TY - JOUR
T1 - Partial synchronization: from symmetry towards stability
AU - Pogromsky, A.Y.
AU - Santoboni, G.
AU - Nijmeijer, H.
PY - 2002
Y1 - 2002
N2 - In this paper we study the existence and stability of linearinvariant manifolds in a network of coupled identical dynamicalsystems. Symmetry under permutation of different units of thenetwork is helpful to construct explicit formulae for linearinvariant manifolds of the network, in order to classify them, andto examine their stability through Lyapunov's direct method.
AB - In this paper we study the existence and stability of linearinvariant manifolds in a network of coupled identical dynamicalsystems. Symmetry under permutation of different units of thenetwork is helpful to construct explicit formulae for linearinvariant manifolds of the network, in order to classify them, andto examine their stability through Lyapunov's direct method.
U2 - 10.1016/S0167-2789(02)00654-1
DO - 10.1016/S0167-2789(02)00654-1
M3 - Article
SN - 0167-2789
VL - 172
SP - 65
EP - 87
JO - Physica D: Nonlinear Phenomena
JF - Physica D: Nonlinear Phenomena
IS - 1-4
ER -