Partial synchronization manifolds for linearly time-delay coupled systems

E. Steur, C. (Cees) Leeuwen, van, Wim Michiels

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

Samenvatting

Sometimes a network of dynamical systems shows a form of incomplete synchronization characterized by synchronization of some but not all of its systems. This type of incomplete synchronization is called partial synchronization. Partial synchronization is associated with the existence of partial synchronization manifolds, which are linear invariant subspaces of C, the state space of the network of systems. We focus on partial synchronization manifolds in networks of systems that interact via linear coupling functions subject to time-delays. For such networks a number of necessary and sufficient conditions for the existence of partial synchronization manifolds are presented. A simple, illustrative example demonstrates the application of our results.
Originele taal-2Engels
Titel21st International Symposium on Mathematical Theory on Networks and Systems (MTNS), 7-11 July 2014, Groningen, The Netherlands
StatusGepubliceerd - 2014
Evenement21st International Symposium on Mathematical Theory on Networks and Systems (MTNS 2014) - Groningen, Nederland
Duur: 7 jul 201411 jul 2014
Congresnummer: 21st

Congres

Congres21st International Symposium on Mathematical Theory on Networks and Systems (MTNS 2014)
Verkorte titelMTNS 2014
Land/RegioNederland
StadGroningen
Periode7/07/1411/07/14
Ander21st International Symposium on Mathematical Theory on Networks and Systems (MTNS)

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