| Autor: |
Ferruzzo Correa Diego Paolo, Castilho Piqueira José Roberto |
| Jazyk: |
English<br />French |
| Rok vydání: |
2014 |
| Předmět: |
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| Zdroj: |
MATEC Web of Conferences, Vol 16, p 05005 (2014) |
| Druh dokumentu: |
article |
| ISSN: |
2261-236X |
| DOI: |
10.1051/matecconf/20141605005 |
| Popis: |
In this work a brief method for finding steady-state and Hopf bifurcations in a (R + 1)-th order N-node time-delay fully-connected network with symmetry is explored. A self-sustained Phase-Locked Loop is used as node. The irreducible representations found due to the network symmetry are used to find regions of time-delay independent stability/instability in the parameter space. Symmetry-preserving and symmetry-breaking bifurcations can be computed numerically using the Sn map proposed in [1]. The analytic results show the existence of symmetry-breaking bifurcations with multiplicity N − 1. A second-order N-node network is used as application example. This work is a generalization of some results presented in [2]. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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