<< This work greatly extends (AA) understanding of the dynamics of flying-through oscillators in media with nonlocal interaction. >>
<< Let’s describe the results obtained. First, it was shown that, depending on the number of potential wells, particles can be stationary, flying-through, or split into two subensembles of stationary and flying-through particles. Secondly, it has been demonstrated that in the case of stationary arrangement of particles, the fully synchronous regime can become unstable due to the inhomogeneity of particle distribution between potential wells. In a partially synchronous cluster, phase incoherent elements can be located within the same potential well. Third, when stationary and flying-through elements coexist, chimera regimes are realized at each subensemble and further coexist with each other. This means that, despite the nonlocal nature of the interaction between elements of the medium, what is important for structure formation is a relatively stable mutual arrangement of particles relative to each other, which leads to a chimera state in each of the subensemble. >>️
Maxim I. Bolotov, Lev A. Smirnov, et al. Chimera states in a system of stationary and flying-through deterministic particles with an internal degree of freedom. arXiv: 2412.05044v1 [nlin.CD]. Dec 6, 2024.
Also: chimera, chaos, in https://www.inkgmr.net/kwrds.html
Keywords: gst, chimera, chaos
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