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We report the appearance and the metamorphoses of spiral wave chimera statesin coupled phase oscillators with inertia. First, when the coupling strength issmall enough, the system behavior resembles classical two-dimensional (2D)Kuramoto-Shima spiral chimeras with bell-shape frequency characteristic of theincoherent cores. As the coupling increases, the cores acquire concentricregions of constant time-averaged frequencies, the chimera becomesquasiperiodic. Eventually, with a subsequent increase in the coupling strength,only one such region is left, i.e., the whole core becomes frequency-coherent.An essential modification of the system behavior occurs, when the parameterpoint enters the so-called solitary} region. Then, isolated oscillators arenormally present on the spiral core background of the chimera states. Thesesolitary oscillators do not participate in the common spiraling around thecores; instead, they start to oscillate with different time-averagedfrequencies (Poincar\'e winding numbers). The number and the disposition ofsolitary oscillators can be any, given by the initial conditions. At a furtherincrease in the coupling, the spiraling disappears, and the system behaviorpasses to a sort of spatiotemporal chaos.

Spiral wave chimeras for coupled oscillators with inertia