Theoretical investigation of an array of Josephson junction neuron circuits actuating a mechanical leg and the array in mimicking a multi-legged locomotion

This study aims at the analytical and numerical investigations of Josephson junction (JJ) neuron circuits actuating a mechanical arm and the array. The rate equations for the proposed electromechanical system are established. Numerical simulations of the electromechanical system resulted in a well-defined action potential (AP) and subsequently the actuation of the leg attached to the mechanical arm in an excitable state. Furthermore, the impact of the magnetic field and the effect of mass are as follows: an increase in the magnetic field accelerates the motion of the legs and the amplitude of the displacement decreases with an increase in the mass, and the displacement takes the form of a constant wave for some particular masses as underlined by numerical simulations. A bio-inspired electromechanical system for the locomotion of millipedes and centipedes is proposed and the model failed to propagate the signal in an array of legs since each JJ neuron circuit produces its signal at the same time, because the stimulation is not well-defined by this model of the JJ neuron circuit, despite the advantages of the JJ neuron circuits. (author)