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August  2005, 5(3): 587-598. doi: 10.3934/dcdsb.2005.5.587

Bernoulli shift for second order recurrence relations near the anti-integrable limit

Yi-Chiuan Chen 1,

1. 

Institute of Mathematics, Academia Sinica, Taipei 11529, Taiwan

Received  September 2004 Revised  October 2004 Published  May 2005

We extend the anti-integrability theory of Aubry to non-autonomous twist maps between symplectic spaces to show the shift dynamics can be embedded in a natural way. Examples are given to illustrate that the embedded shift can be a full shift, a subshift of finite type or of infinite type.
Keywords: Anti-integrable limit, Symbolic dynamics., Non-autonomous maps.
Mathematics Subject Classification: Primary: 37B10, 37C60; Secondary: 37E40, 37J1.
Citation: Yi-Chiuan Chen. Bernoulli shift for second order recurrence relations near the anti-integrable limit. Discrete & Continuous Dynamical Systems - B, 2005, 5 (3) : 587-598. doi: 10.3934/dcdsb.2005.5.587
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