Global Hopf Bifurcation for Differential-Algebraic Equations with State-Dependent Delay
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DOI: 10.1007/s10884-017-9640-0
Abstract: We develop a global Hopf bifurcation theory for differential equations with a state-dependent delay governed by an algebraic equation, using the $$S^1$$S1-equivariant degree. We apply the global Hopf bifurcation theory to a model of genetic… read more here.
Keywords: state; global hopf; state dependent; dependent delay ... See more keywords
Bounded global Hopf branches for stage-structured differential equations with unimodal feedback
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DOI: 10.1088/1361-6544/aa5497
Abstract: We consider a class of stage-structured differential equations with unimodal feedback. By using the time delay as a bifurcation parameter, we show that the number of local Hopf bifurcation values is finite. Furthermore, we analytically… read more here.
Keywords: global hopf; hopf; structured differential; bounded global ... See more keywords