论文信息 - An electronic technique for measuring phase space dimension from chaotic time series

An electronic technique for measuring phase space dimension from chaotic time series

Abstract An instrument for determining the number of independent variables involved in chaotic dynamical systems is described. The elaborated technique allows to obtain this measure in real time from a single observable. It has been used for the quantitative characterization of strange attractors underlying chaotic oscillations in anumber of nonlinear electronic circuits. This technique is found to be fairly insensitive to stochastic noise inherent in real experimental systems.

[1] James P. Crutchfield,et al. Low-dimensional chaos in a hydrodynamic system , 1983 .

[2] Jeffries,et al. Spatial and temporal structure of chaotic instabilities in an electron-hole plasma in Ge. , 1985, Physical review letters.

[3] Francis C. Moon,et al. An optical technique for measuring fractal dimensions of planar poincaré maps , 1986 .

[4] P. Grassberger,et al. Characterization of Strange Attractors , 1983 .

[5] I. Dvor̂ak,et al. On some problems encountered in the estimation of the correlation dimension of the EEG , 1986 .

[6] A. Tamasevicius,et al. Quantitative characterization of chaotic current oscillations in GaAs:Cr , 1988 .

[7] G. P. King,et al. Topological dimension and local coordinates from time series data , 1987 .

[8] Keiichi Yamamoto,et al. Chaotic noise in the firing wave instability of the current filaments in GaAs , 1985 .

[9] James P. Crutchfield,et al. Geometry from a Time Series , 1980 .

[10] J. Roux,et al. Representation of a strange attractor from an experimental study of chemical turbulence , 1980 .

[11] M. Sieber. Experiments on the attractor-dimension for turbulent pipe flow , 1987 .

[12] Teruo Miura,et al. A Strange Attractor of a System of 3 Disk-Dynamos and a Geomagnetic Attractor: Their Dimensions and K2 Entropies , 1986 .