In recent years,fractional-order chaotic maps have been paid more attention in publications because of the memory effect.This paper presents a novel variable-order fractional sine map(VFSM)based on the discrete fracti...In recent years,fractional-order chaotic maps have been paid more attention in publications because of the memory effect.This paper presents a novel variable-order fractional sine map(VFSM)based on the discrete fractional calculus.Specially,the order is defined as an iterative function that incorporates the current state of the system.By analyzing phase diagrams,time sequences,bifurcations,Lyapunov exponents and fuzzy entropy complexity,the dynamics of the proposed map are investigated comparing with the constant-order fractional sine map.The results reveal that the variable order has a good effect on improving the chaotic performance,and it enlarges the range of available parameter values as well as reduces non-chaotic windows.Multiple coexisting attractors also enrich the dynamics of VFSM and prove its sensitivity to initial values.Moreover,the sequence generated by the proposed map passes the statistical test for pseudorandom number and shows strong robustness to parameter estimation,which proves the potential applications in the field of information security.展开更多
When a phototube is activated to connect a neural circuit,the output voltage becomes sensitive to external illumination because the photocurrent across the phototube can be controlled by external electromagnetic wave....When a phototube is activated to connect a neural circuit,the output voltage becomes sensitive to external illumination because the photocurrent across the phototube can be controlled by external electromagnetic wave.The channel currents from different branch circuits have different impacts on the outputs voltage of the neural circuit.In this paper,a phototube is incorporated into different branch circuits in a simple neural circuit,and then a light-controlled neuron is obtained for further nonlinear analysis.Indeed,the phototube is considered as exciting source when it is activated by external illumination,and two kinds of light-sensitive neurons are obtained when the phototube is connected to capacitor or induction coil,respectively.Electric synapse coupling is applied to detect possible synchronization between two functional neurons,and the energy consumption along the coupling channel via resistor is estimated.The analog circuits for the two kinds of lightsensitive neurons are supplied for further confirmation by using Multisim.It is found that two light-sensitive neurons and neural circuits can be synchronized by taming the coupling intensity carefully.It provides possible clues to understand the synchronization mechanism for eyes and artificial sensors which are sensitive to illumination.Finally,a section for open problems is supplied for further investigation about its collective behaviors in the network with/without synapse coupling.展开更多
基金Project supported by the National Natural Science Foundation of China(Grant Nos.62071496,61901530,and 62061008)the Natural Science Foundation of Hunan Province of China(Grant No.2020JJ5767).
文摘In recent years,fractional-order chaotic maps have been paid more attention in publications because of the memory effect.This paper presents a novel variable-order fractional sine map(VFSM)based on the discrete fractional calculus.Specially,the order is defined as an iterative function that incorporates the current state of the system.By analyzing phase diagrams,time sequences,bifurcations,Lyapunov exponents and fuzzy entropy complexity,the dynamics of the proposed map are investigated comparing with the constant-order fractional sine map.The results reveal that the variable order has a good effect on improving the chaotic performance,and it enlarges the range of available parameter values as well as reduces non-chaotic windows.Multiple coexisting attractors also enrich the dynamics of VFSM and prove its sensitivity to initial values.Moreover,the sequence generated by the proposed map passes the statistical test for pseudorandom number and shows strong robustness to parameter estimation,which proves the potential applications in the field of information security.
基金Project supported by the National Natural Science Foundation of China(Grant No.12062009)。
文摘When a phototube is activated to connect a neural circuit,the output voltage becomes sensitive to external illumination because the photocurrent across the phototube can be controlled by external electromagnetic wave.The channel currents from different branch circuits have different impacts on the outputs voltage of the neural circuit.In this paper,a phototube is incorporated into different branch circuits in a simple neural circuit,and then a light-controlled neuron is obtained for further nonlinear analysis.Indeed,the phototube is considered as exciting source when it is activated by external illumination,and two kinds of light-sensitive neurons are obtained when the phototube is connected to capacitor or induction coil,respectively.Electric synapse coupling is applied to detect possible synchronization between two functional neurons,and the energy consumption along the coupling channel via resistor is estimated.The analog circuits for the two kinds of lightsensitive neurons are supplied for further confirmation by using Multisim.It is found that two light-sensitive neurons and neural circuits can be synchronized by taming the coupling intensity carefully.It provides possible clues to understand the synchronization mechanism for eyes and artificial sensors which are sensitive to illumination.Finally,a section for open problems is supplied for further investigation about its collective behaviors in the network with/without synapse coupling.
