Stability and manoeuvrability of terrestrial vertebrates, Integrative and Comparative Biology, vol.42, issue.1, pp.158-164, 2002. ,
Running on flat turns: experiments, theory, and applications, Journal of biomechanical engineering, vol.107, issue.2, p.96, 1985. ,
How To Maintain Maximal Straight Path Running Speed on a Curved Path in Sprint Events, Journal of Human Kinetics, vol.62, issue.1, pp.23-31, 2018. ,
Technical adaptations of competitive sprinters induced by bend running, New Studies in Athletics, vol.18, issue.4, pp.57-70, 2003. ,
Accounting for elite indoor 200 m sprint results, Biology Letters, vol.2, issue.1, pp.47-50, 2006. ,
The effect of track geometry on 200-and 400-m sprint running performance, Journal of Sports Sciences, vol.27, issue.1, pp.19-25, 2009. ,
A simple model for predicting sprint-race times accounting for energy loss on the curve, Canadian journal of physics, vol.75, issue.11, pp.837-851, 1997. ,
Physics of sprinting, American Journal of Physics, vol.49, issue.3, pp.254-257, 1981. ,
, IAAF Track and Field Facilities Manual
Optimal velocity in a race, American Mathematical Monthly, pp.474-480, 1974. ,
Optimization of running strategies based on anaerobic energy and variations of velocity, SIAM Journal on Applied Mathematics, vol.74, issue.5, pp.1615-1636, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00851182
How to run 100 meters, SIAM Journal on Applied Mathematics, vol.77, issue.4, pp.1320-1334, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01338170
A mathematical model for the force and energetics in competitive running, Journal of mathematical biology, vol.31, issue.8, pp.853-878, 1993. ,
The Effect of Fatigue on Running Strategies. SIAM review, vol.31, pp.306-309, 1989. ,
The effects of wind and altitude in the 400-m sprint, Journal of sports sciences, vol.22, pp.1073-1081, 2004. ,
The optimal strategy for running a race (a mathematical model for world records from 50 m to 275 km). Mathematical and computer modelling, vol.15, pp.1-12, 1991. ,
Realistic following behaviors for crowd simulation, Computer Graphics Forum, vol.31, pp.489-498, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00762938
BOCOP -A toolbox for optimal control problems ,
Acceleration capability in elite sprinters and ground impulse: Push more, brake less, Journal of biomechanics, vol.48, issue.12, pp.3149-3154, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01467710
A Comparison of the Energetic Cost of Running in Marathon Racing Shoes, Sports Medicine, vol.48, issue.4, pp.1009-1019, 2018. ,
Effects of optimal pacing strategies for 400-, 800-, and 1500-m races on theV O2 response, Journal of sports sciences, vol.29, issue.9, pp.905-912, 2011. ,
Energy system contribution during 200-to 1500-m running in highly trained athletes, Medicine & Science in Sports & Exercise, vol.33, issue.1, pp.157-162, 2001. ,
Energy system interaction and relative contribution during maximal exercise. Sports medicine, pp.725-741, 2001. ,
How to identify the physiological parameters and run the optimal race, MathS In Action, vol.7, pp.1-10, 2016. ,
A simple method for measuring power, force, velocity properties, and mechanical effectiveness in sprint running, Scandinavian Journal of Medicine & Science in Sports, vol.26, issue.6, pp.648-658, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01389134
, The Physics Of Running, 201920.
Nash equilibrium in a stochastic model of two competing athletes, Journal of Statistical Mechanics: Theory and Experiment, vol.2018, issue.5, p.53401, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-02138318
Mixed-strategy Nash equilibrium for a discontinuous symmetric N-player game, Journal of Physics A: Mathematical and Theoretical, vol.51, issue.9, p.95001, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-02138332
Psychological state and running economy, Medicine & Science in Sports & Exercise, 1992. ,
Running under conditions of visual input attenuation, International Journal of Sport Psychology, vol.11, issue.3, pp.172-179, 1980. ,
The influence of wind resistance in running and walking and the mechanical efficiency of work against horizontal or vertical forces, The Journal of physiology, vol.213, issue.2, pp.255-276, 1971. ,
Theory and applications of optimal control problems with multiple time-delays, Journal of Industrial and Management Optimization, vol.10, issue.2, pp.413-441, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00916554
The Maximum Principle for Optimal Control Problems with Time Delays. IFAC-PapersOnLine, vol.49, pp.951-955, 2016. ,
Reduction of delayed optimal control problems to nondelayed problems, Journal of Optimization Theory and Applications, vol.18, issue.3, pp.371-377, 1976. ,
,
Statistical effects of lane allocation on times in running races, Journal of the Royal Statistical Society: Series D (The Statistician, vol.46, issue.1, pp.101-104, 1997. ,