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  1. 1

    HRV and blood parameters for assessing the physiological functioning of cyclists during long-distance rides across different altitudes

    Du, W., Zhang, M., Niu, X., Li, H., Wan, Y.
    Published in Frontiers in Physiology (2025)
    “…Among nonlinear HRV metrics, the short-term standard deviation of the Poincaré plot (SD1) and long-term standard deviation (SD2) significantly decreased at 4,182 m (P < 0.01), while approximate entropy (ApEn), sample entropy (SampEn), and alpha2 significantly increased (P < 0.05). …”
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  2. 2

    Pedaling variability in cycling: A nonlinear approach

    Albano, D.
    Published in Journal of Science and Cycling (2024)
    “…Moreover, variability has a specific structure and organization that can be quantified by nonlinear measures of complexity, such as entropy, fractal dimension, largest Lyapunov exponent (LyE). …”
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  3. 3

    Pedaling variability in cycling: A nonlinear approach

    Albano, D.
    Published in Journal of Science and Cycling (2024)
    “…Moreover, variability has a specific structure and organization that can be quantified by nonlinear measures of complexity, such as entropy, fractal dimension, largest Lyapunov exponent (LyE). …”
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  4. 4

    Nonlinear analysis of the hand and foot force-time profiles in the four competitive swimming strokes

    Bartolomeu, R. F., Rodrigues, P., Sokolowski, K., Strzala, M., Santos, C. C., Costa, M. J., Barbosa, T. M.
    Published in Journal of Human Kinetics (2024)
    “…The Higuchi`s fractal dimension (HFD) and sample entropy (SampEn) were used for the nonlinear analysis of force and velocity. …”
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  5. 5

    Shannon entropy and herfindahl-hirschman index as team's performance and competitive balance indicators in cyclist multi-stage races

    Ausloos, M.
    Published in Entropy (2023)
    “…Shannon-Entropie und Herfindahl-Hirschman-Index als Indikatoren für die Mannschaftsleistung und das Wettbewerbsgleichgewicht bei Radrennen über mehrere Etappen…”
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  6. 6

    Trunk motion during a half-marathon: the impact of perceived fatigue on motion stability and smoothness

    Apte, S., Laroche, N., Gremeaux, V., Aminian, K.
    Published in ISBS Proceedings Archive (Michigan) (2022)
    “…Based on mediolateral acceleration and running velocity (v), stability was characterized by spectral entropy, RMS of acceleration (RMSA), and autocorrelation between successive steps and strides; smoothness by jerk cost (JC), spectral arc length (SPARC), and inverse number of peaks (IPV) of v. …”
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  7. 7

    The influence of cyclists' competitive level and exercise intensity on crank torque variability during pedalling

    Herrero-Molleda, A., Floría, P., Garcia-Lopez, J.
    Published in ISBS Proceedings Archive (Michigan) (2021)
    “…Multiple-trial variability (average standard deviation) and complexity (Sample Entropy) analyses were applied. Both competitive level and pedalling intensity showed a significant effect on Sample Entropy values of crank torque, with a significant interaction between the two factors, while average standard deviation was only affected by pedalling intensity. …”
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  8. 8

    Contribution of limbs` actions to the four competitive swimming strokes: a nonlinear approach

    Bartolomeu, R. F., Costa, M. J., Barbosa, T. M.
    Published in Journal of Sports Sciences (2018)
    “…Velocity, speed fluctuation, sample entropy and fractal dimension were derived from the speed-time series. …”
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  9. 9

    The changes in classical and nonlinear parameters after a maximal bout to elicit fatigue in competitive swimming

    Barbosa,T. M., Chen, S., Morais, J. E., Costa, M. J., Batalha, N.
    Published in Human Movement Science (2018)
    “…Before (pre-) and immediately after (post-test) the bout, participants swam an allout 25m to derive the speed fluctuation (dv), approximate entropy (ApEn) and fractal dimension (FD) from the speed-time series collected by a speedo-meter. …”
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  10. 10

    A pilot study using entropy as a noninvasive assessment of running

    Murray, A. M., Ryu, J. H., Sproule, J., Turner, A. P., Graham-Smith, P., Cardinale, M.
    Published in International Journal of Sports Physiology and Performance (2017)
    “…The root mean square (RMS) and sample entropy (SampEn) were calculated for the vertical, mediolateral, and anteroposterior components of acceleration. …”
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  11. 11

    Immediate and long term effects of endurance and high intensity interval exercise on linear and nonlinear heart rate variability

    Perkins, S. E., Jelinek, H. F., Al-Aubaidy, H. A., de Jong, B.
    Published in Journal of Science and Medicine in Sport (2017)
    “…The long term correlation of the heart rate applying detrended fluctuation analysis was decreased immediately following endurance training (p = 0.039) and trended to increase immediately following the interval protocol (p = 0.156). Sample entropy was decreased immediately following both the endurance (p = 0.023) and interval (p = 0.031) protocols. …”
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  12. 12

    Surface effects on dynamic stability and loading during outdoor running using wireless trunk accelerometry

    Schütte, K., Aeles, J., Op De Beéck, T., van der Zwaard, B. C., Venter, R., Vanwanseele, B.
    Published in Gait and Posture (2016)
    “…Dynamic postural stability (tri-axial acceleration root mean square (RMS) ratio, step and stride regularity, sample entropy), dynamic loading (impact and breaking peak amplitudes and median frequencies), as well as spatio-temporal running gait measures (step frequency, stance time) were derived from trunk accelerations sampled at 1024 Hz. …”
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