Frustration induced oscillator death on networks
Data(s) |
2013
|
---|---|
Resumo |
An array of identical maps with Ising symmetry, with both positive and negative couplings, is studied. We divide the maps into two groups, with positive intra-group couplings and negative inter-group couplings. This leads to antisynchronization between the two groups which have the same stability properties as the synchronized state. Introducing a certain degree of randomness in signs of these couplings destabilizes the anti-synchronized state. Further increasing the randomness in signs of these couplings leads to oscillator death. This is essentially a frustration induced phenomenon. We explain the observed results using the theory of random matrices with nonzero mean. We briefly discuss applications to coupled differential equations. (C) 2013 AIP Publishing LLC. |
Formato |
application/pdf |
Identificador |
http://eprints.iisc.ernet.in/47687/1/CHAOS_23-3_2013__Gade.pdf Gade, Prashant M and Rangarajan, Govindan (2013) Frustration induced oscillator death on networks. In: CHAOS, 23 (3). |
Publicador |
AMER INST PHYSICS |
Relação |
http://dx.doi.org/10.1063/1.4812797 http://eprints.iisc.ernet.in/47687/ |
Palavras-Chave | #Centre for Neuroscience #Mathematics |
Tipo |
Journal Article PeerReviewed |