Sentence examples for multiplicity and Hopf from inspiring English sources

Simple S-shaped multiplicity and Hopf bifurcation are the dominant features of the dynamic behavior.

Recent studies have shown that steady state multiplicity and Hopf phenomena can be present even in reactive flash, and such bifurcations are the product of the interaction of the vapor liquid separation with the chemical transformation.

Reactive distillation can display complex bifurcation phenomena, including multiplicities and Hopf oscillations.

Loci of limit points and Hopf bifurcation points are constructed on planes defined by two of the parameters of the problem in order to divide the planes into regions with different multiplicity and stability characteristics.

Stability and Hopf bifurcation of the DDEs are considered.

Guo et al. in [11] analyzed the fold and Hopf bifurcations, fold-Hopf bifurcations and Hopf-Hopf bifurcations of system (1.1) with (k=1), (g_{1}=g_{2}=f).

The Leray-Hopf weak solution was constructed by Leray [13] and Hopf [14], respectively.

By numerical simulation, general Hopf bifurcation, Hopf Hopf bifurcation and Hopf bifurcation satisfying 1 2 resonant conditions of the symmetric period n−2 motion are represented.

4, we discuss the linear stability analysis and Hopf bifurcation.

A bifurcation analysis is carried out revealing the points of saddle-node and Hopf bifurcations.

Also the double Hopf bifurcation and the generalized and Hopf bifurcation codimension-2 bifurcation points were found.