Sentence examples similar to long time limits from inspiring English sources

The analysis is limited to two dimensions and assumes quasi-stationary distributions in the long time limit.

Hence, the importance of investigating fractional equations arises from the necessity to sharpen the concepts of equilibrium, stability states, and time evolution in the long time limit.

The response dynamics of the model have been investigated to identify the possible parameter estimation strategies and in order to predict the long time limit behaviour.

The self-similar solutions of the Fokker Planck equation presented here are based on the assumption of quasi-stationary distributions reached in the long time limit.

In addition, steady-state Laplace PDEs can be formulated to produce the homogenized diffusion tensor that describes the diffusion characteristics of the medium in the long time limit.

Then, the cumulant generating function in the long time limit is given by F ( χ ; t ) = λ 0 t, where λ0 denotes the minimum eigenvalue of W that develops adiabatically from 0 with χ.

The approximate solution of the Fokker Planck equation presented here is limited to two dimensions and is based on the assumption of quasi-stationary distributions reached in the long time limit.

In a recent publication an analytical solution of the Fokker Planck continuity equation for the grain size distribution for two-dimensional grain growth in the long time limit (self-similar state) was provided.

Previous applications of the theory of mean action time to estimate the response time use the first two central moments of the probability density function associated with the transition from the initial condition, at t = 0, to the steady state condition that arises in the long time limit, as t→∞.

Since we consider only above-threshold transitions, the notion of Ergodic Set, precisely defined in [12] and [31], has to be modified in that of a Threshold Ergodic Set, that is a set of attractors that entrap the system in the long time limit, so the system continues to jump between attractors belonging to the set.

A possible way out was proposed by Ribeiro and Kauffman [31] who observed that there exist sets of attractors, which they called ergodic sets, which entrap the system in the long time limit, so the system continues to jump between attractors which belong to the set.