From coupled networks of systems to networks of states in phase space
Weinberger, O; Ashwin, PB
Date: 11 May 2018
Journal
Discrete and Continuous Dynamical Systems - Series B
Publisher
American Institute of Mathematical Sciences (AIMS)
Publisher DOI
Abstract
Dynamical systems on graphs can show a wide range of behaviours beyond simple synchronization - even simple globally coupled structures can exhibit attractors with intermittent and slow switching between patterns of synchrony. Such attractors, called heteroclinic networks, can be well described as networks in phase space and in this ...
Dynamical systems on graphs can show a wide range of behaviours beyond simple synchronization - even simple globally coupled structures can exhibit attractors with intermittent and slow switching between patterns of synchrony. Such attractors, called heteroclinic networks, can be well described as networks in phase space and in this paper we review some results and examples of how these robust attractors can be characterised from the synchrony properties as well how coupled systems can be designed to exhibit given but arbitrary network attractors in phase space.
Mathematics and Statistics
Faculty of Environment, Science and Economy
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