, the Rikitake two-disk dynamo, which describes the current of two coupled dynamo disks, is a mathematical model used to explain the reversals of the Earth's magnetic field. The numerical simulation, circuit realization and theoretical analysis about the Rikitake two-disk dynamo are studied in detail. Dynamical behaviors of the Rikitake system are analyzed, including some basic dynamical properties. The chaotic attractors are discussed with some sufficient big or small positive initial conditions, as the result, they all are attracted into the finite phase spaces as time going congruously. The chaos synchronism of the system is achieved by the coupling synchronism method. The chaotic behavior of the system can be used simulate the reversals of the geomagnetic field, so the research of the Rikitake system is important and insightful to geophysicists.