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Zbl 1152.37317
Mahmoud, Gamal M.; Aly, Shaban A.; Farghaly, Ahmed A.
On chaos synchronization of a complex two coupled dynamos system.
(English)
[J] Chaos Solitons Fractals 33, No. 1, 178-187 (2007). ISSN 0960-0779

Summary: The main objective of this work is to investigate the chaotic behavior and chaos synchronization of a complex two coupled dynamos system subject to different initial conditions. This system exhibits a chaotic attractor which is found numerically. The global synchronization and active control techniques are used in this investigation. The feedback gain matrix and Lyapunov function are calculated and used to show that the linear error dynamical system is asymptotically stable. The analytical results are tested numerically and excellent agreement is found.
MSC 2000:
*37D45 Strange attractors, chaotic dynamics
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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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