Reduced Fractal Analysis of the Multidimensional Attractor Reconstructed from Chaotic Time Series

摘要

On a basis of local-topological approach we propose modification of correlation integral method that solves a problem of minimizing computer resources for fractal analysis implementation and makes the employed algorithm insensitive to enlarging phase space dimension (on the condition of constant length of time series). The numerical simulations confirm reliability of developed algorithm for phase trajectories analysis and its applicability for exploration of the complex systems.