A new fractional-order discrete BVP oscillator model with coexisting chaos and hyperchaos

In this work, the nonlinear conductance of the Bonhoeffer–van der Pol (BVP) model is replaced with an odd function that multiplies sine and cosine, and a novel discrete map with both chaos and hyperchaos is proposed. Fractional calculus is applied to this model to explore its complex dynamics. We focused on the different properties from the previous work, which manifested as the coexistence of various attractors in certain specific parameters,...