Marie Curie EU funded project on Asynchronous Networks

Asynchronous Networks

Real-world networks in technology, engineering and biology often exhibit dynamics that cannot be adequately reproduced using network models given by smooth dynamical systems and a fixed network topology. Asynchronous networks give a theoretical and conceptual framework for the study of network dynamics where nodes can evolve independently of one another, be constrained, stop, and later restart, and where the interaction between different components of the network may depend on time, state, and stochastic effects. This framework is sufficiently general to encompass a wide range of applications ranging from engineering to neuroscience. Typically, dynamics is piecewise smooth and there are relationships with Filippov systems and piecewise smooth dynamics generally.

In the sections below we describe in more detail the focus and results of the project and the foundational result - the modularization of dynamics theorem - which gives a spatiotemporal factorization of the dynamics for a large class of functional asynchronous networks.

Focus areas of project

Dissemination of results: Publications and talks

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