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
email: mikefield@gmail.com
Professor Mike Field
Department of Mechanical Engineering
University of California
Santa Barbara, CA 93106
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