Synchronization of complex networks of fractional order nonlinear systems

J. León, A. F. Lugo-Peñaloza, G. Fernández‐Anaya, R. Martínez-Martínez
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Abstract

In this work we obtain analytical results for two different kinds of synchronization. This is obtained by means of the analysis of the fractional non-linear error equation, therefore the couplings inside the complex network do not eliminate the non-linearities of the systems, contrary to what is usual in literature. As an application, we present the synchronization with different kinds of fractional differential systems. We use some numerical results to verify the effectiveness of the proposed method.
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分数阶非线性系统复杂网络的同步
在本工作中,我们得到了两种不同同步方式的分析结果。这是通过分析分数阶非线性误差方程得到的,因此复杂网络内部的耦合并不能消除系统的非线性,这与文献中通常的观点相反。作为应用,我们给出了不同类型分数阶微分系统的同步。最后用数值结果验证了所提方法的有效性。
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