The development of matrix decomposition theory for nonlinear analysis of chaotic attractors of complex systems and signals

Author

Krot, Alexander M.

Author_Institution

United Inst. of Inf. Problems, Nat. Acad. of Sci. of Belarus, Minsk, Belarus

fYear

2009

fDate

5-7 July 2009

Firstpage

1

Lastpage

5

Abstract

A new method of nonlinear analysis of chaotic attractors on the basis of the proposed matrix decomposition theory of vector functions in state space of complex systems is developed. It includes an analysis of linear term of the matrix series as well as an estimation of influence of quadratic term (in generally, high order terms) of the matrix series on stability of complex system. Using results of the matrix decomposition high order Lyapunov characteristic exponents are defined.

Keywords

Lyapunov methods; matrix decomposition; signal processing; chaotic attractors; complex signals; complex systems; high order Lyapunov characteristic exponents; matrix decomposition theory; nonlinear analysis; Chaos; Electronic mail; Functional analysis; Informatics; Matrix decomposition; Nonlinear dynamical systems; Signal analysis; Stability; State-space methods; Vectors; Lyapunov exponents; attractors; complex systems; matrix series;

fLanguage

English

Publisher

ieee

Conference_Titel

Digital Signal Processing, 2009 16th International Conference on

Conference_Location

Santorini-Hellas

Print_ISBN

978-1-4244-3297-4

Electronic_ISBN

978-1-4244-3298-1

Type

conf

DOI

10.1109/ICDSP.2009.5201123

Filename

5201123