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Approximate discrete dynamics of EMG signal

Publication ,  Journal Article
Mukherjee, S; Palit, SK; Bhattacharya, DK
Published in: Applied Mathematics and Computation
September 15, 2014

Approximation of a continuous dynamics by discrete dynamics in the form of Poincaré map is one of the fascinating mathematical tool, which can describe the approximate behaviour of the dynamics of the dynamical system in lesser dimension than the embedding dimension. The present article considers a very rare biomedical signal like Electromyography (EMG) signal. It determines suitable time delay and reconstruct the attractor with embedding dimension three. By measuring its Lyapunov exponent, the attractor so reconstructed is found to be chaotic. Naturally the Poincaré map obtained by corresponding Poincaré section has to be chaotic too. This may be verified by calculation of Lyapunov exponent of the map. The main objective of this article is to show that Poincaré map exists in this case as a 2D map for a suitable Poincaré section only. In fact, the article considers two Poincaré sections of the attractor for construction of the Poincaré map. It is seen that one such map is chaotic but the other one is not so - both are verified by calculation of Lyapunov exponent of the map. © 2014 Elsevier Inc. All rights reserved.

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Published In

Applied Mathematics and Computation

DOI

ISSN

0096-3003

Publication Date

September 15, 2014

Volume

243

Start / End Page

879 / 888

Related Subject Headings

  • Numerical & Computational Mathematics
  • 0802 Computation Theory and Mathematics
  • 0103 Numerical and Computational Mathematics
  • 0102 Applied Mathematics
 

Citation

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Mukherjee, S., Palit, S. K., & Bhattacharya, D. K. (2014). Approximate discrete dynamics of EMG signal. Applied Mathematics and Computation, 243, 879–888. https://doi.org/10.1016/j.amc.2014.06.059
Mukherjee, S., S. K. Palit, and D. K. Bhattacharya. “Approximate discrete dynamics of EMG signal.” Applied Mathematics and Computation 243 (September 15, 2014): 879–88. https://doi.org/10.1016/j.amc.2014.06.059.
Mukherjee S, Palit SK, Bhattacharya DK. Approximate discrete dynamics of EMG signal. Applied Mathematics and Computation. 2014 Sep 15;243:879–88.
Mukherjee, S., et al. “Approximate discrete dynamics of EMG signal.” Applied Mathematics and Computation, vol. 243, Sept. 2014, pp. 879–88. Scopus, doi:10.1016/j.amc.2014.06.059.
Mukherjee S, Palit SK, Bhattacharya DK. Approximate discrete dynamics of EMG signal. Applied Mathematics and Computation. 2014 Sep 15;243:879–888.
Journal cover image

Published In

Applied Mathematics and Computation

DOI

ISSN

0096-3003

Publication Date

September 15, 2014

Volume

243

Start / End Page

879 / 888

Related Subject Headings

  • Numerical & Computational Mathematics
  • 0802 Computation Theory and Mathematics
  • 0103 Numerical and Computational Mathematics
  • 0102 Applied Mathematics