کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
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1888821 | 1533642 | 2016 | 7 صفحه PDF | دانلود رایگان |
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=3n=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.
Journal: Chaos, Solitons & Fractals - Volume 83, February 2016, Pages 105–111