Sentence examples for system admits a from inspiring English sources

An excitable system admits a stable state but may be destabilized by small perturbations.

However, numeric simulation (Figure 8) also shows that the system admits a unique positive equilibrium, which is globally attractive.

By Lemma 2.4, the system admits a unique uniformly asymptotically stable almost periodic solution ((x t),y(t))^{T}).

However, the system admits a constant of motion and the level curves are closed trajectories surrounding the fixed point.

Then, by applying the iterative technique, we also show that the system admits a unique globally attractive positive equilibrium.

The system admits a unique solution, if x n″,x n and x n′ are not collinear.

We prove a result ensuring the existence of an almost automorphic solution for both equations, assuming that the associated homogeneous equation of this system admits an exponential dichotomy.

First, it is shown that using an output transformation, the system admits an observer form which leads to an observer with linear error dynamics.

We will assume that the system admits an attracting hyperbolic periodic orbit (namely one zero Floquet exponent and the others having negative real part), with period Δ, such that u ( t ) = u ( t + Δ ).

We argue that for independent Gaussian weights in low enough temperature the large-scale behavior of the system admits an accurate description in terms of a winner-take-all type dynamics which can be used for showing that the resulting graph of charge transfers, referred to as the spike flow graph in the sequel, has scale-free properties with power law exponent γ= 2.

In this respect, Amster et al. [6] studied boundary value problems for dynamic systems and proved the existence of solutions via topological degree theory; Lizama and Mesquita [7] considered nonautonomous dynamic equations and proved the existence of almost automorphic solutions by assuming that the associated homogeneous equation of the system admits an exponential dichotomy.