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Generic Hopf bifurcation in a class of integro-differential equations. (English) Zbl 0756.45017

The author studies the Hopf bifurcation problem for a certain type of functional differential equations, deriving a so-called normal form equation that determines the behaviour of generic bifurcations. Computational aspects of the problem are also illustrated by means of examples.

MSC:

45J05 Integro-ordinary differential equations
45G10 Other nonlinear integral equations
65R20 Numerical methods for integral equations
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References:

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