Sentence examples for analyzed the existence from inspiring English sources

Llibre and Valls analyzed the existence of the first integral locally and globally for Chua's system [34].

Firstly, we analyzed the existence and stability of equilibria for the system and proved the existence of forward and backward bifurcations.

And we specially analyzed the existence and stability of the Schrödingerean Hopf bifurcation by using the center manifold theorem and the bifurcation theory.

Benchaabane and Sakthivel [19] analyzed the existence and uniqueness of mild solutions for a class of Sobolev-type fractional stochastic differential equations using Picard's iteration.

One analyzed the existence and uniqueness of solutions for (1.4) and found an exponential convergence to the mean value of the initial condition.

Also, Kumar et al. [45] analyzed the existence of solutions for FDE with NII in Banach spaces through the utilization of the appropriate FPT.

In the next section, we analyze the existence of the Hopf bifurcation.

It is designed through analyzing the existence of finite steady state operating point.

We first analyze the existence of Nash equilibria in a symmetric two-company competition case.

Next, we will analyze the existence, uniqueness, and regularity of the solution of (2.7).

In this paper, we analyze the existence of Hopf bifurcation in an extended Lorenz system.