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Article Contents

# A nonautonomous transcritical bifurcation problem with an application to quasi-periodic bubbles

• We study the phenomenon of stability breakdown for non-autonomous differential equations whose time dependence is determined by a minimal, strictly ergodic flow. We find that, under appropriate assumptions, a new attractor may appear. More generally, almost automorphic minimal sets are found.
Mathematics Subject Classification: 34C29, 37B55, 37G35.

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