Hamiltonian MIMO Synchronization by using up-sampling
Abstract
This article presents a methodology to perform a simultaneous synchronization with 10 different oscillators, five of them are in 3D and the other five in 4D, using the same slave oscillator. The synchronization is achieved by sampling each of the 10 oscillators, which reduces the quality of the master oscillators, however, the correlation results showed that the similarity is maintained at all times above 99% for all the ten oscillators. The observer system is made up of a generalized system of equations that allows reconfiguring its waveforms to mimic multiple chaotic oscillators. Finally, a didactic system was designed to manipulate the parameters of the oscillators to be synchronized, as well as the synchronization gains and initial conditions. The system of equations presented in this article allows simulating the chaotic oscillators of Lorenz, Chen, Liu, Rossler, four wings, two wings, among others.
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References
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