Nonlinear Phenomena in Complex Systems, 2001, Vol.4, No.2, pp.106-115

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2001, Volume 4, Number 2, pp.106-115

Matrix Decompositions of Vector Functions and Shift Operators on the Trajectories of a Nonlinear Dynamical System
Alexander M. Krot

Decomposition relationships for nonlinear dynamical system operators into state space based on matrix series are proposed. Analysis of attractors of complex dynamical systems based on proposed decomposition was carried out. The representation for a shift operator on trajectories of nonlinear dynamical system through shift operators on trajectories of multidimensional linear dynamical systems has been obtained.
Key words: nonlinear dynamical systems, state space, matrix series, attractors of complex dynamical systems, shift operator on the trajectories.

Full text: Acrobat PDF (179KB) PostScript (652KB) PostScript.gz (174KB)