1 April 2003 Numerical analysis of chaotic and fractal properties for complex systems with nonlinear feedback
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Abstract
On a basis of local-topological approach we propose modification of a correlation integral approach that solves a problem of minimizing computer resources for fractal analysis implementation and makes the employed algorithm insensitive to enlarging phase space dimension. The effective approach for estimating characteristic equation components for extended Jacobian-matrix is developed, that allows determination of characteristic exponents with respect to nonlinear feedback modeling. Application of developed methods to neural systems is explored.
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Victor F. Dailyudenko, Victor F. Dailyudenko, } "Numerical analysis of chaotic and fractal properties for complex systems with nonlinear feedback", Proc. SPIE 5102, Independent Component Analyses, Wavelets, and Neural Networks, (1 April 2003); doi: 10.1117/12.488019; https://doi.org/10.1117/12.488019
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