Bernoulli shift for second order recurrence relations near theanti-integrable limit

Yi-Chiuan Chen

doi:10.3934/dcdsb.2005.5.587

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2005, Volume 5, Issue 3: 587-598. Doi: 10.3934/dcdsb.2005.5.587

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

Yi-Chiuan Chen^1,

1.
Institute of Mathematics, Academia Sinica, Taipei 11529

Received: August 31, 2004

Revised: September 30, 2004

Published: July 2005

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Abstract

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.

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Mathematics Subject Classification: Primary: 37B10, 37C60; Secondary: 37E40, 37J10.

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