Figure 1: Scroll wave turbulence developed from a scroll with a curved filament. Simulation of FitzHugh-Nagumo model in 3D, parameters as in (Biktashev 1998). Red surfaces are fronts (u=0,v<0) blue surfaces are backs (u=0,v>0) of excitation waves, and yellow lines are singularities (u=0,v=0)rotating around slowly moving scroll filaments, where u,v are respectively the activator and inhibitor fi...

We propose a technique to make a robot execute free and solitary dance movements on music, in a manner which simulates the dynamic alternations between synchronisation and autonomy typically observed in human behaviour. In contrast with previous approaches, we preprogram neither the dance patterns nor their alternation, but rather build in basic dynamics in the robot, and let the behaviour emer...

In this work, we aim at giving a first proof of concept to address the estimation of synaptic conductances when a neuron is spiking, a complex inverse non-linear problem which is an open challenge in neuroscience. Our approach is based on a simplified model of neuronal activity, namely a piecewise linear version of the FitzHugh-Nagumo model. This simplified model allows a precise knowledge of t...

The effective noise intensity D that is used to evaluate theoretical value of 〈C1〉 throughout the original paper is inaccurate. In Sec. III A, we derived the piecewise-linear FitzHugh-Nagumo (plFHN) neuron model, and we introduced the noise scaling ξ (t) → 7τξ (t̃) in correspondence with the time scaling t → 7τ t̃ . However, the noise should be scaled as ξ (t) → √7τξ (t̃). Therefore, the plFHN neu...

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...

An analytical mechanism that support localized spatio-temporal chaos is provided. We consider a simple model-the Nagumo Kuramoto model-which contains the crucial ingredients for observing localized spatio-temporal chaos, namely, the spatio-temporal chaotic pattern and its coexistence with a uniform state. This model allows us to unveil the front dynamics and to show that it can be described by ...

An electrophysiological experiment showed that spike timing was precise to less than one millisecond. This result indicates the possibility in the precise time codings. For a high accurate time coding, reconsideration of a neural mechanism which decides firing time is required. From such viewpoint, we quantitatively examined change in firing time with interference between two synaptic inputs th...

We analyze the influence of an external sound source in a network FitzHugh-Nagumo oscillators with empirical structural connectivity measured healthy human subjects. report synchronization patterns, induced by frequency source. show that level synchrony can be enhanced choosing and its amplitude as control parameters for patterns. discuss minimum model elucidating modalities music on brain.

Propagation of pulses in myelinated fibers may be described by appropriate solutions of spatially discrete FitzHugh-Nagumo systems. In these systems, propagation failure may occur if either the coupling between nodes is not strong enough or the recovery is too fast. We give an asymptotic construction of pulses for spatially discrete FitzHugh-Nagumo systems which agrees well with numerical simul...