Symmetry-broken states on networks of coupled oscillators.
When identical oscillators are coupled together in a network, dynamical steady states are often assumed to reflect network symmetries. Here, we show that alternative persistent states may also exist that break the symmetries of the underlying coupling network. We further show that these symmetry-broken coexistent states are analogous to those dubbed "chimera states," which can occur when identical oscillators are coupled to one another in identical ways.
Department of Engineering Sciences and Applied Mathematics, Northwestern University, Evanston, Illinois 60208, USA.|LMIB and School of Mathematics and Systems Science, Beihang University, Beijing 100191, China.
Xin
X
Jiang
Department of Engineering Sciences and Applied Mathematics, Northwestern University, Evanston, Illinois 60208, USA.|Northwestern Institute for Complex Systems, Northwestern University, Evanston, Illinois 60208, USA.|Department of Physics and Astronomy, Northwestern University, Evanston, Illinois 60208, USA.
Daniel M
DM
Abrams