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Attractors synthesis for a Lotka-Volterra-like system

Domenii publicaţii > Matematica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: Marius-F. Danca

Editorial: Applied Mathematics and Computation, 216, p.2107–2117, 2010.

Rezumat:

The aim of this paper is to prove numerically, via computer graphic simulations, that the synthesis
algorithm provided by Danca et al. in [M.-F. Danca, W. K. S. Tang, G. Chen, A switching scheme for synthesizing attractors of dissipative chaotic systems, Appl. Math. Comput. 201 (2008) 650-667] can be utilized to synthesize any attractor of a dynamical system modeling a two-predator, one prey
Lotka-Volterra like system. The algorithm switches in a periodic deterministic or a random way the
control parameter inside a set of a chosen values. The obtained attractor is the same with the attractor
obtained for parameter value taken as averaged value of the switched control values. This simple and effective algorithm relies on a convex property induced in the set of the attractors corresponding to the chosen switching parameters. The algorithm was tested successfully on systems depending linearly on the control parameter like Lorenz, Chen, Rossler, networks and other systems.

Cuvinte cheie: stable attractors, chaotic attractors, Lotka-Volterra system, parameter switching