Generating chaotic attractors on a surface

C. Morel, R. Vlad, J.-Y. Morel and D. Petreus

Mathematics and Computers in Simulation (MATCOM), 2011, vol. 81, issue 11, 2549-2563

Abstract: 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.

Keywords: Anticontrol of chaos; Independent chaotic attractors; Initial conditions; Switching piecewise-constant controller (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:81:y:2011:i:11:p:2549-2563

DOI: 10.1016/j.matcom.2011.05.003

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