J. Phys. IV France 08 (1998) Pr6-209-Pr6-213
Analysis of the deterministic behaviour of experimental seriesA. Celletti1, I. Tetko2, 3 and A.E.P. Villa2
1 Dipartimento di Matematica, Università di L'Aquila, 67100 L'Aquila, Italy
2 Laboratoire de Neuro-heuristique, Institut de Physiologie, Université de Lausanne, 1005 Lausanne, Switzerland
3 Department of Biomedical Applications, IBPC, Academy of Sciences of Ukraine, Murmanskaya 1, Kiev-660, 253660, Ukraine
The deterministic character of discrete time series is analyzed by means of a method developed by Grassberger and Procaccia. This technique allows to determine the dimension of the chaotic attractor as well as that of the embedding space. The method is generalized to the analysis of the chaotic behaviour associated simultaneously to two discrete time series. Applications to neurobiological data are presented.
© EDP Sciences 1998