Drift for Euclidean extensions of dynamical

  title={Drift for Euclidean extensions of dynamical},
  author={systemsPeter and Ashwin and Ian and Melbourneyand and Matthew Nicol},
We consider the behaviour of generic special Euclidean (SE(n)) group extensions of dynamical systems that are chaotic or quasiperiodic. Results of Nicol et al (1999) 13] show that for a generic extension of a chaotic base dynamics, one will see a Brownian-like random walk if n > 1 is odd or if n = 2. For SE(2)-extensions of quasiperiodic dynamics, there is bounded motion for almost all smooth enough extensions. 

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