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This work deals with bifurcation and pattern changing in models described bytwo real scalar fields. We consider generic models with quartic potentials andshow that the number of independent polynomial coefficients affecting theratios between the various domain wall tensions can be reduced to 4 if themodel has a superpotential. We then study specific one-parameter families ofmodels and compute the wall tensions associated with both BPS and non-BPSsectors. We show how bifurcation can be associated to modification of thepatterns of domain wall networks and illustrate this with some examples whichmay be relevant to describe realistic situations of current interest in highenergy physics. In particular, we discuss a simple solution to the cosmologicaldomain wall problem.

Bifurcation and pattern changing with two real scalar fields