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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… Click to show full 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 regulatory dynamics with threshold type state-dependent delay vanishing at the stationary state, for a description of the global continuation of the periodic oscillations.
Keywords:
state;
global hopf;
state dependent;
dependent delay;
hopf bifurcation
Journal Title: Journal of Dynamics and Differential Equations
Year Published: 2017
Link to full text (if available)
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Journal Title: Journal of Dynamics and Differential Equations
Year Published: 2017
Link to full text (if available)
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recommendations!