A Degenerate Hopf Bifurcation Theorem in Infinite Dimensions

Hongjing Pan, Ruixiang Xing, Zhannan Zhuang

A Hopf bifurcation theorem is established for the abstract evolution equation $\frac{\mathrm{d}x}{\mathrm{d}t}=F(x,\lambda )$ in infinite dimensions under the degeneracy condition $Re μ^{…