We investigate the stability and nonlinear local dynamics of spectrally stable wave trains in reaction-diffusion systems. For each $N\in\mathbb{N}$, such $T$-periodic traveling waves are easily seen to be nonlinearly asymptotically (with asymptotic phase) with exponential rates decay when subject $NT$-periodic, i.e., subharmonic, perturbations. However, both allowable size perturbations depend ...

The inverse dynamics approach is commonly adopted in a human gait analysis. Displacements of the human body segments and ground reaction forces are known from measurements. The joint reaction forces and muscle net torques (which cannot be measured directly) are calculated. Since the ground reaction forces are known it is not necessary to model the foot-ground contact. The inverse dynamics appro...

A proton transfer reaction in a linear hydrogen-bonded complex dissolved in a polar solvent is studied using mixed quantum-classical Liouville dynamics. In this system, the proton is treated quantum mechanically and the remainder of the degrees of freedom is treated classically. The rates and mechanisms of the reaction are investigated using both adiabatic and nonadiabatic molecular dynamics. W...

Heating of a ruthenium surface on which carbon monoxide and atomic oxygen are coadsorbed leads exclusively to desorption of carbon monoxide. In contrast, excitation with femtosecond infrared laser pulses enables also the formation of carbon dioxide. The desorption is caused by coupling of the adsorbate to the phonon bath of the ruthenium substrate, whereas the oxidation reaction is initiated by...