Abstract
This paper is concerned with an example of steady-state/Hopf mode interaction arising in two-parameter non-linear problems satisfying a Z 2 -symmetry condition. Specifically we study bifurcation phenomena near a symmetry-breaking Takens-Bogdanov point where paths of symmetric steady-state solutions, symmetric Hopf points and, under a certain positive condition, asymmetric Hopf points intersect. Our approach provides useful numerical information for switching from one solution path to another. Numerical results are given for an example arising from a finite-element discretization of a problem in fluid mechanics
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