Consensus and synchronous firing in neural activities are relative to the physical properties of synaptic connections. For coupled neural circuits, the physical properties of coupling channels control the synchronization stability, and transient period for keeping energy diversity. Linear variable coupling results from voltage coupling via linear resistor by consuming certain Joule heat, and electric synapse coupling between neurons derives from gap junction connection under special electrophysiological condition. In this work, a voltage-controlled electric component with quadratic relation in the i–v (current–voltage) is used to connect two neural circuits composed of two variables. The energy function obtained by using Helmholtz theorem is consistent with the Hamilton energy function converted from the field energy in the neural circuit. Chaotic signals are encoded to approach a mixed signal within certain frequency band, and then its amplitude is adjusted to excite the neuron for detecting possible occurrence of nonlinear resonance. External stimuli are changed to trigger different firing modes, and nonlinear coupling activates changeable coupling intensity. It is confirmed that nonlinear coupling behaves functional regulation as hybrid synapse, and the synchronization transition between neurons can be controlled for reaching possible energy balance. The nonlinear coupling is helpful to keep energy diversity and prevent synchronous bursting because positive and negative feedback is switched with time. As a result, complete synchronization is suppressed and phase lock is controlled between neurons with energy diversity.

神经活动中的共识和同步放电与突触连接的物理特性有关。对于耦合神经电路，耦合通道的物理特性控制同步稳定性和保持能量多样性的瞬态周期。线性变量耦合是消耗一定焦耳热通过线性电阻进行电压耦合而产生的，神经元之间的电突触耦合是在特殊电生理条件下的间隙连接产生的。在这项工作中，使用i – v （电流 – 电压）具有二次关系的压控电子元件来连接两个由两个变量组成的神经电路。利用亥姆霍兹定理得到的能量函数与神经回路中场能转换的哈密顿能量函数一致。将混沌信号编码为接近一定频带内的混合信号，然后调整其幅度以激励神经元以检测可能发生的非线性谐振。改变外部刺激可触发不同的发射模式，非线性耦合激活可变的耦合强度。证实非线性耦合像混合突触一样进行功能调节，可以控制神经元之间的同步转换以达到可能的能量平衡。由于正反馈和负反馈随时间切换，非线性耦合有助于保持能量多样性并防止同步突发。结果，具有能量多样性的神经元之间的完全同步被抑制并且锁相被控制。