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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.
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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).
An important feature of the present formulation for the diffusion reaction problem is that the reaction term is linearized during the course of solution.
The application time courses of the control solution (BATH), GABA, bicuculline (BICC) and selamectin (Sela) are indicated by horizontal bars in the figure.
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, there are examples of solutions to meet these challenges.
Of course, the good news of solutions in not all these experts tell us.
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.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com