Learning and data clustering with an RBF-based spiking neuron network Natacha Gueorguieva a , Iren Valova b & Georgi Georgiev c a Computer Science , CSI/City University of New York , 2800 Victory Boulevard, Staten Island, NY 10314, USA b Computer Science , University of Massachusetts Dartmouth , 285 Old Westport Road, N. Dartmouth, MA 02747, USA c Computer Science , University of Wisconsin Oshk...

Numerical simulations of re-entrant waves in detailed ionic models reveal a phenomenon that is impossible in traditional simplified mathematical models of FitzHugh-Nagumo type: dissipation of the excitation front (DEF). We have analysed the structure of three selected ionic models, identified the small parameters that appear in non-standard ways, and developed an asymptotic approach based on th...

The S1 state dynamics of methoxy methylcinnamate (MMC) has been investigated under supersonic jet-cooled conditions. The vibrationally resolved S1-S0 absorption spectrum was recorded by laser induced fluorescence and mass-resolved resonant two-photon ionization spectroscopy and separated into conformers by UV-UV hole-burning (UV-UV HB) spectroscopy. The S1 lifetime measurements revealed differe...

Atomic multipole moments associated with a spherical volume fully residing within a topological atom (i.e., the β sphere) can be obtained analytically. Such an integration is thus free of quadrature grids. A general formula for an arbitrary rank spherical harmonic multipole moment is derived, for an electron density comprising Gaussian primitives of arbitrary angular momentum. The closed expres...

Quasi-saddles or inherent saddles of the potential energy surface, U , of a liquid are defined as configurations which correspond to absolute minima of the pseudo-potential surface, W = |∇U |, as identified by a multi-dimensional minimisation procedure. The sensitivity of statistical properties of inherent saddles to the convergence criteria of the minimisation procedure is investigated using, ...

There are many ways to generate a set of nodes on the sphere for use in a variety of problems in numerical analysis. We present a survey of quickly generated point sets on S2, examine their equidistribution properties, separation, covering, and mesh ratio constants and present a new point set, equal area icosahedral points, with low mesh ratio. We analyze numerically the leading order asymptoti...

The concept and desiderata of an evidence-based entrepreneurship (EBE) is discussed as a strategy to overcome the gap between knowledge developed in the field of entrepreneurship and its use in practice. Evidence constitutes the best summary of knowledge based on several sources of information (several studies, several different research groups, several different methodological approaches, amon...

We present a comparison between the di€erent methods reported in the literature to experimentally determine the electron mobility in the channel of a MOSFET. In order to accurately obtain the mobility for use in an I±V model a suitable determination of inversion charge and electric potential is shown to be relevant. Numerical simulation is demonstrated to be a powerful tool to carry out mobilit...

In this work the nature and stability of patterns arising from parametric squarewave forcing of an inviscid fluid layer of infinite depth are investigated. Specifically the case of vertically shaken fluids is considered. Beginning with the non-linear PDE’s of the Zhang-Viñals Model of a fluid surface under small perturbations, it is shown how a linear, second order ODE damped Mathieu equation a...