We show that firing activity (spiking) can be regularized by noise in a FitzHugh-Nagumo (FHN) neuron model when operating slightly beyond the supercritical Hopf bifurcation (in the "canard" region). We also provide the conditions for imperfect phase locking between interspike intervals and low amplitude quasiharmonic oscillations. For the imperfect phase locking no need exists of an external si...

BACKGROUND Fitz-Hugh-Curtis syndrome or acute perihepatitis is considered a rare complication of pelvic inflammatory disease, mostly associated with chlamydial or gonococcal salpingitis. Peritoneal tuberculosis is a rare site of extra-pulmonary infection caused by Mycobacterium tuberculosis. Infection usually occurs after reactivation of latent tuberculous foci in the peritoneum and more seldom...

Andrews and Curtis have conjectured that every balanced presentation of the trivial group can be transformed into a standard presentation by a finite sequence of elementary transformations. It can be difficult to determine whether or not the conjecture holds for a particular presentation. We show that the utility PEACE, which produces proofs based on Todd-Coxeter coset enumeration, can produce ...

A new highly accurate numerical approximation scheme based on a Gauss type Clenshaw-Curtis quadrature for Fredholm integral equations of the second kind

We present here the explicit parametric solutions of second order differential equations invariant under time translation and rescaling and third order differential equations invariant under time translation and the two homogeneity symmetries. The computation of first integrals gives in the most general case, the parametric form of the general solution. For some polynomial functions we obtain a...

The problem of how to reconstruct the parameters of a stochastic nonlinear dynamical system when they are time-varying is considered in the context of online decoding of physiological information from neuron signaling activity. To model the spiking of neurons, a set of FitzHugh-Nagumo (FHN) oscillators is used. It is assumed that only a fast dynamical variable can be detected for each neuron, a...

This paper describes how IS offshoring organisations are changing in response to increased globalisation of the practice of software development. It posits the emergence of a new form of multinational enterprise (MNE), described in this paper as a ‘modern heterarchy’, from the construct of the heterarchy originally developed by Gunnar Hedlund in 1986. The paper draws on theoretical antecedents ...