Sentence examples for two branches of solutions from inspiring English sources

As ϵ increases two branches of solutions emerge from the solutions in the homogeneous case, which widen for larger values of ϵ.

We identify how the saddle-node bifurcations separating the two branches of solutions vary as a function of parameters, such as θp.

Two branches of stable solutions are present, both corresponding to tonic spiking, and one or more stable tonic spiking solutions exist for all (c_{mathrm{tot}}) values, while the bursting branch that was found in the original system no longer exists in this case.

More precisely, in [29, 31] the existence of two branches of T-periodic solutions was proved.

The existence of at least two branches of T-periodic solutions originating from x 0 is shown in [12, 13] and their stability, in the sense of Lyapunov, follows from the results of [14, 15].

The model is also extended to unsteady conditions with acceleration and simplified by employing a single stability criterion, which identifies choking as a jump between two branches of the stable solution.

There are six branches of tropical solutions of the system (27), (28), (29).

Of course, results presented in this paper using connected solution will only use two branches of diversity but results could be extended to larger cases.

Two branches of the same diseased tree.

Zosterophylls generally showed dichotomous branching -- each stem dividing into two branches of equal size.

The two branches of GFSK systems only need to create two instances of the single branch.