To ease analysis and simulation we make low-dimensional models of complicated dynamical systems. Centre manifold theory provides a systematic basis for the reduction of dimensionality from some detailed dynamical prescription down to a relatively simple model. An initial condition for the detailed dynamics also has to be projected onto the low-dimensional model, but has received scant attention...

The 5th order nonlinear resonance was studied at SRRC's electron storage ring, which has working tunes around νx = 7.23 and νy = 4.17. This resonance is interesting due to the possible systematic errors from its 6-fold symmetry lattice design. In order to understand the dynamics of resonance and effects of betatron decoherence and linear coupling, experiments have been performed using the 2-BPM...

Chiral symmetry serves as a guiding principle in low-energy hadron dynamics. An effective lagrangian, which explicitly breaks chiral symmetry via a small mass term, allows for a systematic method of calculating higher order corrections to tree-level results. This is applied to radiative muon capture on hydrogen, and to proton-proton π 0 production near threshold. Both processes pose theoretical...

Genetic regulatory networks are families of biochemically interacting genes that regulate most functions of a living cell via the synthesis of proteins and other essential molecules. In this paper we introduce a piecewise deterministic model of genetic network and devise a systematic procedure for the identification of the model parameters from experimental observations of the protein concentra...

A systematic method for approximating the ab initio electronic energy of crystal lattices has been improved by the incorporation of long range electrostatic and dispersion interactions. The effect of these long range interactions on the optimization of the crystal structure is reported. The harmonic lattice dynamics have been evaluated to give phonon frequencies and neutron scattering intensiti...

This article investigates the control of a two degree-of-freedom aeroelastic system with a torsional stiffness nonlinearity. The dynamics are transformed into a Linear Fractional Representation (LFR) such that the nonlinear effects of airspeed on the dynamics act as a gain feedback to the nominal system. A controller in LFR, which allows it to schedule with airspeed, is then synthesised using L...

The 2014 epidemic of the Ebola virus is governed by a genetically diverse viral population. In the early Sierra Leone outbreak, a recent study has identified new mutations that generate genetically distinct sequence clades [1]. Here we find evidence that major Sierra Leone clades have systematic differences in growth rate and reproduction number. If this growth heterogeneity remains stable, it ...

With the popularization of networks, digitalization and automation, demand for enterprise informatization becomes more urgent. There are many factors leading to the demand for EIS. Some of the factors are from enterprise development, while others are from policy driven. In this paper, we present a relationship model by using system dynamics method to characterize the causeresult (C-R) of demand...

The 2014 epidemic of the Ebola virus is governed by a genetically diverse viral population. In the early Sierra Leone outbreak, a recent study has identified new mutations that generate genetically distinct sequence clades [1]. Here we find evidence that major Sierra Leone clades have systematic differences in growth rate and reproduction number. If this growth heterogeneity remains stable, it ...