FREQUENCY RESPONSE IN REACTING SYSTEMS

Equilibrium in Multiphase Reacting Systems

Molecular Simulation of Reacting Systems

The final report for a Laboratory Directed Research and Development project entitled, Molecular Simulation of Reacting Systems is presented. It describes efforts to incorporate chemical reaction events into the LAMMPS massively parallel molecular dynamics code. This was accomplished using a scheme in which several classes of reactions are allowed to occur in a probabilistic fashion at specified...

Approximating the Frequency Response of Contractive Systems

We consider contractive systems whose trajectories evolve on a compact and convex state-space. It is well-known that if the time-varying vector field of the system is periodic then the system admits a unique globally asymptotically stable periodic solution. Obtaining explicit information on this periodic solution and its dependence on various parameters is important both theoretically and in nu...

Frequency response of sampled-data systems

This paper introduces the concept of frequency response for sampled-data systems, and explores some basic properties as well as its computational procedures. It is shown that i) by making use of the lifting technique the notion of frequency response can be naturally introduced to sampled-data systems in spite of their time-varying characteristics, ii) it represents a frequency domain steady sta...

Conditioned Frequency Response Estimators for Nonlinear Systems

Conventional frequency response estimation methods such as the "H1" and "H2" methods often yield measured frequency response functions which are contaminated by the presence of nonlinearities and hence make it difficult to extract underlying linear system properties. To overcome this deficiency, a new spectral approach for identifying multi-degree-of-freedom nonlinear systems excited by Gaussia...