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

Zakynthinaki, María; Lopez, Alfonso; Cordente Martinez, Carlos Alberto; Ospina Betancurt, Jonathan A.; Sillero Quintana, Manuel y 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.

Descripción

Título: Detecting changes in the basin of attraction of a dynamical system: Application to the postural restoring system
Autor/es:
  • Zakynthinaki, María
  • Lopez, Alfonso
  • Cordente Martinez, Carlos Alberto
  • Ospina Betancurt, Jonathan A.
  • Sillero Quintana, Manuel
  • Sampedro Molinuevo, Javier
Tipo de Documento: Artículo
Título de Revista/Publicación: APPLIED MATHEMATICS AND COMPUTATION
Fecha: 2013
Volumen: 219
Materias:
Palabras Clave Informales: Modelling,Curve fitting,Dynamical system,Human balance
Escuela: Facultad de Ciencias de la Actividad Física y del Deporte (INEF) (UPM)
Departamento: Deportes
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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Resumen

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.

Más información

ID de Registro: 29396
Identificador DC: http://oa.upm.es/29396/
Identificador OAI: oai:oa.upm.es:29396
Identificador DOI: 10.1016/j.amc.2013.03.030
Depositado por: Memoria Investigacion
Depositado el: 04 Feb 2015 17:36
Ultima Modificación: 04 Feb 2015 17:36
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