Partial synchronization : from symmetry towards stability

  title={Partial synchronization : from symmetry towards stability},
  author={Alexander Yu Pogromsky and Giovanni Santoboni and Henk H. Nijmeijer},
In this paper we study the existence and stability of linear invariant manifolds in a network of coupled identical dynamical systems. Symmetry under permutation of different units of the network is helpful to construct explicit formulae for linear invariant manifolds of the network, in order to classify them, and to examine their stability through Lyapunov’s direct method. © 2002 Elsevier Science B.V. All rights reserved. PACS:05.45.X; 05.45.P 
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