Sentence examples for bifurcation problem of system from inspiring English sources

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Next we investigate the critical periodic bifurcation problem of system (1.2) | B 21 = 0. We have the following two theorems.

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The bifurcation problem of a two-degree-of-freedom system vibrating against a rigid surface is studied in this paper.

Codimension-2 Hopf bifurcation problem of a two-degree-of-freedom system vibrating against a rigid surface is investigated in this paper.

The steady-state bifurcation problem of a general class of catalytic reaction systems is resolved using this method.

We demonstrate that certain inverse bifurcation problems of biological interest may be cast as optimization problems involving minimal distances of reference parameter sets to bifurcation manifolds.

In particular, we consider inverse bifurcation problems of two types: identification and design.

We use the center manifold theorem and bifurcation theory [19] to explore the fold bifurcation, flip bifurcation, and Naimark Sacker bifurcation of system (2).

3, we discuss a codimension-one bifurcation (Neimark Sacker bifurcation and flip bifurcation) of system (2.3) at the fixed point.

The problem of zero-Hopf bifurcation of system (2) is addressed in Sect.

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).

Then (upsilon=0) is the Hopf bifurcation value of system (2).

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