  We report the occurrence of a self-emerging frequency chimera state in
spatially extended systems of coupled oscillators, where the coherence and
incoherence are defined with respect to the emergent frequency of the
oscillations. This is generated by the local coupling among nonlinear
oscillators evolving under differing dynamical timescales starting from random
initial conditions. We show how they self-organize to structured patterns with
spatial domains of coherence that are in frequency synchronization, coexisting
with domains that are incoherent in frequencies. Our study has relevance in
understanding such patterns observed in real-world systems like neuronal
systems, power grids, social and ecological networks, where differing dynamical
timescales is natural and realistic amongthe interacting systems.
