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Experimental investigation of partial synchronization in coupled chaotic oscillators
Authors:Heisler Ismael A  Braun Thomas  Zhang Ying  Hu Gang  Cerdeira Hilda A
Institution:Instituto de Física, Universidade Federal do Rio Grande do Sul, Caixa Postal 15051, 91501-970 Porto Alegre, RS, Brazil.
Abstract:The dynamical behavior of a ring of six diffusively coupled R?ssler circuits, with different coupling schemes, is experimentally and numerically investigated using the coupling strength as a control parameter. The ring shows partial synchronization and all the five patterns predicted analyzing the symmetries of the ring are obtained experimentally. To compare with the experiment, the ring has been integrated numerically and the results are in good qualitative agreement with the experimental ones. The results are analyzed through the graphs generated plotting the y variable of the ith circuit versus the variable y of the jth circuit. As an auxiliary tool to identify numerically the behavior of the oscillators, the three largest Lyapunov exponents of the ring are obtained.
Keywords:
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