Detecting Determinism in High Dimensional Chaotic Systems

Details Detecting Determinism in High Dimensional Chaotic Systems Detecting Determinism in High Dimensional Chaotic Systems

2001-09-18

arxiv.org/abs/nlin/0109017v1

Phys. Rev. E 65, 016208 (2002).

Nonlinear Sciences

Chaotic Dynamics

8 pages (RevTeX 3 style), 5 EPS figures, submitted to Phys. Rev. E (25 apr 2001)

Scientific paper

10.1103/PhysRevE.65.016208

A method based upon the statistical evaluation of the differentiability of the measure along the trajectory is used to identify 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 electro-encephalogram signals simulated by means of a high dimensional system.

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