Oseledets' multiplicative ergodic theorem and Lyapunov exponents

  • Mauro Artigiani
  • Published 2013

Abstract

The local behaviour of a dynamical system on a manifold M given by the iterations of a di erentiable map T : M →M can be investigated by studying its di erential. Under the Jacobian DT (x), a small sphere centred at a point x ∈M is, approximately, mapped to an ellipsoid centred at Tx. Subsequent applications of the derivative along the orbit of x stretch… (More)

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