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We first analyze the existence of Nash equilibria in a symmetric two-company competition case.
In this paper, we analyze the existence of Hopf bifurcation in an extended Lorenz system.
Next, we will analyze the existence, uniqueness, and regularity of the solution of (2.7).
In the next section, we analyze the existence of the Hopf bifurcation.
Participants, after receiving proper instructions, perform some pointing tasks to analyze the existence of disorientation.
In Section 3, we analyze the existence and stability of disease-free and endemic equilibrium points.
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It is designed through analyzing the existence of finite steady state operating point.
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.
One analyzed the existence and uniqueness of solutions for (1.4) and found an exponential convergence to the mean value of the initial condition.
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