Chaos control applied to heart rhythm dynamics

• Published in: Chaos, solitons and fractals solitons and fractals, 2011-08, Vol.44 (8), p.587-599
• Main Authors: Ferreira, Bianca Borem, de Paula, Aline Souza, Savi, Marcelo Amorim
• Format: Article
• Language: English
• ISSN: 0960-0779; 1873-2887
• DOI: 10.1016/j.chaos.2011.05.009

► A natural cardiac pacemaker is modeled by a modified Van der Pol oscillator. ► Responses related to normal and chaotic, pathological functioning of the heart are investigated. ► Chaos control methods are applied to avoid pathological behaviors of heart dynamics. ► Different approaches are treated: stabilization of unstable periodic orbits and chaos suppression. The dynamics of cardiovascular rhythms have been widely studied due to the key aspects of the heart in the physiology of living beings. Cardiac rhythms can be either periodic or chaotic, being respectively related to normal and pathological physiological functioning. In this regard, chaos control methods may be useful to promote the stabilization of unstable periodic orbits using small perturbations. In this article, the extended time-delayed feedback control method is applied to a natural cardiac pacemaker described by a mathematical model. The model consists of a modified Van der Pol equation that reproduces the behavior of this pacemaker. Results show the ability of the chaos control strategy to control the system response performing either the stabilization of unstable periodic orbits or the suppression of chaotic response, avoiding behaviors associated with critical cardiac pathologies.