Practical dynamic consensus of Stuart–Landau oscillators over heterogeneous networks

ABSTRACT

In Panteley and Loria (2017), a framework for the study of synchronisation and collective behaviour of networked heterogeneous systems was introduced. It was underlined that in such scenario an emergent collective behaviour arises, one that is inherent to the network and that is independent of the interconnection strength. Therefore, the natural way to make complete study of synchronisation is by investigating, on one hand, the stability of the emergent dynamical system and, on the other, by assessing the difference between the motion of each individual system and that of the emergent one. Thus, if all systems' motions approach that of the emergent dynamics, we say that they reach dynamic consensus. In this paper, we study dynamic consensus of a fairly general class of nonlinear heterogeneous oscillators, called Stuart–Landau. We establish that the emergent dynamics consists in that of an ‘averaged’ oscillator with a global attractor that consists in a limit-cycle and, moreover, we determine its frequency of oscillation. Then, we show that the heterogeneous oscillators achieve practical dynamic consensus, that is, their synchronisation errors measured relative to the collective motion are ultimately bounded.     

Drivers’ attitudes,preference, and acceptance of in-vehicle anger intervention systems and their relationships to demographic and personality characteristics

This research conducted focus group interviews and a questionnaire survey to investigate the potential demand of drivers for anger intervention systems (AISs) and explore the effects of demographic factors and personality traits on the preference and attitudes toward AISs. Results indicate that drivers prefer auditory intervention over tactile and visual interventions. Moreover, they favor emotion recording features but also have negative attitudes about accuracy and system security. In addition, age and some personality traits (i.e., types of driving anger and categories of driving anger expressions) play an important role in predicting the preference of intervention modalities or attitudes toward AISs and provide a new perspective on designing customized intervention systems. The outcome of this research provides practical implications regarding the design of in-vehicle anger intervention systems for the automotive industry to reduce drivers’ anger and improve driving safety.