Sentence examples for point equilibria from inspiring English sources
We (i) characterise saddle point equilibria, (ii) prove that the extent of market coverage is increasing in the network effect and (iii) unlike the existing static literature on the same problem, the monopolist may not make introductory price offers.
The phase portraits of a dissipative dynamical system are characterized by the existence of one or more stable attractors, which typically include point equilibria, periodic oscillations (harmonic and subharmonic), quasi-periodic solutions and chaotic attractors.
Each simulation produced a quasi-stationary state within the 1.000 generation time frame applied, suggesting that the underlying dynamics may admit attracting fixed point equilibria.
In the following investigations we restrict our simulations to interactions that are symmetric (∀ i,j: ω ij = ω ji ) as per competition for shared resources or for competition coefficients estimated from utilisation functions [ 80], in which case the dynamics have only fixed point equilibria [ 81].
As Kruschwitz and Löffler (2009) point out, equilibria need not be unique so that other equilibria may exist that are not consistent with such an allocation.
In this study detailed data describing oxygen vacancy concentrations, obtained at intermediate to high pO2, are interpreted with the aid of point defect equilibria relationships.
Hence, these points are equilibria of node/foci type.
In such settings, spectrum sharing might lead to suboptimal operating points or equilibria [2].
These criteria can be used to verify (the implementation of) the model based on inspection of stationary points or equilibria in the following two different manners.
From the difference or differential equations describing the dynamics for a model it can be analysed when stationary points or equilibria occur.
whether some values for the variables exist for which no change occurs (stationary points or equilibria), and how such values may depend on the values of the parameters of the model and/or the initial values for the variables.
