Second International Workshop on Models and Analysis of Vocal Emissions for Biomedical Applications (MAVEBA 2001)

Florence, Italy
September 13-15, 2001

Estimation of Minimal Chaotic Attractor Embedding Dimension on the Basis of Matrix Decomposition for Biomedical Signal Processing

Alexander M. Krot, Helena B. Minervina

Institute of Engineering Cybernetics of the National Academy of Sciences of Belarus, Minsk, Belarus

The theoretic ground of a local-topological method for defining a minimal attractor embedding dimension on the basis of matrix decomposition is proposed. The investigation of digital electrocardio signals using local-topological analysis of chaotic attractor trajectories is carried out. The computer confirmation of the theoretical results is presented.

Index Terms. complex systems, chaotic dynamics, state-space, attractor, minimal embedding dimension, nonlinear decomposition

Full Paper

Bibliographic reference.  Krot, Alexander M. / Minervina, Helena B. (2001): "Estimation of minimal chaotic attractor embedding dimension on the basis of matrix decomposition for biomedical signal processing", In MAVEBA-2001, 201-206.