Sliding Hopf bifurcation in interval systems (original) (raw)
2017, Discrete and Continuous Dynamical Systems
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Hopf bifurcation of integro-differential equations
Proceedings of The 6'th Colloquium on the Qualitative Theory of Differential Equations (August 10--14, 1999, Szeged, Hungary) edited by: G. Makay and L. Hatvani, 1999
A method reducing integro-differential equations (IDE's) to systems of ordinary differential equations is proposed. Stability and bifurcation phenomena in critical cases are studied using this method. An analog of Hopf bifurcation for scalar IDE's of first order is obtained. Conditions for existence of periodic solution are proposed. We conclude that phenomena typical for two dimensional systems of ODE's appear for scalar IDE's.
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