In this talk, we introduce an approach to explore the synchronization of coupled reaction-diffusion systems. We first demonstrate this approach by establishing the global synchronization of coupled neural networks with reaction-diffusion terms. Based on the proposed iterative approach, the problem of global synchronization is transformed into solving the corresponding homogeneous linear system of algebraic equations. The synchronization criterion is subsequently derived and can be verified with simple computations. Lastly, we introduce the expansion of this approach to address the approximate synchronization in coupled reaction-diffusion systems with parameter mismatches.

 

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