Controlled Hodgkin – Huxley Neuron vs Controlled Qubit: Pros and Cons of Their Applications


Borısenok S.

4th International Conference on Mathematics "An Istanbul Meeting for World Mathematicians" ICOM 2020, 27 - 30 October 2020, pp.212-217

  • Publication Type: Conference Paper / Full Text
  • Page Numbers: pp.212-217

Abstract

Nonlinear multidimensional dynamical systems presented in the form of ordinary differential equations with free control parameters cover the variety of regular and chaotic regimes and can be used for computational purposes and data analysis. To demonstrate the chaotic regime, for instance, the dimension of the phase space for the deterministic system should be at least 3. Here we compare two multidimensional systems: 4-dimensional Hodgkin-Huxley neuron and 3-dimensional quantum bit (in its real ODE representation) in the external field. Both systems can be driven via the free parameters towards the necessary dynamical state (stabilization or tracking goal). Both systems could be used for the realization of complex computational algorithms. We compare the efficiency of qubit mathematical model with the classical model of mathematical neuron to analyze pros and cons of both systems to be applied for the computational purposes.