Chimera states are complex spatiotemporal patterns in networks of identical oscillators, characterized by the coexistence of synchronized and desynchronized dynamics. Here we propose to extend the phenomenon of chimera states to the quantum regime, and uncover intriguing quantum signatures of these states. We calculate the quantum fluctuations about semiclassical trajectories and demonstrate th...

We demonstrate that waves in distinct layers of a neuronal network can become phase locked by common spatiotemporal noise. This phenomenon is studied for stationary bumps, traveling waves, and breathers. A weak noise expansion is used to derive an effective equation for the position of the wave in each layer, yielding a stochastic differential equation with multiplicative noise. Stability of th...

Neocortical neuronal activity is characterized by complex spatiotemporal dynamics. Although slow oscillations have been shown to travel over space in terms of consistent phase advances, it is unknown how this phenomenon relates to neuronal activity in other frequency bands. We here present electrocorticographic data from three male and one female human subject and demonstrate that gamma power i...

Many systems in biology and chemistry are oscillatory, with a stable, spatially homogeneous steady state which consists of periodic temporal oscillations in the interacting species, and such systems have been extensively studied on in"nite or semi-in"nite spatial domains. We consider the effect of a "nite domain, with zero-#ux boundary conditions, on the behaviour of solutions to oscillatory re...

Visual context shapes human perception, yet our understanding of this phenomenon in terms of synaptic circuitry is still rudimentary. Our in vitro experiments with avian tectum reveal two distinct GABAergic pathways that mediate the spatiotemporal tectal interaction of retinal inputs. One pathway mediates postsynaptic lateral inhibition. The other pathway interacts with the synaptic depression ...

The circuit recently proposed by Murali, Lakshmanan and Chua (MLC) is one of the simplest nonautonomous nonlinear electronic circuits which show a variety of dynamical phenomena including various bifurcations, chaos and so on. In this paper we study the spatiotemporal dynamics in oneand two-dimensional arrays of coupled MLC circuits both in the absence as well as in the presence of external per...

Spatiotemporal data model, which is the basis of spatiotemporal information management, deals with the representation and manipulation of spatiotemporal data. So far many spatiotemporal data models have been proposed, but most of them concentrated on the representation of spatiotemporal objects and few of them make systematic studies on spatiotemporal relationships. Based on the semantics of sp...

We address the collective dynamics of non-Brownian particles cruising in a confined microfluidic geometry and provide a comprehensive characterization of their spatiotemporal density fluctuations. We show that density excitations freely propagate at all scales, and in all directions even though the particles are neither affected by potential forces nor by inertia. We introduce a kinetic theory ...

We show that spatiotemporal noise acting on the illumination intensity of an excitable photosensitive Belousov–Zhabotinskii medium, modelled by the diffusively coupled two-component Oregonator kinetics, is able to extract a characteristic spatial frequency of the system in a resonant manner. We emphasize that thereby the system is locally initiated from steady state excitable conditions so the ...

Models involving elds often rely on details of a spatiotemporal scale range that is considered relevant to a particular phenomenon. We propose a generic representation for classical IR-valued scalar and density elds incorporating scale a priori . To this end a eld is embedded into a causal, versal family with scale as the control parameter, such that no scale bias is introduced and physical con...