Sentence examples for by analyzing the characteristic from inspiring English sources

Hopf bifurcations are explored by analyzing the characteristic equations.

Now, by analyzing the characteristic equations we begin to discuss the geometric properties of the equilibria of system (1.1).

By analyzing the characteristic equations we establish the local stability of the disease-free equilibrium and the chronic infection equilibrium in terms of (R_{0}).

For system (2), by analyzing the characteristic equation of four equilibria, we can easily get sufficient conditions of local stability for these equilibria.

In Section 3, we study the existence of Neimark-Sacker and period doubling (flip) bifurcation for this system by analyzing the characteristic equation.

We prove that there exist two bifurcations for this system by analyzing the characteristic equation: (1) Neimark-Sacker bifurcation, (2) period doubling (flip) bifurcation.

By analyzing the characteristics of noise, this paper presents a de-noising method using wavelet transform.

First, batch crystallization was achieved by analyzing the characteristics of this system.

The electrical sensing mechanism of GO films was discussed by analyzing the characteristics of AC complex impedance spectroscopy.

The PT-AE3000 now incorporates a Frame Creation technology that interpolates an additional frame by analyzing the characteristics of two adjacent frames, creating sharp and clear images of fast moving scenes in sports and action movies, especially for large screen viewing.

In this section, we try to understand these trade-offs by analyzing the characteristics of Clog and Csum with respect to the variation of key system parameters.