Suppression of periodic structures and the onset of hyperchaos in a parameter-space of the Baier–Sahle flow. (February 2016)

• Record Type: Journal Article
• Authors: Prants, Fabiola G.; Rech, Paulo C.
• Is Part Of: Chaos, solitons and fractals. Volume 83(2016)
• Page Start: 105
• Page End: 111
• Publication Date: 2016-02
• Subjects: Period-adding -- Hyperchaos -- Spiral periodic structure -- Parameter-space -- Lyapunov exponents; 05.45.-a -- 05.45.Ac -- 05.45.Pq; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2015.11.037
• Languages: English
• ISSNs: 0960-0779

Abstract

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.