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Adiabatic Invariant of Center-of-Mass Motion during Walking as a Dynamical Stability Constraint on Stride Interval Variability and Predictability
09 septembre 2022, BUISSERET, Fabien; Dehouck, Victor; Boulanger, Nicolas; HENRY, Guillaume; Piccinin, Florence; White, Olivier; DIERICK, Frédéric, HE Louvain en HainautArticle scientifiqueHuman walking exhibits properties of both stability and variability. On the one hand, the variability of the interval of time between heel strikes is autocorrelated, i.e., not randomly organized. On the other hand, walking is highly stereotyped and arguments from general mechanics suggest that the stability of gait can be assessed according to invariant properties. This study aims at proposing ... -
Adiabatic invariants drive rhythmic human motion in variable gravity
01 décembre 2020, Boulanger, Nicolas; BUISSERET, Fabien; DIERICK, Frédéric; Dehouck, Victor; White, Olivier, CeREF TechniqueArticle scientifiqueVoluntary human movements are stereotyped. When modeled in the framework of classical mechanics they are expected to minimize cost functions that may include energy, a natural candidate from a physiological point of view also. In time-changing environments, however, energy is no longer conserved—regardless of frictional energy dissipation—and it is therefore not the preferred candidate for any cost ... -
Diffusion in Phase Space as a Tool to Assess Variability of Vertical Centre-of-Mass Motion during Long-Range Walking
06 février 2023, Boulanger, Nicolas; BUISSERET, Fabien; Dehouck, Victor; DIERICK, Frédéric; White, Olivier, CeREF SantéCeREF TechniqueArticle scientifiqueWhen 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 ... -
Motor strategies and adiabatic invariants: The case of rhythmic motion in parabolic flights
05 août 2021, White, Olivier; DIERICK, Frédéric; Dehouck, Victor; BUISSERET, Fabien; Boulanger, Nicolas, CeREF TechniqueArticle scientifiqueThe role of gravity in human motor control is at the same time obvious and difficult to isolate. It can be assessed by performing experiments in variable gravity. We propose that adiabatic invariant theory may be used to reveal nearly conserved quantities in human voluntary rhythmic motion, an individual being seen as a complex time-dependent dynamical system with bounded motion in phase space. ...