Offset boosting-based attractor doubling of Rulkov neuron

The polarity adjustment of the neuronal signals plays an important role in neuron dynamics. In this work, attractor doubling is obtained through offset boosting to regulate the distance between two coexisting neuron attractors. Chaotic firings in the Rulkov neuron with flexibly-controlled average are obtained reshaping the associated phase orbits and patterns. The design of the absolute value function with proper constant provides a new method for attractor doubling with regulatable distances. This approach brings more controllability from the parameter or the initial conditions. Strikingly, the amplitude and frequency of firings can be effectively modified by the offset booster when it exceeds a certain threshold. Finally, circuit implementation based on the CH32 platform was given, which verifies the theory prediction and numerical simulations.