<p>Many biological processes involve synchronization between non-identical systems, where differences arise only from minor parameter mismatches or variations in external stimuli. Maintaining synchronization under such conditions necessitates energy exchange between neurons. This study investigates an adaptive synchronization mechanism in neuron pairs, where field coupling strength is regulated by the energy difference between neurons, in addition to direct electrical coupling. We analyze the regulatory effect of energy feedback on synchronous dynamics. Our results show that neurons with identical properties but different initial conditions can achieve synchronization through self-regulation in the absence of coupling, unless they are in a chaotic state. Moreover, energy feedback mediated by field coupling can effectively induce synchronized behavior between heterogeneous neurons. These findings demonstrate that two fundamentally distinct systems can achieve synchronization by actively adjusting their firing patterns through an energy-mediated interaction. This reveals that synchronization is achieved not only by modulating connection strength but also via energy feedback, providing biological systems with robustness and flexibility in the face of internal variations and external disturbances.</p>