Study of earth’s changing polarity using compound difference synchronization

Abstract

Earth's polarity reversals have geophysical significance, effecting the life on the planet. Geophysical methods provide images of mantle structure and crust, gravity, seismic waves in order to study what's going on in the core. However, looking at the problem mathematically, we can get some insight into it. One possible way is to use the numerical modeling technique. Much advances have been made to model the dynamo process numerically. The Rikitake model (scaling drive system) is known to have a number of geo-magnetic properties resembling that of earth's. Utilizing this resemblance the synchronization technique (compound difference synchronization) is used to study the compound effect of the weather models (base drive systems) on the constructed Rikitake two dynamo model (slave system). The synchronization method would help to observe the changing dynamics in the constructed set up by locking the dynamics under the effect of the magnetic field and weather systems into the constructed Rikitake system (slave system). The numerical simulations have been performed in MATLAB.

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Dual Penta-Compound Combination Anti-Synchronization with Analysis and Application to a Novel Fractional Chaotic System

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