This work proposes a model to generate electrocardiogram signals by means coupled nonlinear oscillators, which were obtained by the spatial discretization, of the BVAM model proposed by Barrio et al in 1999 [1]. The ECG signals are obtained as a combined signal of the variables of these oscillators. The different operating regimes of the proposed model have been analyzed via the time series, phase plane, power spectrum, bifurcation diagram and the largest Lyapunov exponent. From analysis, we show that the sequence of bifurcations followed by the model is consistent with the Ruelle-Takens-Newhouse route to chaos. Assuming the presence of deterministic chaos in ventricular fibrillation (VF), we associated the transition from sinus rhythm to VF. Additionally, several well-known rhythm disorders are reproduced and compared with real ECG signals.
[1] R. A. Barrio, C. Varea, J. L. Aragón, and P. K. Maini, Bull. Math. Biol. 61, 483 1999.
Instituto de Física, Universidad Nacional Autónoma de México, Mexico City, Mexico.