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 language | English |
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| Title of host publication | 21st International Symposium on Mathematical Theory on Networks and Systems (MTNS), 7-11 July 2014, Groningen, The Netherlands |
| Publication status | Published - 2014 |
| Event | 21st International Symposium on Mathematical Theory on Networks and Systems (MTNS 2014) - Groningen, Netherlands Duration: 7 Jul 2014 → 11 Jul 2014 Conference number: 21st |
Conference
| Conference | 21st International Symposium on Mathematical Theory on Networks and Systems (MTNS 2014) |
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| Abbreviated title | MTNS 2014 |
| Country/Territory | Netherlands |
| City | Groningen |
| Period | 7/07/14 → 11/07/14 |