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Diffusion in Phase Space as a Tool to Assess Variability of Vertical Centre-of-Mass Motion during Long-Range Walking

dc.rights.licenseCC1en_US
dc.contributor.authorBoulanger, Nicolas
dc.contributor.authorBUISSERET, Fabien
dc.contributor.authorDehouck, Victor
dc.contributor.authorDIERICK, Frédéric
dc.contributor.authorWhite, Olivier
dc.date.accessioned2023-02-07T12:12:41Z
dc.date.available2023-02-07T12:12:41Z
dc.date.issued2023-02-06
dc.identifier.urihttps://luck.synhera.be/handle/123456789/1761
dc.identifier.doi10.3390/physics5010013en_US
dc.description.abstractWhen a Hamiltonian system undergoes a stochastic, time-dependent anharmonic perturbation, the values of its adiabatic invariants as a function of time follow a distribution whose shape obeys a Fokker–Planck equation. The effective dynamics of the body’s centre-of-mass during human walking is expected to represent such a stochastically perturbed dynamical system. By studying, in phase space, the vertical motion of the body’s centre-of-mass of 25 healthy participants walking for 10 min at spontaneous speed, we show that the distribution of the adiabatic invariant is compatible with the solution of a Fokker–Planck equation with a constant diffusion coefficient. The latter distribution appears to be a promising new tool for studying the long-range kinematic variability of walking.en_US
dc.description.sponsorshipNoneen_US
dc.language.isoENen_US
dc.publisherMDPIen_US
dc.relation.ispartofPhysicsen_US
dc.rights.urihttps:// creativecommons.org/licenses/by/ 4.0/en_US
dc.subjectgait variabilityen_US
dc.subjectadiabatic invarianten_US
dc.subjectphase-space dynamicsen_US
dc.subjectrandom noiseen_US
dc.subjectFokker-Planck equationen_US
dc.titleDiffusion in Phase Space as a Tool to Assess Variability of Vertical Centre-of-Mass Motion during Long-Range Walkingen_US
dc.typeArticle scientifiqueen_US
synhera.classificationPhysique, chimie, mathématiques & sciences de la terreen_US
synhera.institutionCeREF Santéen_US
synhera.institutionCeREF Techniqueen_US
synhera.otherinstitutionHELHaen_US
synhera.otherinstitutionUMONSen_US
synhera.otherinstitutionRehazenteren_US
synhera.otherinstitutionUniversité de Bourgogneen_US
synhera.otherinstitutionUCLouvainen_US
synhera.cost.total0en_US
synhera.cost.apc0en_US
synhera.cost.comp0en_US
synhera.cost.acccomp0en_US
dc.description.versionOuien_US
dc.rights.holderMDPIen_US


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