Examples of coupled resonator and oscillator arrays in engineering, scientific and mathematical contexts are diverse and abundant. However, when the technical scope is limited to mechanical systems, research typically focuses on arrays of resonators in which the coupling between the sub-units is conservative and nearest-neighbor in nature. In these arrays, if the sub-units are nominally identical, and the coupling is weak, collective behaviors such as localization, the spatial confinement of energy in distinct or limited regions, can be observed. In contrast, if the coupling is global and dissipative, very different collective dynamics are observed, namely, group resonance, confined attenuation, and group attenuation, the latter two of which are associated with the local absence of energy. This paper investigates these dynamic phenomena within the context of a generic, globally-, dissipatively-coupled system, which is motivated by recent work related to electromagnetically-coupled microresonator arrays. The results of this work have direct applicability in new single-input, single-output resonant mass sensors, and, with extension, a variety of other sensing and signal processing applications.

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