Traditionally, much of the study of networks has focused on structural features. Indeed,
mathematical subjects such as graph theory have a rich history of investigating network …

Individuals who interact with each other in social networks often exchange ideas and
influence each other's opinions. A popular approach to study the spread of opinions on …

I briefly survey several fascinating topics in networks and nonlinearity. I highlight a few
methods and ideas, including several of personal interest, that I anticipate to be especially …

Human history has been marked by social instability and conflict, often driven by the
irreconcilability of opposing sets of beliefs, ideologies, and religious dogmas. The dynamics …

In this paper, we examine a variant of the voter model on a dynamically changing network
where agents have the option of changing their friends rather than changing their opinions …

A fundamental question that arises in the analysis of the noise-based synchronization of
opinion dynamics with bounded confidence (BC) is what opinion structures can be …

Coupling dynamics of the states of the nodes of a network to the dynamics of the network
topology leads to generic absorbing and fragmentation transitions. The coevolving voter …

We study an adaptive network model driven by a nonlinear voter dynamics. Each node in
the network represents a voter and can be in one of two states that correspond to different …

We propose a continuous process opinion formation model to study the dynamics of a multi-
level relationship between voters, political parties, and facts in two-party democratic …

We consider a class of adaptive network models where links can only be created or deleted
between nodes in different states. These models provide an approximate description of a set …