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 |
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Pages (from-to) | 10-17 |
Number of pages | 8 |
Journal | Acta Mathematica Sinica |
Volume | 6 |
Issue number | 1 |
DOIs | |
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