Hopf bifurcation at the nonzero foci in 1:4 resonance

Wang Duo

doi:10.1007/BF02108858

Hopf bifurcation at the nonzero foci in 1:4 resonance

Wang Duo^*

^*Corresponding author for this work

Peking University

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

The differential equation {Mathematical expression} in considered, where θ is a real parameter. We prove that Hopf bifurcation occurs at the nonzero foci and is always subcritical for any A in a subregion in the complex plane.

Original language	English
Pages (from-to)	10-17
Number of pages	8
Journal	Acta Mathematica Sinica
Volume	6
Issue number	1
DOIs	https://doi.org/10.1007/BF02108858
Publication status	Published - Mar 1990
Externally published	Yes

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Duo, W. (1990). Hopf bifurcation at the nonzero foci in 1:4 resonance. Acta Mathematica Sinica, 6(1), 10-17. https://doi.org/10.1007/BF02108858

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Hopf bifurcation at the nonzero foci in 1:4 resonance

Abstract

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