We describe a structure of model for shortterm swing dynamics of multi-machine power grids, exhibiting an instability phenomenon termed the Coherent Swing Stability (CSI). This model is based on the swing equations with a linear term representing the interconnection between synchronous machines in a power grid. We analyze the New England 39-bus test system exhibiting CSI and show that the pheno...

A remarkable phenomenon in turbulent flows is the spontaneous emergence of coherent large spatial scale zonal jets. Geophysical examples of this phenomenon include the Jovian banded winds and the Earth’s polar front jet. In this work a comprehensive theory for the interaction of jets with turbulence, Stochastic Structural Stability Theory, is applied to the problem of understanding the formatio...

Community networks, the distinguishing feature of which is membership admittance, appear on P2P networks, social networks, and conventional Web networks. Joining the network costs money, time or network bandwidth, but the individuals get access to special resources owned by the community in return. The prosperity and stability of the community are determined by both the policy of admittance and...

The construct of alexithymia as a vulnerability factor for substance use disorders (SUD) is under debate, because of conflicting research results regarding alexithymia as a state or trait phenomenon. The absolute and relative stability of alexithymia were evaluated in a pre-post design as part of a randomised controlled trial, controlling for several co-variates. Assessments were done with the ...

in this paper, the performance of two types of facts devices in order to enhance the power system static voltage stability has been investigated. these devices include static var compensator (svc) and thyristor controlled series capacitor (tcsc). the modeling of the single machine infinite bus (smib) and aforesaid devices has been made up in steady state mode with disregarding of the generator ...

We show that dissipative systems can have a multiplicity of stationary solutions in the form of both stable and unstable solitons. As a model equation, we use the complex cubic–quintic Ginzburg–Landau equation. For a given set of the equation parameters, this equation has many coexisting soliton solutions. Our stability results show that although most of them are unstable, they can have stable ...

In this paper we consider the problem of the existence and stability of invariant manifolds in a network of diffusively coupled identical systems. It is shown that the existence of a symmetry in the network implies the existence of linear invariant manifolds. This correspond to so called partial synchronization, or clusterization, a phenomenon occurring when some subsystems from the network ope...

We review spectral methods for the solution of hyperbolic problems. To keep the discussion concise, we focus on Fourier spectral methods and address key issues of accuracy, stability, and convergence of the numerical approximations. Polynomial methods are discussed when these lead to qualitatively different schemes as, for instance, when boundary conditions are required. The discussion includes...

The goal of this paper is to formulate and solve structural optimization problems with constraints on the global stability of the structure. The stability constraint is based on the linear buckling phenomenon. We formulate the problem as a nonconvex semidefinite programming problem and introduce an algorithm based on the Augmented Lagrangian method combined with the Trust-Region technique. The ...

The packing stability in symplectic geometry was first noticed by Biran [Bir97]: the symplectic obstructions to embed several balls into a manifold disappear when their size is small enough. This phenomenon is known to hold for all closed manifolds with rational symplectic class (see [Bir99] for the 4-dimensional case, and [BH11, BH13] for higher dimensions), as well as ellipsoids [BH13]. In th...