Hopf bifurcation for functional differential equations of mixed type
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Publication:1825357
DOI10.1007/BF01047829zbMath0684.34070OpenAlexW1963638368MaRDI QIDQ1825357
Publication date: 1989
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01047829
Hopf bifurcationcompetitive economybusiness cyclemixed functional differential equationscenter manifold theorems
Periodic solutions to ordinary differential equations (34C25) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Singularities and groups in bifurcation theory. Volume I
- The Hopf bifurcation and the existence and stability of closed orbits in multisector models of optimal economic growth
- Duality theory for dynamic optimization models of economics: The continuous time case
- Projection series for retarded functional differential equations with applications to optimal control problems
- The structure and stability of competitive dynamical systems
- Theory of functional differential equations. 2nd ed
- Functional differential equations of mixed type: The linear autonomous case
- Variational and optimal control problems with delayed argument
- Time to Build and Aggregate Fluctuations
