The time courses of solution curves for different choices of inputs or parameter values are obtained by solving the ODEs in MatLab (Mathworks, Natick, MA, USA).
Other prototypical courses of solutions take place for instance when the initial conditions affect the activator over a larger area, but only in the middle of the area; the value is high enough to start a solution.
In Figs. 6, 7, and 8, we have included a little "bestiary" to illustrate the typical courses of solutions in the respective clusters and their change upon varying the parameter β 0, the initial conditions for solutions 1 4 in these figures are always the same.
The volume ratio of the composite material is found after the size of the equivalent circular inhomogeneity is defined in the course of the solution procedure.
Changing course of periodic solution of the system and its complex nonlinear dynamic characteristics are revealed through bifurcation diagrams and phase trajectory diagrams.
Of course, the solution of (4.7) satisfies the conditions of Theorem 4.1 in an application to the case in which U = U ( i ).
Of course, the solution of multiplexing creates temporal windows of visual persistence, during which only a limited number of objects can be processed.
Of course, the solution of such general epistemological problems is beyond the scope of this article.
A stellar surface changes throughout the course of an iterative solution, potentially stalling the convergence.
During the course of incubation, the solution was periodically sampled for absorption spectral measurement at room temperature.
