Piecewise closed form expression of Rössler-like trajectories

2021/01/13 by Stefano Morosetti, Morosetti, Stefano
Mathematics · #37M05 #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS #msc:37M05

paper · pdf · doi:10.48550/arxiv.2101.05749

17 pages, 9 figures, 2 computer programs

arxiv created 2021/01/13 · arxiv updated 2021/01/15

Abstract

The use of iteration and piecewise functions allows analytic expression of the trajectories of an Rössler-like attractor, avoiding infinite series solution. It seems possible to extend this approach to other attractors, even if the differential equations are not known, but the experimental data have been collected.

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