4 research outputs found
Modelling Non-Linear Consensus Dynamics on Hypergraphs
The basic interaction unit of many dynamical systems involves more than two
nodes. In such situations where networks are not an appropriate modelling
framework, it has recently become increasingly popular to turn to higher-order
models, including hypergraphs. In this paper, we explore the non-linear
dynamics of consensus on hypergraphs, allowing for interactions within
hyperedges of any cardinality. After discussing the different ways in which
non-linearities can be incorporated in the dynamical model, building on
different sociological theories, we explore its mathematical properties and
perform simulations to investigate them numerically. After focussing on
synthetic hypergraphs, namely on block hypergraphs, we investigate the dynamics
on real-world structures, and explore in detail the role of involvement and
stubbornness on polarisation
A new energy regeneration system for A BLDC motor driven electric vehicle
Amidst the ever-increasing advancements in the technological realm-the electrical vehicle industry too has seen several leaps. This particularly owes to three primary factors one, the fact that we are running out of conventional resources like petrol and diesel; two, higher efficiency of electric vehicles; and finally, less pollution caused by them. This has led to a burgeoning in the use of BLDC motors with electronic commutation not only in EVs but also in industrial and commercial applications. This requires an enhanced driving and control mechanism to tap the efficiency that such motors provide to increase performance and to get better controllability and reliability. This paper presents a controller for this EV motor driver with increased efficiency by combining various strategies
Modelling Non-Linear Consensus Dynamics on Hypergraphs
The basic interaction unit of many dynamical systems involves more than two nodes. In such situations where networks are not an appropriate modelling framework, it has recently become increasingly popular to turn to higher-order models, including hypergraphs. In this paper, we explore the non-linear dynamics of consensus on hypergraphs, allowing for interactions within hyperedges of any cardinality. After discussing the different ways in which non-linearities can be incorporated in the dynamical model, building on different sociological theories, we explore its mathematical properties and perform simulations to investigate them numerically. After focussing on synthetic hypergraphs, namely on block hypergraphs, we investigate the dynamics on real-world structures, and explore in detail the role of involvement and stubbornness on polarisation
Spaces of innovation and venture formation: the case of biotech in the United Kingdom
Patents serve as valuable indicators of innovation and provide insights into
the spaces of innovation and venture formation within geographic regions. In
this study, we utilise patent data to examine the dynamics of innovation and
venture formation in the biotech sector across the United Kingdom (UK). By
analysing patents, we identify key regions that drive biotech innovation in the
UK. Our findings highlight the crucial role of biotech incubators in
facilitating knowledge exchange between scientific research and industry.
However, we observe that the incubators themselves do not significantly
contribute to the diversity of innovations which might be due to the underlying
effect of geographic proximity on the influences and impact of the patents.
These insights contribute to our understanding of the historical development
and future prospects of the biotech sector in the UK, emphasising the
importance of promoting innovation diversity and fostering inclusive enterprise
for achieving equitable economic growth