  We report the existence of a chimera state in an assembly of identical
nonlinear oscillators that are globally linked to each other in a simple planar
cross-coupled form. The rotational symmetry breaking of the coupling term
appears to be responsible for the emergence of these collective states that
display a characteristic coexistence of coherent and incoherent behaviour. Our
finding, seen in both a collection of van der Pol oscillators and chaotic
Rossler oscillators, further simplifies the existence criterion for chimeras
and thereby broadens the range of their applicability to real world situations.
