A novel no-equilibrium HR neuron model with hidden homogeneous extreme multistability

In this paper, a novel no-equilibrium Hindmarsh-Rose (HR) neuron model with memristive electromagnetic induction is proposed. This memristive HR neuron model exhibits complex memristor initial offset boosting dynamics, from which infinitely many coexisting hidden attractors sharing the same shape but with different positions can be generated, therefore breeding the interesting phenomenon of hidden homogeneous extreme multistability. The complicated dynamical behaviors are detailedly investigated via bifurcation diagrams, Lyapunov exponents, time series, attraction basins and spectral entropy (SE) complexity. Moreover, PSIM circuit simulations and DSP hardware experiments are carried out to demonstrate the theoretical analyses and numerical simulations. Finally, a pseudorandom number generator is also designed by using the memristor initial-controlled chaotic sequences extracted from the memristive HR neuron model. The performance analysis results show that these chaotic sequences can yield pseudorandom numbers with excellent randomness, which are more suitable for chaos-based engineering applications. (c) 2021 Elsevier Ltd. All rights reserved.

Automated summary

A novel HR neuron model with memristive electromagnetic induction is proposed in this paper, exhibiting complex dynamics and generating hidden attractors and multistability phenomenon. The detailed investigation includes bifurcation diagrams, Lyapunov exponents, time series, attraction basins, and SE complexity. Circuit simulations and hardware experiments are conducted to demonstrate the theoretical analyses, and a pseudorandom number generator is designed using chaotic sequences from the memristive HR neuron model.