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Investigation stability of Rikitake system

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Abstract (Original Language): 
The Rikitake dynamical system is a model which attempts to explain the irregular polarity switching of the geomagnetic field. The system exhibits Lorenz-type chaos and orbiting around two unstable fixed points. The study showed that the system is experiencing a chaotic behavior at certain value of the control parameter. We investigated stability of this system by changing resistance of wires. When the wire resistance to change, will change value of a –that is one mainly parameter of stability- we hold constant other values to find the best conditions of stability. After per change of a, numerical simulations to illustrate the effect of a, are presented and at the end conclusions and comparing the states together are obtained.
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REFERENCES

References: 

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