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In this talk, we first briefly review history of the geometric singular perturbation theory, then talk about the traveling pulses for a diffusive Rosenzweig MacArthur model. We show the existence of t...
The paper presents a novel hydraulic fracturing model for the characterization and simulation of the complex fracture network in shale gas reservoirs. We go beyond the existing method that uses planar...
Dissecting the Phase Response of a Model Bursting Neuron     phase response  isochron  multiple time-scales       font style='font-size:12px;'> 2015/8/25
We investigate the phase response properties of the Hindmarsh–Rose model of neuronal bursting using burst phase response curves (BPRCs) computed with an infinitesimal perturbation approximation and ...
This paper presents a detailed analysis of mixed-mode oscillations in the “autocatalator,” a threedimensional, two time scale vector field that is a chemical reactor model satisfying the law of mass ...
We consider the fundamental problem of estimating the mean of a vector y = Xβ + z, where X is an n× p design matrix in which one can have far more variables than observations and z is a stochastic err...
Exact solution of some new planar polygon models. Plus aspects of a ”new” SAW model.
This paper developed a DOE-based automatic process control scheme considering both observation and modeling uncertainties. The simulation demonstrates that considering the uncertainties, automatic...
Forecasts covering one month using a cut-cell model     cut-cell model  Forecasts covering       font style='font-size:12px;'> 2014/12/12
This paper investigates the impact and potential use of the cut-cell vertical discretisation for forecasts covering five days and climate simulations.
Breathing is a vital process providing the exchange of gases between the lungs and atmosphere. During quiet breathing, pumping air from the lungs is mostly performed by contraction of the diaphragm du...
We give an example of a well posed, nite energy, 2D incompressible active scalar equation with the same scaling as the surface quasi-geostrophic equation and prove that it can produce nite time sing...
A geometric model of tube categories     A geometric model  tube categories       font style='font-size:12px;'> 2010/11/9
We give a geometric model for a tube category in terms of homotopy classes of oriented arcs in an annulus with marked points on its boundary. In particular, we interpret the dimensions of extension gr...
We compute the quantum isometry group of the finite noncommutative geometry F describing the internal degrees of freedom in the Standard Model of particle physics. We show that this provides genuine...
We develop a generalization of the Black-Cox structural model of default risk. The extended model captures uncertainty related to firms ability to avoid default even if companys liabilities momentaril...
2006Vol.45No.2pp.255-258DOI: Pseudo-invariant Eigen-operator for Deriving Energy-Level Gap for Jaynes-Cummings Model FAN Hong-Yi1,2 and DA Cheng3 1 Department of Physics...
We consider the concept of a q-circular system, which is a deformation of the circular system from free probability, taking place in the framework of the so-called 'q-commutation relations'. We show ...

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