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

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  • Hadaeghi, Fatemeh
  • Hashemi Golpayegani, Seyed Mohammad Reza
  • Gardini, Laura

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.

Suggested Citation

  • Hadaeghi, Fatemeh & Hashemi Golpayegani, Seyed Mohammad Reza & Gardini, Laura, 2016. "A non-autonomous system leading to cyclic chaotic sets to model physiological rhythms," Applied Mathematics and Computation, Elsevier, vol. 281(C), pages 343-355.
    • Handle: RePEc:eee:apmaco:v:281:y:2016:i:c:p:343-355
    DOI: 10.1016/j.amc.2016.01.052
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    1. Premananda Indic & Paola Salvatore & Carlo Maggini & Stefano Ghidini & Gabriella Ferraro & Ross J Baldessarini & Greg Murray, 2011. "Scaling Behavior of Human Locomotor Activity Amplitude: Association with Bipolar Disorder," PLOS ONE, Public Library of Science, vol. 6(5), pages 1-8, May.
    2. Leon Glass, 2001. "Synchronization and rhythmic processes in physiology," Nature, Nature, vol. 410(6825), pages 277-284, March.
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