Sentence examples for dynamical solutions from inspiring English sources

Lemaître began with a study of the dynamical solutions of Einstein's model (with the cosmological constant included)—that is, those solutions with a cosmic radius that varies with time.

We derive and analyze dynamical solutions for the disequilibria under generalized mixed mating, with any combination of apomixis, selfing, and outcrossing, with and without double reduction.

So the whole solution either blows up or becomes negative, unless there is no contribution corresponding to z 2 in the dynamical solutions.

Free vibration analysis and the severity of mode localization are appraised, without decoupling the system, by considering as a solution basis the fundamental free response or dynamical solution.

It is a difficult task to obtain the dynamical solution in general.

The reason is that although the dynamical solution [29] need not be nonnegative and decreasing in n by itself, the sum of such a solution and the stationary solution can be a complete physical solution to [11] and [12] and hence should satisfy these conditions.

This is accomplished in terms of the dynamical matrix solution of the given system.

However, it is not enough to understand the dynamical structure of solutions of reaction diffusion equations by only considering traveling front solutions.

On the other hand, integrable systems are dynamical systems whose solutions can be written down concretely.

We first consider a variation of stochastic LTL (SLTL) method [D. Roy, M.K. Dash, A novel stochastic locally transversal linearization (LTL) technique for engineering dynamical systems: strong solutions, Appl. Math. Mod.

Figure 4 Dynamical behavior of solutions of system ( 26 ) with (pmb{R_{2}=1.0647>1}).