  The study of chimera states or, more generally, coherence-incoherence
patterns has led to the development of several tools for their identification
and characterization. In this work, we extend the eigenvalue decomposition
method to distinguish between single-well and double-well patterns. By applying
our method, we are able to identify the following four types of dynamical
patterns in a ring of nonlocally coupled Chua circuits and nonlocally coupled
cubic maps: single-well cluster, single-well coherence-incoherence pattern,
double-well cluster, and double-well coherence-incoherence. In a ring-star
network of Chua circuits, we investigate the influence of adding a central node
on the spatio-temporal patterns. Our results show that increasing the coupling
with the central node favors the occurrence of single-well
coherence-incoherence states. We observe that the boundaries of the attraction
basins resemble fractal and riddled structures
