By considering inertial effects in a field-dependent relaxational model, we show that noise may induce collective oscillatory dynamics. In agreement with the recently introduced idea of noise-induced multistability, we show that there is a region in parameter space where such behavior depends on the initial condition. Moreover, when the coupling term leads to pattern formation by means of a mor...

As it was shown earlier, oscillatory networks consisting of limit-cycle oscillators interacting via complex-valued c onnec-tions can be u s e d for associative memory design. Phase memory as a special type of associative memory in oscillatory networks has been invented and studied. Detailed analysis of phase memory features of phasor networks related to oscilla-tory networks has been performed....

The authors obtain necessary and sufficient conditions for the existence of oscillatory solutions with a specified asymptotic behavior of solutions to a nonlinear neutral differential equation with distributed delay of third order. We give new theorems which ensure that every solution to be either oscillatory or converges to zero asymptotically. Examples dwelling upon the importance of applicab...

A theoretical framework is developed for a precise control of spatial patterns in oscillatory media using nonlinear global feedback, where a proper form of the feedback function corresponding to a specific pattern is predicted through the analysis of a phase diffusion equation with global coupling. In particular, feedback functions that generate the following spatial patterns are analytically g...

Introduction: It has been shown that intelligence as a general mental ability is related to the structure and function of the brain regions. However, the specificity of these regional dependencies to the intelligence scores in the typical and atypical developed individuals needs to be well understood. In this study, we hypothesized that neural correlates of IQ should not have a fixed pattern ra...

Oscillations in intracellular free calcium concentration ([Ca(2+)](i)) occur spontaneously in immature neurons of the developing cerebral cortex. Here, we show that developing murine cortical neurons exhibit calcium oscillations in response to direct activation of the mGluR5 subtype of the group I metabotropic glutamate receptor (mGluR). In contrast, other manipulations that elicit [Ca(2+)](i) ...

Macroscopic systems with dissipation and time-modulated injection of energy, parametrically driven systems, can self-organize into localized states and/or patterns. We investigate a pulse that travels over a one-dimensional pattern in parametrically driven systems. Based on a minimal prototype model, we show that the pulses emerge through a subcritical Andronov-Hopf bifurcation of the underlyin...

The stability of stratified Rivlin-Ericksen fluid in porous medium in the presence of suspended particles and magnetic field has been investigated. Upon application of normal mode technique, the dispersion relation was obtained. The important results obtained in this paper include the instability of non-oscillatory modes and the stability of oscillatory modes. Also, it was found that the system...

film coating solutions containing different grades of hpmc (e5, e15 and e50) with and without polyethylene glycol (with various molecular weights) were examined by an oscillatory method, using haake cv 100 rheometer. fundamental rheological parameters (?, g? and g² ) were measured over the frequency range from 0.04 to 2 hz. the variation with frequency of the loss tangent (a ratio of viscous to...

The dynamics of a simple prey-predator system is described by a system of two reaction- diffusion equations with biologically reasonable non-linearities (logistic growth of the prey, Holling type II functional response of the predator). We show that, when the local kinetics of the system is oscillatory, for a wide class of initial conditions the evolution of the system leads to the formation of...