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## Emerging Topics in Network Dynamical Systems |

Many
systems throughout the sciences and in technology are networks: they are formed
of individual nodes which interact. Examples include electrical circuits,
neuronal networks, food chains, economic markets and social media. Such
dynamical systems can often exhibit intriguing emergent phenomena, such as
complicated bifurcation scenarios and synchronization, either of the entire
network or just of a localized subset of nodes. Unfortunately, knowledge of the
dynamics of the isolated nodes and the interaction topology in between is
typically not sufficient for understanding the global dynamics of the entire
network. Moreover, modern techniques from dynamical systems are seldom
compatible with a given network structure. Hence, there is a need for
mathematical methods tailored specifically to the study of the many distinctive
aspects of network dynamics. The
goal of this workshop is twofold: on the one hand there is a focus on bringing
together researchers with novel theoretical perspectives and expertise in
applications. The workshop explicitly does not narrowly focus on any small
subfield of network dynamical systems, but aims instead to broaden the horizon
of its participants. On the other hand, the aim is to identify concrete
possibilities to apply recent mathematical theory to real-world network
dynamical systems, thereby providing a greater visibility for the field and its
potential. [Back] |