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Global Hopf Bifurcation for Differential-Algebraic Equations with State-Dependent Delay.
- Source :
-
Journal of Dynamics & Differential Equations . Mar2019, Vol. 31 Issue 1, p93-128. 36p. - Publication Year :
- 2019
-
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 -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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10407294
- Volume :
- 31
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Dynamics & Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 135715008
- Full Text :
- https://doi.org/10.1007/s10884-017-9640-0