  We study the dynamics of coupled systems, ranging from maps supporting
chaotic attractors to nonlinear differential equations yielding limit cycles,
under different coupling classes, connectivity ranges and initial states. Our
focus is the robustness of chimera states in the presence of a few time-varying
random links, and we demonstrate that chimera states are often destroyed,
yielding either spatiotemporal fixed points or spatiotemporal chaos, in the
presence of even a single dynamically changing random connection. We also study
the global impact of random links by exploring the Basin Stability of the
chimera state, and we find that the basin size of the chimera state rapidly
falls to zero under increasing fraction of random links. This indicates the
extreme fragility of chimera patterns under minimal spatial randomness in many
systems, significantly impacting the potential observability of chimera states
in naturally occurring scenarios.
