Suppression of periodic structures and the onset of hyperchaos in a parameter-space of the Baier–Sahle flow

Fabiola G. Prants and Paulo C. Rech

Chaos, Solitons & Fractals, 2016, vol. 83, issue C, 105-111

Abstract: We investigate a two-dimensional parameter-space of the Baier–Sahle flow, which is a mathematical model consisting of a set of n autonomous, four-parameter, first-order nonlinear ordinary differential equations. By using the Lyapunov exponents spectrum to numerically characterize the dynamics of the model in the chosen parameter-space, we show that for n=3 it presents typical periodic structures embedded in a chaotic region, forming a spiral structure that coils up around a focal point while period-adding bifurcations take place. We also show that these structures are destroyed as n is increased, as well as we delimit hyperchaotic regions with two or more positive Lyapunov exponents in the investigated parameter-space, for n greater than 3.

Keywords: Period-adding; Hyperchaos; Spiral periodic structure; Parameter-space; Lyapunov exponents (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:83:y:2016:i:c:p:105-111

DOI: 10.1016/j.chaos.2015.11.037

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