Detecting changes in the basin of attraction of a dynamical system: Application to the postural restoring system

Zakynthinaki, María and Lopez, Alfonso and Cordente Martinez, Carlos Alberto and Ospina Betancurt, Jonathan A. and Sillero Quintana, Manuel and Sampedro Molinuevo, Javier (2013). Detecting changes in the basin of attraction of a dynamical system: Application to the postural restoring system. "APPLIED MATHEMATICS AND COMPUTATION", v. 219 (n. 17); pp. 8910-8922. ISSN 0096-3003. https://doi.org/10.1016/j.amc.2013.03.030.

Description

Title: Detecting changes in the basin of attraction of a dynamical system: Application to the postural restoring system
Author/s:
  • Zakynthinaki, María
  • Lopez, Alfonso
  • Cordente Martinez, Carlos Alberto
  • Ospina Betancurt, Jonathan A.
  • Sillero Quintana, Manuel
  • Sampedro Molinuevo, Javier
Item Type: Article
Título de Revista/Publicación: APPLIED MATHEMATICS AND COMPUTATION
Date: 2013
ISSN: 0096-3003
Volume: 219
Subjects:
Freetext Keywords: Modelling,Curve fitting,Dynamical system,Human balance
Faculty: Facultad de Ciencias de la Actividad Física y del Deporte (INEF) (UPM)
Department: Deportes
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

A method that provides athree-dimensional representation ofthe basin ofattraction of a dynamical system from experimen tal data was applied tothe problem ofdynamic balance restoration. The method isbased onthe density ofthe data onthe phase space ofthe system under study and makes use ofmodeling and numerical curve fittingtools.For the dynamical system ofbalance restora tion,the shape and the size of the basin of attraction depend on the dynamics of the postural restoring mechanisms and contain important information regarding the biomechanical,as well as the neuromuscular condition of the individual. The aim ofthis work was toexamine the ability ofthe method todetect, through the observed changes inthe shape and/or the size ofthe calculated basins of attraction, (a)the inherent differences between different systems (in the current application, postural restoring systems of different individuals)and (b)induced chan ges in the same system (thepostural restoring system of an individual).The results ofthe study confirm the validity of the method and furthermore justify its robustness.

More information

Item ID: 29396
DC Identifier: http://oa.upm.es/29396/
OAI Identifier: oai:oa.upm.es:29396
DOI: 10.1016/j.amc.2013.03.030
Deposited by: Memoria Investigacion
Deposited on: 04 Feb 2015 17:36
Last Modified: 04 Feb 2015 17:36
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