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Article Contents

# Pitchfork and transcritical bifurcations in systems with homogeneous nonlinearities and an almost periodic time coefficient

• The zero solution of a vector valued differential equation with an autonomous linear part and a homogeneous nonlinearity multiplied by an almost periodic function is shown to undergo pitchfork or transcritical bifurcations to small nontrivial almost periodic soutions as a leading simple real eigenvalue of the linear part crosses the imaginary axis.
Mathematics Subject Classification: 34C23, 34C27, 37G10.

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