On the dynamics of the critical Harper map

Datta, S. ; Jäger, T. ; Keller, G. ; Ramaswamy, R. (2004) On the dynamics of the critical Harper map Nonlinearity, 17 (6). Article ID 2315. ISSN 0951-7715

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Official URL: http://iopscience.iop.org/0951-7715/17/6/017/

Related URL: http://dx.doi.org/10.1088/0951-7715/17/6/017


We examine the behaviour of typical orbits in the Harper map, a quasiperiodically driven skew-product dynamical system in two dimensions. When the map is critical, namely when all Lyapunov exponents vanish, the dynamics is parabolic.

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