Partial synchronization manifolds for linearly time-delay coupled systems

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

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

Abstract

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.
Original languageEnglish
Title of host publication21st International Symposium on Mathematical Theory on Networks and Systems (MTNS), 7-11 July 2014, Groningen, The Netherlands
Publication statusPublished - 2014
Event21st International Symposium on Mathematical Theory on Networks and Systems (MTNS 2014) - Groningen, Netherlands
Duration: 7 Jul 201411 Jul 2014
Conference number: 21st

Conference

Conference21st International Symposium on Mathematical Theory on Networks and Systems (MTNS 2014)
Abbreviated titleMTNS 2014
CountryNetherlands
CityGroningen
Period7/07/1411/07/14

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