Sentence examples for has equilibria from inspiring English sources

First we show that the discrete model has equilibria which are exactly the same as those of the continuous model.

Let λ = 0 in equation (3.2) and we get the equation θ ′ = ( p − 1 ) | sin p θ | p ∗, which has equilibria θ = k π p, k ∈ Z.

Depending on the number of colors and the size of two parameters called the threshold and range, the Greenberg-Hastings model either dies out, or has equilibria that consist of "debris" or "fire fronts".

A crucial observation regarding the advantage of the NSFD scheme is that the discrete model has equilibria which are exactly the same as those of the original continuous model, and the conditions for their stability are identical in case of both the continuous and discrete models.

In his paper, Starr studied a convexified economy, in which non-convex sets were replaced by their convex hulls; Starr proved that the convexified economy has equilibria that are closely approximated by "quasi-equilibria" of the original economy; moreover, he proved that every quasi-equilbrium has many of the optimal properties of true equilibria, which are proved to exist for convex economies.

Additionally, utility functions that lead to linear marginal utility also have equilibria with equal prices.

From the proof of Theorem 3.1, α ( q ) may be either bounded or unbounded, and also α ( q ) may have equilibria (see [4]).

Systems that have equilibria at several levels occasionally switch between them [ 10].

Interestingly, the carbon- and silicon-containing rhodamine analogs have equilibria that are shifted toward the closed lactone form.

In this particular case that game has two equilibria, (send, Spence, Spence) and (send, Gaddis, Gaddis).

has two equilibria, where is fixed.