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Article Dans Une Revue Mathematics and Computers in Simulation Année : 2011

Generating chaotic attractors on a surface

Résumé

The present paper introduces a new method to generate several independent periodic attractors, based on a switching piecewise-constant controller. We demonstrate here that the state space equidistant repartition of these attractors is on an arbitrarily precise zone of a paraboloid or plane. We determine the state space domains where the attractors are generated from different initial conditions. A mathematical formula giving their maximal number in function of the controller piecewise-constant values is then deduced.
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Dates et versions

hal-01202688 , version 1 (24-02-2018)

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Cristina Morel, Radu Vlad, Jean-Yves Morel, Dorin Petreus. Generating chaotic attractors on a surface. Mathematics and Computers in Simulation, 2011, 81, pp.2549-2563. ⟨10.1016/j.matcom.2011.05.003⟩. ⟨hal-01202688⟩
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