Generic Properties of an Integro-Differential Equation.
BROWN UNIV PROVIDENCE RI LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS
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Consider the functional differential equation where a,g are continuous. The linear function is such that the characteristic equation has two eigenvalues on the imaginary axis and the remaining ones with negative real parts. In spite of this, it is shown there is no generic Hopf bifurcation for any g. The nature of the bifurcation is characterized under hypotheses which appear to be generic in g. Author
- Theoretical Mathematics