Generalized Jordan structure and Andronov-Hopf bifurcation branching equation (Q2701724)

Andronov-Hopf bifurcation for differential equations in Banach spaces with Fredholm operator at the highest derivative is considered. With this problem four operator-functions of spectral parameter are connected. Their Jordan structure and its relations with corresponding branching equation are investigated. A theorem about group invariance of the original differential equation inheritance by branching equation is proved.NEWLINENEWLINENEWLINE[Remarks: Instead of ``dots'' one finds in certain places the symbol ``L'' (editorial misprints)].NEWLINENEWLINEFor the entire collection see [Zbl 0956.00026].