Title :
Bifurcation Analysis of Attractors of Complex Systems Based on Matrix Decomposition Theory
Author :
Krot, Alexander M.
Author_Institution :
United Inst. of Inf. Problems, Nat. Acad. of Sci. of Belarus, Minsk, Belarus
Abstract :
A new method of bifurcation analysis of chaotic attractors on the basis of the proposed matrix decomposition theory of vector functions in state space of complex systems is developed. Decomposition relationships for attractors of complex nonlinear dynamical system based on matrix series are considered. Bifurcation analysis of attractors of complex dynamical systems using the obtained decomposition relationships is carried out.
Keywords :
bifurcation; chaos; large-scale systems; matrix decomposition; nonlinear dynamical systems; bifurcation analysis; chaotic attractor; complex nonlinear dynamical system; decomposition relationship; matrix decomposition theory; matrix series; state space; vector function; Bifurcation; Chaos; Differential equations; Mathematical model; Matrix decomposition; Nonlinear dynamical systems;
Conference_Titel :
Management and Service Science (MASS), 2011 International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-6579-8
DOI :
10.1109/ICMSS.2011.5999350
