Symmetry and order parameter dynamics of the human odometer

Bipedal gaits have been classified on the basis of the group symmetry of the minimal network of identical differential equations (alias cells) required to model them. Primary bipedal gaits (e.g., walk, run) are characterized by dihedral symmetry, whereas secondary bipedal gaits (e.g., gallop-walk, gallop- run) are characterized by a lower, cyclic symmetry. This fact has been used in tests of human odometry (e.g., Turvey et al. in P Roy Soc Lond B Biol 276:4309–4314, 2009, J Exp Psychol Hum Percept Perform 38:1014–1025, 2012). Results suggest that when distance is measured and reported by gaits from the same symmetry class, primary and secondary gaits are comparable. Switching symmetry classes at report compresses (primary to secondary) or inflates (secondary to primary) measured distance, with the compression and inflation equal in magnitude. The present research (a) extends these findings from overground locomotion to treadmill locomotion and (b) assesses a dynamics of sequentially coupled measure and report phases, with relative velocity as an order parameter, or equilibrium state, and difference in symmetry class as an imperfection parameter, or detuning, of those dynamics. The results suggest that the symmetries and dynamics of distance measurement by the human odometer are the same whether the odometer is in motion relative to a stationary ground or stationary relative to a moving ground.

Influência do tipo de chuteira em variáveis preditoras do risco de entorse lateral do tornozelo

Introdução: No futebol, a entorse lateral do tornozelo (ELT) destaca-se como sendo a lesão mais prevalente. Potenciada pela variedade de chuteiras disponíveis no mercado e pela crescente utilização de relvados sintéticos, a interação entre o terreno e o calçado tem assumido elevada relevância como fator de risco para a ELT. A maior incidência de lesões na 2ª parte do jogo traduz a necessidade do estudo dessa interação durante tarefas que envolvam fadiga. Objetivo: Estudar a influência das chuteiras em variáveis preditoras do risco de ELT em relvado sintético sob duas condições: sem e com fadiga dos músculos eversores do tornozelo Métodos: Foi utilizada uma amostra de atletas saudáveis. Todos os indivíduos realizaram 3 séries de 5 saltos médio-laterais uni-podálicos, cada uma com 1 de 3 modelos de chuteiras (Turf, Hard e Firm ground) em duas condições: sem e com fadiga induzida pelo dinamómetro isocinético. Durante a tarefa, a atividade eletromiográfica do longo e curto peroniais, o valor das forças de reação do solo e o movimento do retro-pé (plano frontal), foram recolhidos e usados para calcular variáveis cinemáticas (eversão/inversão do tornozelo, o deslocamento e velocidade do centro de pressão), cinéticas (taxa de crescimento das forças de reação do solo) e neuromusculares (tempo de ativação muscular dos peroniais). Resultados: À exceção do tempo de ativação do curto peronial com o modelo Hard ground (sem fadiga vs com fadiga (p=0,050), não foram identificadas diferenças estatisticamente significativas nas variáveis preditoras de lesão, entre chuteiras, nem entre as duas condições avaliadas. Conclusão: Para o teste funcional escolhido e executado por atletas saudáveis em sintético de 3ª geração, nenhuma das chuteiras apresenta maior risco de lesão (com e sem fadiga), tendo em conta as variáveis em estudo.

Effect of plug-filling, Testing velocity and temperature on the tensile strength of strap repairs on aluminium structures

In this work, an experimental study was performed on the influence of plug-filling, loading rate and temperature on the tensile strength of single-strap (SS) and double-strap (DS) repairs on aluminium structures. Whilst the main purpose of this work was to evaluate the feasibility of plug-filling for the strength improvement of these repairs, a parallel study was carried out to assess the sensitivity of the adhesive to external features that can affect the repairs performance, such as the rate of loading and environmental temperature. The experimental programme included repairs with different values of overlap length (L O = 10, 20 and 30 mm), and with and without plug-filling, whose results were interpreted in light of experimental evidence of the fracture modes and typical stress distributions for bonded repairs. The influence of the testing speed on the repairs strength was also addressed (considering 0.5, 5 and 25 mm/min). Accounting for the temperature effects, tests were carried out at room temperature (≈23°C), 50 and 80°C. This permitted a comparative evaluation of the adhesive tested below and above the glass transition temperature (T g), established by the manufacturer as 67°C. The combined influence of these two parameters on the repairs strength was also analysed. According to the results obtained from this work, design guidelines for repairing aluminium structures were

Particle swarm optimization with fractional-order velocity

This paper proposes a novel method for controlling the convergence rate of a particle swarm optimization algorithm using fractional calculus (FC) concepts. The optimization is tested for several well-known functions and the relationship between the fractional order velocity and the convergence of the algorithm is observed. The FC demonstrates a potential for interpreting evolution of the algorithm and to control its convergence.

Effect of fractional orders in the velocity control of a servo system

The application of fractional-order PID controllers is now an active field of research. This article investigates the effect of fractional (derivative and integral) orders upon system's performance in the velocity control of a servo system. The servo system consists of a digital servomechanism and an open-architecture software environment for real-time control experiments using MATLAB/Simulink tools. Experimental responses are presented and analyzed, showing the effectiveness of fractional controllers. Comparison with classical PID controllers is also investigated.

Reply to: Comments on “Particle Swarm Optimization with Fractional-Order Velocity”

We agree with Ling-Yun et al. [5] and Zhang and Duan comments [2] about the typing error in equation (9) of the manuscript [8]. The correct formula was initially proposed in [6, 7]. The formula adopted in our algorithms discussed in our papers [1, 3, 4, 8] is, in fact, the following: ...