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

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  • Prants, Fabiola G.
  • Rech, Paulo C.

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.

Suggested Citation

  • Prants, Fabiola G. & Rech, Paulo C., 2016. "Suppression of periodic structures and the onset of hyperchaos in a parameter-space of the Baier–Sahle flow," Chaos, Solitons & Fractals, Elsevier, vol. 83(C), pages 105-111.
    • Handle: RePEc:eee:chsofr:v:83:y:2016:i:c:p:105-111
    DOI: 10.1016/j.chaos.2015.11.037
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