Investigation Of Field Coupling Synchronization Between A Class Of Nonlinear Circuits

Nonlinear circuits can generate different oscillation modes in different parameter regions and are accompanied by energy transport.Voltage coupling based on resistor connection can effectively approach synchronization between chaotic circuits when the coupling channel between nonlinear circuits is activated,while consumption of Joule heat in the coupling resistor is inevitable during the realization of synchronization.On the other hand,time-varying electric and magnetic fields are established in the coupling channel when the capacitor and the inductor are used to couple nonlinear circuits,which can effectively regulate the synchronization process of the nonlinear circuits,and the energy of the coupled circuit is pumped and regulated without consuming of Joule heat.Therefore,it is of great scientific significance to study how to construct effective coupling channels between nonlinear circuits and neuron circuits and use field coupling to approach complete synchronization and phase synchronization of the system.The main research contents and results are as follows(1)The regulation of chaotic circuit synchronization by electric field coupling under capacitor connection is studied,based on chaotic Chua circuit.It is found that the electric field coupling based on the capacitor connection can adjust the synchronization stability between chaotic circuits.The mechanism is that the electric field and energy of the capacitor in the coupling channel change with the continuous charging and discharging of the capacitor plates,and then the energy of the two coupling circuits is pumped and regulated.Therefore,the synchronization is approached between the two nonlinear circuits.From physical view,the field energy pumping and exchange capabilities of the coupling channel can be changed by adjusting the coupling intensity.Related research can be further applied to control synchronization between neuron circuits and synchronization of neuron network.(2)The synchronization and phase synchronization of neurons under the electric field coupling are studied,based on the FitzHugh-Nagumo(FHN)neuron circuit driven by the voltage source.Signal transmission and information encoding in neurons to a large extent depends on the activation of synaptic functions.Each neuron can be regarded as an intelligent signal processor.The signal exchange and propagation can be effectively detect by building a reliable neuron circuit.So a two-variable FHN neuron circuit driven by a sinusoidal voltage source is used toinvestigate the synchronization stability.Complete synchronization can be reached when two identical neurons driven by the same stimulus,while phase synchronization is stabilized when neurons are driven by different stimuli as the coupling channel is switched on.Furthermore,the realization of complete synchronization is verified on the analog circuits.It provides another new idea for synchronization realization between neurons,and a new mechanism for signal encoding in neuron via field coupling is explained.(3)The hybrid synapses is designed and the synchronization is reached between neuronal circuits.Neuron synapses are plastic,and synapses are also the key to neuron information encoding(receiving and transmitting signals).Functional synapses designed from physical view is important for the adaptive function of cognitive neurons.So the combination of resistance and induction coil is used to design the hybrid synapse.It is found that the hybrid synapse constructed by induction coil and the resistor connected in series and parallel state has different effects on the synchronization regulation of neurons.Synchronization is easier to achieve in parallel connection,while induction coil have certain constraints on resistor coupling effect in series.The synchronization between the two neurons is suppressed when the coupling resistor is connected with inductor coil in series,while the two coupling channels can enhance synchronization when the coupling resistor connected with inductor coil in parallel.(4)The synchronization and adaptability realized by the saturation gain method.The exchange and coding of information between neurons can be realized by the modulation of synaptic current,and the adaptability of neurons can be reflect to a certain extent.The electrical activity between neurons shows a synchronization trend when synaptic current and coupling intensity is increased,and the triggered process of synaptic current can be regarded as the process of energy pumping.Based on the saturation gain method,the two variable FHN neuron circuit driven by voltage source is used to study the synchronization realization when the two neurons are connected by the hybrid synapses.That is,the coupling intensity value is increased according to a certain gradient until the synchronization is achieved between neurons.The changes and synchronic evolution of synaptic are calculated,and the physical mechanism of synaptic plasticity is explained.The relevant research results in this paper have certain reference values for the designing of functional neuron circuits and artificial intelligence networks,the performance optimization of functional electronic devices and the research of thecomputational neuroscience.