Adaptive Synchronization of Fractional-Order Coupled Neurons Under Electromagnetic Radiation

摘要

In this paper, we investigate the dynamical characteristics of four-variable fractional-order Hindmarsh-Rose neuronal model under electromagnetic radiation. The numerical results show that the improved model exhibits more complex dynamical behavior with more bifurcation parameters. Meanwhile, based on the fractional-order Lyapunov stability theory, we propose two adaptive control methods with a single controller to realize chaotic synchronization between two coupled neurons. Finally, numerical simulations show the feasibility and effectiveness of the presented method.