Modelling the basin of attraction as a two-dimensional manifold from experimental data: applications to balance in humans

Zakynthinaki, María S. and Stirling, James and Cordente Martinez, Carlos Alberto and Lopez Diaz de Durana, Alfonso and Sillero Quintana, Manuel and Rodríguez Romo, Gabriel and Sampedro Molinuevo, Javier (2010). Modelling the basin of attraction as a two-dimensional manifold from experimental data: applications to balance in humans. "Chaos", v. 20 (n. 1); pp. 1054-1500. ISSN 1054-1500. https://doi.org/10.1063/1.3337690.

Description

Title: Modelling the basin of attraction as a two-dimensional manifold from experimental data: applications to balance in humans
Author/s:
  • Zakynthinaki, María S.
  • Stirling, James
  • Cordente Martinez, Carlos Alberto
  • Lopez Diaz de Durana, Alfonso
  • Sillero Quintana, Manuel
  • Rodríguez Romo, Gabriel
  • Sampedro Molinuevo, Javier
Item Type: Article
Título de Revista/Publicación: Chaos
Date: January 2010
ISSN: 1054-1500
Volume: 20
Subjects:
Faculty: Facultad de Ciencias de la Actividad Física y del Deporte (INEF) (UPM)
Department: Otro
Creative Commons Licenses: Recognition - No derivative works - Non commercial

Full text

[img]
Preview
PDF - Requires a PDF viewer, such as GSview, Xpdf or Adobe Acrobat Reader
Download (975kB) | Preview

Abstract

We present a method of modeling the basin of attraction as a three-dimensional function describing a two-dimensional manifold on which the dynamics of the system evolves from experimental time series data. Our method is based on the density of the data set and uses numerical optimization and data modeling tools. We also show how to obtain analytic curves that describe both the contours and the boundary of the basin. Our method is applied to the problem of regaining balance after perturbation from quiet vertical stance using data of an elite athlete. Our method goes beyond the statistical description of the experimental data, providing a function that describes the shape of the basin of attraction. To test its robustness, our method has also been applied to two different data sets of a second subject and no significant differences were found between the contours of the calculated basin of attraction for the different data sets. The proposed method has many uses in a wide variety of areas, not just human balance for which there are many applications in medicine, rehabilitation, and sport

More information

Item ID: 8418
DC Identifier: http://oa.upm.es/8418/
OAI Identifier: oai:oa.upm.es:8418
DOI: 10.1063/1.3337690
Deposited by: Memoria Investigacion
Deposited on: 24 Aug 2011 09:56
Last Modified: 20 Apr 2016 17:13
  • Logo InvestigaM (UPM)
  • Logo GEOUP4
  • Logo Open Access
  • Open Access
  • Logo Sherpa/Romeo
    Check whether the anglo-saxon journal in which you have published an article allows you to also publish it under open access.
  • Logo Dulcinea
    Check whether the spanish journal in which you have published an article allows you to also publish it under open access.
  • Logo de Recolecta
  • Logo del Observatorio I+D+i UPM
  • Logo de OpenCourseWare UPM