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. © 2001 The American Physical Society.

Detecting determinism in high-dimensional chaotic systems

Degli Esposti Boschi;
2002

Abstract

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. © 2001 The American Physical Society.
2002
Band structure
Dielectric materials
Elastomers
Formability
Liquid crystals
Permittivity
Photons
Polarization
Stress analysis
Cholesteric elastomers (CE)
Cholesteric liquid crystals (CLC)
Photonic band structures
Photonic band-gap (PBG) materials
Self assembly
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/237785
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