A chimera state in a coupled oscillator system is a dynamical state that combines regions of coherence (or synchrony) with regions if incoherence (or asynchrony). However exactly how one defines these terms affects which states can be identified as chimeras and which not, especially for small groups of phase oscillators. In this talk I will discuss some joint work with O. Burylko (Kiev) where propose a definition of a weak chimera based on partial frequency synchrony. This allows one to explore the existence and stability of weak chimeras in small networks of phase oscillators. In particular we find that the usual coupling considered when investigating chimeras (Kuramoto-Sakaguchi type) leads to rather degenerate sets of neutrally stable chimeras, while more generic coupling unfolds this degeneracy.