We study a class of singularly perturbed dynamical systems that have fast and slow components, ε⪡1 being the fast to slow timescale ratio. The fast components are governed by a strongly mixing discrete map, which is iterated at time intervals ε. The slow components are governed by a...

We numerically solve the steady-state equation and the stability spectrum for solidification in a channel. For a large range of parameters stable symmetric and stable parity-broken solutions coexist. The branches of parity-broken solutions are found to originate from the symmetric solutions...