TY - GEN A1 - Wolfrum, Matthias A1 - Omelchenko, Oleh A1 - Yanchuk, Serhiy A1 - Maistrenko, Yuri T1 - Spectral properties of chimera states N2 - Chimera states are particular trajectories in systems of phase oscillators with non-local coupling that display a spatio-temporal pattern of coherent and incoherent motion. We present here a detailed analysis of the spectral properties for such trajectories. First, we study numerically their Lyapunov spectrum and its behavior for an increasing number of oscillators. The spectra demonstrate the hyperchaotic nature of the chimera states and show a correspondence of the Lyapunov dimension with the number of incoherent oscillators. Then, we pass to the thermodynamic limit equation and present an analytic approach to the spectrum of a corresponding linearized evolution operator. We show that in this setting, the chimera state is neutrally stable and that the continuous spectrum coincides with the limit of the hyperchaotic Lyapunov spectrum obtained for the finite size systems. KW - chimera states KW - spectrum KW - Lyapunov exponents Y1 - 2011 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/824 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-8240 ER -