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In the present paper we consider dispersion curves of longitudinalexcitations of a model core-softened liquid and SPC/E model of water. We showthat both systems demonstrate anomalous behavior of the excitation frequencies:the frequencies of the excitations can decrease with temperature alongisochors, while in normal liquids they should increase. This observation allowsto introduce one more water anomaly - anomalous dependence of excitationfrequencies on temperature.

Anomalous behavior of dispersion curves in water-like systems and water