Basins of Attraction for Chimera States
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Basins of Attraction for Chimera States. / Martens, Erik Andreas; Panaggio, Mark; Abrams, Daniel.
In: New Journal of Physics, Vol. 18, 022002, 18.02.2016.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Basins of Attraction for Chimera States
AU - Martens, Erik Andreas
AU - Panaggio, Mark
AU - Abrams, Daniel
PY - 2016/2/18
Y1 - 2016/2/18
N2 - Chimera states---curious symmetry-broken states in systems of identical coupled oscillators---typically occur only for certain initial conditions. Here we analyze their basins of attraction in a simple system comprised of two populations. Using perturbative analysis and numerical simulation we evaluate asymptotic states and associated destination maps, and demonstrate that basins form a complex twisting structure in phase space. Understanding the basins' precise nature may help in the development of control methods to switch between chimera patterns, with possible technological and neural system applications.
AB - Chimera states---curious symmetry-broken states in systems of identical coupled oscillators---typically occur only for certain initial conditions. Here we analyze their basins of attraction in a simple system comprised of two populations. Using perturbative analysis and numerical simulation we evaluate asymptotic states and associated destination maps, and demonstrate that basins form a complex twisting structure in phase space. Understanding the basins' precise nature may help in the development of control methods to switch between chimera patterns, with possible technological and neural system applications.
KW - Faculty of Science
KW - coupled oscillators
KW - basins of attraction
KW - chimera states
KW - neural networks
U2 - 10.1088/1367-2630/18/2/022002
DO - 10.1088/1367-2630/18/2/022002
M3 - Journal article
VL - 18
JO - New Journal of Physics
JF - New Journal of Physics
SN - 1367-2630
M1 - 022002
ER -
ID: 132476831