Hopf Bifurcation in a Three-Dimensional System

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Li De-ming, Huang Ke-lei. Hopf Bifurcation in a Three-Dimensional System[J]. Applied Mathematics and Mechanics, 1989, 10(11): 816-968.

Citation:

Li De-ming, Huang Ke-lei. Hopf Bifurcation in a Three-Dimensional System[J]. Applied Mathematics and Mechanics, 1989, 10(11): 816-968.

Citation:

Li De-ming, Huang Ke-lei. Hopf Bifurcation in a Three-Dimensional System[J]. Applied Mathematics and Mechanics, 1989, 10(11): 816-968.

Abstract

In this paper,Liapunor-Schmidl reduction and singularity theory are employed to discuss Hopf and degenerate Hopf bifureations in global parametric region in a three-dimensional system , The conditions on existence and stability are given.

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