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      From coupled networks of systems to networks of states in phase space

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      main_revised_preprint_aug17.pdf (908.5Kb)
      Date
      2017
      Author
      Weinberger, O
      Ashwin, PB
      Date issued
      2017
      Journal
      Discrete and Continuous Dynamical Systems - Series B
      Type
      Article
      Language
      en
      Publisher
      American Institute of Mathematical Sciences (AIMS)
      Embargo
      2999-01-01
      Reason for embargo
      Currently under an indefinite embargo pending publication by AIMS. 12-month embargo to be applied on publication
      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 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.
      Description
      This is the author accepted manuscript.
      Citation
      Awaiting citation and DOI
      URI
      http://hdl.handle.net/10871/28916
      ISSN
      1531-3492
      Collections
      • Mathematics

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