Recurrence analysis of ant activity patterns

Abstract

In this study, we used recurrence quantification analysis (RQA) and recurrence plots (RPs) to compare the movement activity of individual workers of three ant species, as well as a gregarious beetle species. RQA and RPs quantify the number and duration of recurrences of a dynamical system, including a detailed quantification of signals that could be stochastic, deterministic, or both. First, we found substantial differences between the activity dynamics of beetles and ants, with the results suggesting that the beetles have quasi-periodic dynamics and the ants do not. Second, workers from different ant species varied with respect to their dynamics, presenting degrees of predictability as well as stochastic signals. Finally, differences were found among minor and major caste of the same (dimorphic) ant species. Our results underscore the potential of RQA and RPs in the analysis of complex behavioral patterns, as well as in general inferences on animal behavior and other biological phenomena.

Investigation of Details in the Transition to Synchronization in Complex Networks by Using Recurrence Analysis

“…It is known that the mean field of a phase synchronized network has a "periodic" oscillation where the amplitude is bigger than in an unsynhcronized case, as observed in [11,26]. This approach makes an experimental validation possible since the recurrence quantification analysis is able to analyze experimental time series [43][44][45][46].…”

Construction of methods for computing recurrence plots in space with a scalar product

“…It is not required to take into account the used metric of space in this case. Magnitudes (12) and (13) do not depend on dimensionality and the length of vectors of states observed at different moments either. Complete coincidence of these vectors (magnitude α = 0°) corresponds to magnitude S i,j = 1.…”

“…Application of normalized space with the Euclidean metric to compute the matrices of recurrence and distances in neural networks is considered in research [12]. Features of calculating RP in normalized spaces with the Euclidean metric for analysis of the dynamics of states recurrence in biological systems are discussed in [13]. Paper [14] proposed to calculate RP in case of irregular data observations, an approach based on the use of metric spaces with metric in the form of the distance between the relevant observed data.…”

Development of the correlation method for operative detection of recurrent states

“…However, the use of neural networks is related to the known shortcomings and limitations. The application of the RP methods to studying the behavior of biosystems is considered in article [12]. The RP is calculated in a space with the Euclidean metric.…”