Collective Lyapunov modes

  title={Collective Lyapunov modes},
  author={Kazumasa A. Takeuchi and Hugues Chat'e},
  journal={Journal of Physics A: Mathematical and Theoretical},
  • K. Takeuchi, H. Chat'e
  • Published 24 July 2012
  • Physics, Mathematics
  • Journal of Physics A: Mathematical and Theoretical
We show, using covariant Lyapunov vectors in addition to standard Lyapunov analysis, that there exists a set of collective Lyapunov modes in large chaotic systems exhibiting collective dynamics. Associated with delocalized Lyapunov vectors, they act collectively on the trajectory and hence characterize the instability of its collective dynamics. We further develop, for globally coupled systems, a connection between these collective modes and the Lyapunov modes in the corresponding Perron… 
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