Fractal Basins in the Lorenz Model

I. Djellit1**, J. C. Sprott2, M. R. Ferchichi1
1Laboratory of Mathematics, Dynamics and Modelization, Annaba-Algeria
2Department of Physics, University of Wisconsin, Madison, WI 53706 USA

(Received 29 December 2010)


The Lorenz mapping is a discretization of a pair of differential equations. It illustrates the pertinence of computational chaos. We describe complex dynamics, bifurcations, and chaos in the map. Fractal basins are displayed by numerical simulation.

Ref: I. Djellit, J. C. Sprott, and M. R. Ferchichi, Chin. Phys. Lett. 28, 060501-1 - 060501-4 (2011)

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