Feedback Control for Attractor Dynamics in the Epileptor Model


Borisenok S.

5th International Online Conference on Mathematics "An Istanbul Meeting for World Mathematicians", İstanbul, Turkey, 1 - 03 December 2021, pp.371-377

  • Publication Type: Conference Paper / Full Text
  • City: İstanbul
  • Country: Turkey
  • Page Numbers: pp.371-377

Abstract

The variety of dynamic mechanisms leading to epileptic behavior in the human brain demands the development of different theoretical approaches to the modeling of this disease. The Epileptor is a generic phenomenological model recently developed to describe fast-slow limit cycles in the dynamics of seizures. To make the control over the co-existing attractors in the Epileptor model we propose here the algorithm based on Kolesnikov’s “synergetic” target attractor feedback. We investigate the pros and cons of our approach to compare with other methods and discuss the perspectives of the further development of the control algorithm for modeling the real epileptic processes in vivo.

Keywords: Epileptor, nonlinear feedback, dynamical attractors.