Numerical analysis of chaotic and fractal properties for complex systems with nonlinear feedback

Victor F. Dailyudenko

doi:10.1117/12.488019

1 April 2003 Numerical analysis of chaotic and fractal properties for complex systems with nonlinear feedback

Victor F. Dailyudenko

Proceedings Volume 5102, Independent Component Analyses, Wavelets, and Neural Networks; (2003) https://doi.org/10.1117/12.488019
Event: AeroSense 2003, 2003, Orlando, Florida, United States

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.

Citation Download Citation

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); https://doi.org/10.1117/12.488019

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available