Geometric Syncronisation by Multi-pendulum and Electronic Models of Neurodynamics

Abstract

Neurons as active unities are connected one with the others by synapses in an electronic way. Each neuron as N port electronic medium scatters input waves and transmits output waves to other neurons. By voltage waves each neuron interacts with the others in a complex way. Scattering processes create dependence among neurons. We show that a multi pendulum mechanical system can be a simple model to represent complex dependence among neurons. With the multi pendulum synchronization we show that a suitable geometry and geodesic dynamic can be found. We know that neuron network is an electronic network for which power is a metric (electronic distance ) in the space of the currents or in the space of the voltages. The power of electronic system is given by the impedance matrix or by admittance matrix that model the type of electronic geometry and entanglement. In conclusion multi pendulum , quantum entanglement and electronic system are useful models to show in a geometric way how neural dynamic can be controlled by conceptual reference transformation ( geometry change ) and why synchronic processes are possible in the neural network dynamics.