Sentence examples for existence of Hopf from inspiring English sources

Well, due to the local existence of Hopf bifurcation, the periodic solutions only exist in a small neighborhood of bifurcation value.

([87]; Existence of Hopf bifurcation).

The linear stability and the existence of Hopf bifurcation of this system are investigated.

These oscillations were caused by the existence of Hopf bifurcations in the system.

Local stability and existence of Hopf bifurcation are analyzed in details.

Further, the existence of Hopf bifurcation at the coexistence equilibrium is also studied.

This corresponds with the analysis of 'Bifurcations' section where we showed the existence of zero-Hopf and Hopf-Hopf points (see Equations 22 and 23).

In this part, we investigate the stability of the fractional-order survival red blood cells model (2.7), and some existence conditions of Hopf bifurcations are addressed.

Moreover, the existence of a Hopf bifurcation is given.

First of all, the existence of a Hopf bifurcation is computed by bifurcation theory.

Moreover, the conditions for the existence of a Hopf bifurcation [14] are then satisfied.