This paper shows a simple approach to predicting, controlling and damping inter-area mode oscillations. In the case of a stable operating point with a poorly damped oscillatory mode, the objective is to increase the damping of that mode. That is, the power system linearization at the operating point is modified. Operator actions such as redispatch, varying load, varying reactive power (voltage)...

We show for the first time that only one similarity solution describes break-up of viscous liquid threads is linearly stable, while other solutions are unstable. Complex eigenvalues lead to presence oscillations close break-up.

A class of mathematical models involving a convection-reaction partial differential equation (PDE) is introduced with reference to recovering human granulopoiesis after high dose chemotherapy with stem cell support. The stability properties of the model are addressed by means of numerical investigations and analysis. A simplified model with proliferation rate and mobilization rate independent o...

In the course of his work on the analysis of genetic regulatory networks represented by signed directed graphs, R. Thomas has proposed that the occurrence of a positive regulatory circuit is a necessary condition for the occurrence of multiple stable states, whereas a negative circuit is necessary to generate stable oscillations. Here, we enunciate and demonstrate one theorem establishing these...

It is shown here that the Solow (1956) neo-classical growth paradigm not only explains the “first” stylised fact of economic growth, namely the existence of a globally stable state of balanced growth, but, once endowed with a demographically founded formulation of the labour supply, is also capable to endogenously explain a second main stylised fact of growth, i.e., the generation of globally s...

The small oscillations of solitons in 2D Bose-Einstein condensates are investigated by solving the Kadomtsev-Petviashvili equation which is valid when the velocity of the soliton approaches the speed of sound. We show that the soliton is stable and that the lowest excited states obey the same dispersion law as the one of the stable branch of excitations of a 1D gray soliton in a 2D condensate. ...

Neuronal oscillations play a key role in auditory perception of verbal input, with the oscillatory rhythms of the brain showing synchronization with specific frequencies of speech. Here we investigated the neural oscillatory patterns associated with perceiving native, foreign, and unknown speech. Spectral power and phase synchronization were compared to those of a silent context. Power synchron...

An adaptive network model using SIS epidemic propagation with link-type-dependent link activation and deletion is considered. Bifurcation analysis of the pairwise ODE approximation and the network-based stochastic simulation is carried out, showing that three typical behaviours may occur; namely, oscillations can be observed besides disease-free or endemic steady states. The oscillatory behavio...

Constantly bombarded with input, the brain has the need to filter out relevant information while ignoring the irrelevant rest. A powerful tool may be represented by neural oscillations which entrain their high-excitability phase to important input while their low-excitability phase attenuates irrelevant information. Indeed, the alignment between brain oscillations and speech improves intelligib...

Control-related cognitive processes are associated with cortical oscillations and modulated by catecholamine neurotransmitters. It remains unclear how catecholamine systems modulate control-related oscillations. We tested modafinil effects on rule-related 4-30 Hz oscillations, with double-blind, placebo-controlled (within-subjects) testing of 22 healthy adults, using EEG during cognitive contro...