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

Zakynthinaki, María S.; Stirling, James; Cordente Martinez, Carlos Alberto; Lopez Diaz de Durana, Alfonso; Sillero Quintana, Manuel; Rodríguez Romo, Gabriel y 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.

Descripción

Título: Modelling the basin of attraction as a two-dimensional manifold from experimental data: applications to balance in humans
Autor/es:
  • Zakynthinaki, María S.
  • Stirling, James
  • Cordente Martinez, Carlos Alberto
  • Lopez Diaz de Durana, Alfonso
  • Sillero Quintana, Manuel
  • Rodríguez Romo, Gabriel
  • Sampedro Molinuevo, Javier
Tipo de Documento: Artículo
Título de Revista/Publicación: Chaos
Fecha: Enero 2010
Volumen: 20
Materias:
Escuela: Facultad de Ciencias de la Actividad Física y del Deporte (INEF) (UPM)
Departamento: Otro
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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Resumen

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

Más información

ID de Registro: 8418
Identificador DC: http://oa.upm.es/8418/
Identificador OAI: oai:oa.upm.es:8418
Identificador DOI: 10.1063/1.3337690
Depositado por: Memoria Investigacion
Depositado el: 24 Ago 2011 09:56
Ultima Modificación: 20 Abr 2016 17:13
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