Article ID Journal Published Year Pages File Type
4625869 Applied Mathematics and Computation 2016 13 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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