We investigate the dynamical response of the neuron system to a feeble external signal by using the Hindmarsh-Rose model, when the system is tuned below the first bifurcation point, which corresponds to the period-1 b...We investigate the dynamical response of the neuron system to a feeble external signal by using the Hindmarsh-Rose model, when the system is tuned below the first bifurcation point, which corresponds to the period-1 bursting state, and an external signal with a fixed period of about 170s is introduced to the system. It is found that to respond to the outside signal, the system changes from the period-1 state to a period-2 one with variation of the signal amplitude, indicating the occurrence of state-to-state transition （SST）. Moreover, when a signal with different fixed periods is introduced, we can also find a similar transition between other states. Furthermore, the effect of the frequency of the signal on the transition is also discussed. These results may imply that SST plays a constructive role in information processing in neuron systems.展开更多
Using the model of Hindmarsh Rose neurons, we study the synchronous behavior of the firing patterns in an uncoupled cell system. In this work, the membrane current Iext is selected as a controllable parameter, whose i...Using the model of Hindmarsh Rose neurons, we study the synchronous behavior of the firing patterns in an uncoupled cell system. In this work, the membrane current Iext is selected as a controllable parameter, whose initial values for all N cells are set to be near one of the bifurcation points randomly. It is found that the system will show un-synchronous state when the external stimuli is absent, otherwise, full synchrony will appear, even though without any coupling connection among these N neurons, indicating the occurrence of uncoupled synchrony. Moreover, similar behavior could also be observed when these neurons are set to be near other bifurcation points. The synchronous error is calculated for discussing this uncoupled synehrony behavior. Finally, we find that such synchrony may have some inherent relevance with the decrease of phase difference between different cells. Our results suggest that biological neuron systems may achieve an effective response to external feeble stimulus by the mode of uncoupled synchrony instead of only by the coupled scheme.展开更多
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 cel...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.展开更多
文摘We investigate the dynamical response of the neuron system to a feeble external signal by using the Hindmarsh-Rose model, when the system is tuned below the first bifurcation point, which corresponds to the period-1 bursting state, and an external signal with a fixed period of about 170s is introduced to the system. It is found that to respond to the outside signal, the system changes from the period-1 state to a period-2 one with variation of the signal amplitude, indicating the occurrence of state-to-state transition （SST）. Moreover, when a signal with different fixed periods is introduced, we can also find a similar transition between other states. Furthermore, the effect of the frequency of the signal on the transition is also discussed. These results may imply that SST plays a constructive role in information processing in neuron systems.
基金Supported by the National Natural Science Foundation of China under Grant No 11047017the Natural Science Funds of Anhui Province under Grant No 1508085MA15
文摘Using the model of Hindmarsh Rose neurons, we study the synchronous behavior of the firing patterns in an uncoupled cell system. In this work, the membrane current Iext is selected as a controllable parameter, whose initial values for all N cells are set to be near one of the bifurcation points randomly. It is found that the system will show un-synchronous state when the external stimuli is absent, otherwise, full synchrony will appear, even though without any coupling connection among these N neurons, indicating the occurrence of uncoupled synchrony. Moreover, similar behavior could also be observed when these neurons are set to be near other bifurcation points. The synchronous error is calculated for discussing this uncoupled synehrony behavior. Finally, we find that such synchrony may have some inherent relevance with the decrease of phase difference between different cells. Our results suggest that biological neuron systems may achieve an effective response to external feeble stimulus by the mode of uncoupled synchrony instead of only by the coupled scheme.
基金Supported by the National Natural Science,and Special Found for the Theoretical Physics of China under Grant Nos.11275186,21103002,11047017the Special Foundation of Education of Anhui Province for Excellent Young Scientists under Grant No.2011SQRL023
文摘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.
