6533b85cfe1ef96bd12bd027

RESEARCH PRODUCT

Control of the One Dimensional Map Dynamics of the Cardiac Action Potential Duration

Mounira KesmiaSouraya BoughabaSabir Jacquir

subject

[ MATH.MATH-CA ] Mathematics [math]/Classical Analysis and ODEs [math.CA][MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS][ MATH.MATH-DS ] Mathematics [math]/Dynamical Systems [math.DS][MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS][MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA][MATH.MATH-CA] Mathematics [math]/Classical Analysis and ODEs [math.CA]

description

International audience; The aim of this work is to investigate the control of the chaos in the one dimensional map which modelizes the duration of the current cardiac action potential (APD) as a function of the previous one. Using OGY control method, we obtain very satisfactory numerical results to stabilize the irregular heart rhythm into the normal rhythm.

https://hal-univ-bourgogne.archives-ouvertes.fr/hal-01205618