Nonlinear Phenomena in Complex Systems, 2002, Vol.5, No.2, pp.161-172

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2002, Vol.5, No.2, pp.161-172

Minimal Attractor Embedding Estimation Based on Matrix Decomposition for Analysis of Dynamical Systems.
Alexander M. Krot and Helena B. Minervinas

The theoretical ground of a local-topological method for defining a minimal attractor embedding dimension on the basis of matrix decomposition for different types of dynamical systems is proposed. The computer confirmation of the theoretical results is presented. The investigation of digital electrocardio signals using local-topological analysis of chaotic attractor trajectories is carried out.
Key words: dynamical systems, chaotic dynamics, state-space, attractor, minimal embedding dimension, nonlinear decomposition

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