Detecting determinism in high-dimensional chaotic systems.
A method based upon the statistical evaluation of the differentiability of the measure along the trajectory is used to identify determinism in high-dimensional systems. The results show that the method is suitable for discriminating stochastic from deterministic systems even if the dimension of the latter is as high as 13. The method is shown to succeed in identifying determinism in electroencephalogram signals simulated by means of a high-dimensional system.
Ortega
G J
GJ
Centro de Estudios e Investigaciones and Consejo Nacional de Investigaciones Cientificas y Técnicas, Universidad Nacional de Quilmes, R. S. Peña 180, 1876, Bernal, Argentina.
Degli Esposti Boschi
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C
Louis
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