Global Hopf bifurcation for differential-algebraic equations with state dependent delay
Dynamical Systems
2018-01-04 v2
Abstract
We develop a global Hopf bifurcation theory for differential equations with a state-dependent delay governed by an algebraic equation, using the -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.
Cite
@article{arxiv.1705.03794,
title = {Global Hopf bifurcation for differential-algebraic equations with state dependent delay},
author = {Qingwen Hu},
journal= {arXiv preprint arXiv:1705.03794},
year = {2018}
}