Bernoulli shift for second order recurrence relations near the anti-integrable limit. (English) Zbl 1081.37007
Summary: We extend the anti-integrability theory of Aubry to nonautonomous twist maps among symplectic spaces to show that 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.
MSC:
| 37B10 | Symbolic dynamics |
| 37C60 | Nonautonomous smooth dynamical systems |
| 37E40 | Dynamical aspects of twist maps |
| 37J10 | Symplectic mappings, fixed points (dynamical systems) (MSC2010) |
