The activities of different neurons are quite different.The memristive electromagnetic induction effect has been widely studied in homogeneous neurons,but there is a lack of research of it in heterogeneous neurons.In in this study,firstly,based on Cauchy distribution function and hyperbolic tangent function,a new ideal flux-controlled memristor is proposed,and its circuit implementation is realized.The new ideal flux-controlled memristor is introduced into a two-dimensional Hindmarsh-Rose(HR)neuron and a two-dimensional FitzHugh-Nagumo(FHN)neuron to construct a five-dimensional memristor-coupled heterogeneous neuron chaotic system with memristive electromagnetic induction effect.Secondly,the dynamic behaviors of the chaotic system are analyzed,including phase diagram,Poincaré map,bifurcation diagram,Lyapunov exponents.Finally,the circuit implementation of the chaotic attractors of the chaotic system are designed with Multisim to verify the correctness of the numerical simulation.The results show that the five-dimensional memristor-coupled heterogeneous neuron chaotic system can exhibit rich nonlinear dynamic behaviors such as tangent bifurcation,period and chaos.