Electronic Research Archive最新文献

In the digital era, human-robot interaction is rapidly expanding, emphasizing the need for social robots to fluently understand and communicate in multiple languages. It is not merely about decoding words but about establishing connections and building trust. However, many current social robots are limited to popular languages, serving in fields like language teaching, healthcare and companionship. This review examines the AI-driven language abilities in social robots, providing a detailed overview of their applications and the challenges faced, from nuanced linguistic understanding to data quality and cultural adaptability. Last, we discuss the future of integrating advanced language models in robots to move beyond basic interactions and towards deeper emotional connections. Through this endeavor, we hope to provide a beacon for researchers, steering them towards a path where linguistic adeptness in robots is seamlessly melded with their capacity for genuine emotional engagement.

We study the Benjamin-Bona-Mahony model with finite distributed delay in 3D, which depicts the dispersive impact of long waves. Based on the well-posedness of model, the family of pullback attractors for the evolutionary processes generated by a global weak solution has been obtained, which is unique and minimal, via verifying asymptotic compactness in functional space with delay $ C_V $ and topological space $ Vtimes C_V $, where the energy equation method and a retarded Gronwall inequality are utilized.

A two-degree-of-freedom vehicle wheel-rail impact vibration system model is developed, and the equivalent impact stiffness and damping of the rail are fitted applying ABAQUS, taking into account the high and low irregularity generated by the welded joints of the rail. A wheel-rail periodic interface with fixed impact was selected as the Poincaré map, and the fourth-order Runge-Kutta numerical method with variable step size was used to solve the system response. The dynamic characteristics of the system are investigated using a combination of the Bifurcation diagram, Phase plane diagram, the Poincaré map, the Time-domain diagram and the Frequency-domain diagram. It is verified that the vehicle wheel-rail impact vibration system has Hopf bifurcation, Neimark-Sacker bifurcation, Period-doubling bifurcation and Boundary crisis, and there are rich and complex nonlinear dynamic behavior changes. The research on the bifurcation and chaos characteristics of vehicle wheel-rail impact vibration systems can provide a reference for improving the stability of vehicle operation in engineering practice as well as the prediction and control of chaos in vehicle vibration reduction design.

In this study, we investigate the boundedness, persistence of positive solutions, local and global stability of the unique positive equilibrium point and rate of convergence of positive solutions of the following difference equations systems of exponential forms:

begin{document}$ begin{equation*} Upsilon_{n+1} = frac{Gamma_{1}+delta_{1}e^{-Psi_{n-1}}}{Theta_{1}+Psi_{n}}, Psi_{n+1} = frac{Gamma_{2}+delta_{2}e^{-Omega_{n-1}}}{Theta_{2}+Omega_{n}}, Omega_{n+1} = frac{Gamma_{3}+delta_{3}e^{-Upsilon_{n-1}}}{Theta_{3}+Upsilon_{n}}, end{equation*} $end{document}

begin{document}$ begin{equation*} Upsilon_{n+1} = frac{Gamma_{1}+delta_{1}e^{-Psi_{n-1}}}{Theta_{1}+Upsilon_{n}}, Psi_{n+1} = frac{Gamma_{2}+delta_{2}e^{-Omega_{n-1}}}{Theta_{2}+Psi_{n}}, Omega_{n+1} = frac{Gamma_{3}+delta_{3}e^{-Upsilon_{n-1}}}{Theta_{3}+Omega_{n}}, end{equation*} $end{document}

for $ nin mathbb{N}_{0} $, where the initial conditions $ Upsilon_{-j} $, $ Psi_{-j} $, $ Omega_{-j} $, for $ jin{0, 1} $ and the parameters $ Gamma_{i} $, $ delta_{i} $, $ Theta_{i} $ for $ iin{1, 2, 3} $ are positive constants.

By using the Riccati-Bernoulli (RB) subsidiary ordinary differential equation method, we proposed to solve kink-type envelope solitary solutions, periodical wave solutions and exact traveling wave solutions for the coupled Higgs field (CHF) equation. We get many solutions by applying the Bäcklund transformations of the CHF equation. The proposed method is simple and efficient. In fact, we can deal with some other classes of nonlinear partial differential equations (NLPDEs) in this manner.

In this paper, an adaptive neural network learning based nonsynchronous control method is developed for hidden Markov jump systems with unmodeled nonlinear dynamics. In particular, the system modes are not directly accessible and the limited mode information can be partly estimated by the nonsynchronous controller. More precisely, the mode information with partly accessible transition rates is utilized based on the transition probability matrix. Moreover, the unmodeled nonlinear dynamics are more general in practical applications. Based on the designed mode-dependent controllers with mode observation, sufficient conditions are first exploited by means of the Lyapunov method, such that the desired control performance could be ensured in the mean-square sense. Then, the nonsynchronous mode-dependent controllers are further determined in terms of convex optimization. In the end, our proposed control strategy is applied to a robotic manipulator with varying loads to validate the feasibility with simulation results.

The acquisition of antibiotic resistance due to the consumption of food contaminated with resistant strains is a public health problem that has been increasing in the last decades. Mathematical modeling is contributing to the solution of this problem. In this article we performed the qualitative analysis of a mathematical model that explores the competition dynamics in vivo of ceftiofur-resistant and sensitive commensal enteric Escherichia coli (E. coli) in the absence and during parenteral ceftiofur therapy within the gut of cattle, considering the therapeutic effects (pharmacokinetics (PK)/pharmacodynamics (PD)) in the outcome of infection. Through this analysis, empirical properties obtained through in vivo experimentation were verified, and it also evidenced other properties of bacterial dynamics that had not been previously shown. In addition, the impact of PD and PK has been evaluated.