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In this paper,by the help of evolutionary algorithm and using Hindmarsh–Rose(HR)neuron model,we investigate the efect of topology structures on synchronization transition between diferent states in coupled neuron cells system.First,we build diferent coupling structure with N cells,and found the efect of synchronized transition contact not only closely with the topology of the system,but also with whether there exist the ring structures in the system.In particular,both the size and the number of rings have greater efects on such transition behavior.Secondly,we introduce synchronization error to qualitative analyze the efect of the topology structure.Furthermore,by fitting the simulation results,we find that with the increment of the neurons number,there always exist the optimization structures which have the minimum number of connecting edges in the coupling systems.Above results show that the topology structures have a very crucial role on synchronization transition in coupled neuron system.Biological system may gradually acquire such efcient topology structures through the long-term evolution,thus the systems’information process may be optimized by this scheme.
In this paper, by the help of evolutionary algorithm and using Hindmarsh-Rose (HR) neuron model, we investigate the efect of topology structures on synchronization transition between diferent states in coupled neuron cells system. First, we build diferent coupling structure with N cells , and found the efect of synchronized transition contact not only closely with the topology of the system, but also with whether there there the ring structures in the system.In particular, both the size and the number of rings have greater efects on such transition behavior .Secondly, we introduce synchronization error to qualitative analyze the efect of the topology structure.Furthermore, by fitting the simulation results, we find that with the increment of the neurons number, there always exists the optimization structures which have the minimum number of connecting edges in the coupling systems. Abbouts results that the topology structures have a very crucial role on synchronization transition in coupled neuron system.Biological system may gradually obtain such efcient topology structures through the long-term evolution, thus the systems’ information process may be optimized by this scheme.