We develop a global Hopf bifurcation theory for differential equations with a state-dependent delay governed by an algebraic equation, using the S 1 -equivariant degree. We apply the global Hopf bifurcation theory to a model of genetic regulatory dynamics with threshold type state-dependent delay vanishing at the stationary state, for a description of the global continuation of the periodic oscillations.
CITATION STYLE
Hu, Q. (2019). Global Hopf Bifurcation for Differential-Algebraic Equations with State-Dependent Delay. Journal of Dynamics and Differential Equations, 31(1), 93–128. https://doi.org/10.1007/s10884-017-9640-0
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