Synchronization and Oscillator Death in Diffusively coupled lattice oscillators
2003 ◽
Vol 8
(1)
◽
pp. 67
Keyword(s):
We consider the synchronization and cessation of oscillation of a positive even number of planar oscillators that are coupled to their nearest neighbours on one, two, and three dimensional integer lattices via a linear and symmetric diffusion-like path. Each oscillator has a unique periodic solution that is attracting. We show that for certain coupling strength there are both symmetric and antisymmetric synchronization that corresponds to symmetric and antisymmetric non-constant periodic solutions respectively. Symmetric synchronization persists for all coupling strengths while the antisymmetric case exists for only weak coupling strength and disappears to the origin after a certain coupling strength.
1966 ◽
Vol 25
◽
pp. 197-222
◽
Keyword(s):
2006 ◽
Vol 73
(2)
◽
pp. 175-182
◽
2021 ◽
Vol 31
(10)
◽
pp. 2150147
2013 ◽
Vol 22
(03)
◽
pp. 1350029
2018 ◽
Vol 28
(06)
◽
pp. 1850072
◽
2014 ◽
Vol 11
(S308)
◽
pp. 589-590
◽
Keyword(s):