A non-autonomous system leading to cyclic chaotic sets to model physiological rhythms

Fatemeh Hadaeghi, Seyed Mohammad Reza Hashemi Golpayegani and Laura Gardini ()

Applied Mathematics and Computation, 2016, vol. 281, issue C, 343-355

Abstract: It is proposed a nonlinear system to model highly complex states of rhythms, whose patterns of activity seem irregular. A non-autonomous system which takes into account both exogenous and endogenous influences. The dynamic behaviors of its stroboscopic map are investigated, by using triangular systems. The model provides a theoretical framework for addressing cyclic transitions between chaotic sets. The analysis underlines the role of the parameters in the structure and shape of the attractors, so to be in agreement with experimental data.

Keywords: Non-autonomous system; Stroboscopic map; Aperiodic rhythms; Triangular systems (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:281:y:2016:i:c:p:343-355

DOI: 10.1016/j.amc.2016.01.052

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