The geometric structure of nite-dimensional nonlinear systems with dynamics on multiple time-scales is studied by analyzing the time-scale structure present in the associated linear variational system which evolves on the tangent bundle to the state-space. As a rst step, we restrict our attention to a chosen reference orbit of the nonlinear system and analyze the time scales of the linear time-...

We investigate parallelizable schemes for simulating dynamics of conservative systems admitting a decomposition into weakly coupled subsystems. A new method, related to Reversible Averaging [20], is introduced for constrained and unconstrained dynamics. Stability issues are discussed.

Adaptive control of nonlinear systems has been an active area in recent years, but it is difficult to control unknown plants. A common approach to deal with this problem is to utilize the simultaneous identification technique. Neural networks have been employed in the identification and control of unknown nonlinear systems owing to their massive parallelism, fast adaptation and learning capabil...

We present a variant of the HMC algorithm with mass preconditioning (Hasenbusch acceleration) and multiple time scale integration. We have tested this variant for standard Wilson fermions at β = 5.6 and at pion masses ranging from 380MeV to 680MeV. We show that in this situation its performance is comparable to the recently proposed HMC variant with domain decomposition as preconditioner. We gi...

It is known that stray radio frequency signals can produce nonlinear effects that disrupt the operation of circuits, but the mechanisms by which this disruption occurs are not well known. In this paper, an emitter coupled Schmitt trigger circuit is driven with a high-frequency signal to look for disruptive effects. As the circuit makes a transition between mode locked states (period 2 and perio...

Canonical ensemble molecular dynamics simulations of liquid methanol, modeled using a rigidbody, pair-additive potential, are used to compute static distributions and temporal correlations of tagged molecule potential energies as a means of characterising the liquid state dynamics. The static distribution of tagged molecule potential energies shows a clear multimodal structure with three distin...

Real-time traffic processes, such as video, exhibit multiple time scale characteristics, as well as subexponential first and second order statistics. We present recent results on evaluating the asymptotic behavior of a network multiplexer that is loaded with such processes.

We study the problem of statistical multiplexing of cell streams which have correlations at multiple time-scales. Each stream is modeled by a singularly perturbed Markovmodulated process with some state transitions occurring much more infrequently than others. We develop a set of large deviations results to estimate the buffer overflow probabilities in various asymptotic regimes in the buffer s...

Canonical ensemble molecular dynamics simulations of liquid methanol, modeled using a rigid-body, pair-additive potential, are used to compute static distributions and temporal correlations of tagged molecule potential energies as a means of characterizing the liquid state dynamics. The static distribution of tagged molecule potential energies shows a clear multimodal structure with three disti...