Correlation characteristics of phase and amplitude chimeras in an ensemble of nonlocally coupled maps

Вадивасова, Т. Е.; Strelkova, Galina I.; Богомолов, С. А.; Анищенко, В. С.

doi:10.1134/s1063785017010278

Cited by 5 publications

(1 citation statement)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The amplitude chimeras [30,31], characterized by the coexistence of (at least) two groups of oscillators synchronized within different amplitudes appear universally in networks of coupled systems, e.g. in chaotic oscillators [32] or non-locally coupled maps [33]. The stability of amplitude chimeras has been studied in [34], while in [35], Banerjee et al investigate their relation with classical, phase patterns.…”

Section: Introductionmentioning

confidence: 99%

Small amplitude chimeras for coupled clocks

et al. 2020

View full text Add to dashboard Cite

We report the arise of small amplitude chimera states in three coupled pendulum clocks suspended on an oscillating base. Two types of chimeras are identified and described by the character of the behaviour of particular units (which can be both regular or irregular). The regions of the appearance of the dynamical patterns are determined and the scenarios of their coexistence with typical synchronization states are discussed. We investigate the chimeras’ basins of attraction, showing that the arise of complex dynamics is not straightforward and highly depends on the system’s parameters and the initial conditions. The latter is confirmed by the probability analysis, exhibiting the rare character of the observed attractors. The scenarios of bifurcations between the chimeric patterns are studied and supported using the energy balance method, which allows to describe the changes of the energy flows between particular nodes of the system. The results presented in this paper confirm the ones obtained for the previous models, extending the analysis with an additional degree of freedom.

show abstract