Modeling Frequency Reduction in Human Groups Performing a Joint Oscillatory Task

In human groups performing oscillatory tasks, it has been observed that the frequency of participants' oscillations reduces when compared to that acquired in solo. This experimental observation is not captured by the standard Kuramoto oscillators, often employed to model human synchronization. In this work, we aim at capturing this observed phenomenon by proposing three alternative modifications of the standard Kuramoto model that are based on three different biologically-relevant hypotheses underlying group synchronization. The three models are tuned, validated and compared against experiments on a group synchronization task, which is a multi-agent extension of the so-called mirror game.

Robust Group Synchronization via Cycle-Edge Message Passing

We propose a general framework for solving the group synchronization problem, where we focus on the setting of adversarial or uniform corruption and sufficiently small noise. Specifically, we apply a novel message passing procedure that uses cycle consistency information in order to estimate the corruption levels of group ratios and consequently solve the synchronization problem in our setting. We first explain why the group cycle consistency information is essential for effectively solving group synchronization problems. We then establish exact recovery and linear convergence guarantees for the proposed message passing procedure under a deterministic setting with adversarial corruption. These guarantees hold as long as the ratio of corrupted cycles per edge is bounded by a reasonable constant. We also establish the stability of the proposed procedure to sub-Gaussian noise. We further establish exact recovery with high probability under a common uniform corruption model.

FBPCQS-Fuzzy-Based Peer Coordination Quality Systems for P2P Networks

This work presents a distributed event-based awareness approach for P2P groupware systems. The authors present two fuzzy-based systems for improving peer awareness and group synchronization according to four parameters: activity awareness (AA), sustained communication time (SCT), group synchronization (GS), and peer communication cost (PCC). Then, this research uses fuzzy-based model to decide peer coordination quality (PCQ). The authors call the proposed systems: fuzzy-based peer coordination quality (FBPCQ) systems (FBPCQS1 and FBPCQS2). The authors make a comparison study between FBPCQS1 and FBPCQS2. The simulations results conclude that when AA, GS, and SCT are high, the PCQ is high, but with increasing of the PCC, the PCQ is decreased. The proposed systems can choose reliable peers with good peer coordination quality in mobilePeerDroid mobile system. Comparing the complexity, the FBPCQ2 is more complex than FBPCQS1. However, FBPCQS2 considers also the PCC, which makes the system more reliable.

Sampled-Data-Based Adaptive Group Synchronization of Second-Order Nonlinear Complex Dynamical Networks with Time-Varying Delays

This paper studies the adaptive group synchronization of second-order nonlinear complex dynamical networks with sampled-data and time-varying delays by designing a new adaptive strategy to feedback gains and coupling strengths. According to Lyapunov stability properties, it is shown that the agents of subgroups can converge the given synchronous states, respectively, under some conditions on the sampled period. Moreover, some simulation results are given.