  A generic distinct mechanism for the emergence of spatially localized states
embedded in an oscillatory background is demonstrated by using 2:1 frequency
locking oscillatory system. The localization is of Turing type and appears in
two space dimensions as a comb-like state in either $\pi$ phase shifted Hopf
oscillations or inside a spiral core. Specifically, the localized states appear
in absence of the well known flip-flop dynamics (associated with collapsed
homoclinic snaking) that is known to arise in the vicinity of Hopf-Turing
bifurcation in one space dimension. Derivation and analysis of three
Hopf-Turing amplitude equations in two space dimensions reveals a local
dynamics pinning mechanism for Hopf fronts, which in turn allows the emergence
of perpendicular (to the Hopf front) Turing states. The results are shown to
agree well with the comb-like core size that forms inside spiral waves. In the
context of 2:1 resonance, these localized states form outside the 2:1 resonance
region and thus extend the frequency locking domain for spatially extended
media, such as periodically driven Belousov-Zhabotinsky chemical reactions.
Implications to chlorite-iodide-malonic-acid and shaken granular media are also
addressed.
