Abstract
We analyse a class of mappings which by construction do not belong to the QRT family. We show that some of the members of this class have invariants of high degree. A new linearisable mapping is also identified. A mapping which possesses confined singularities while having nonzero algebraic entropy is presented. Its dynamics are studied in detail and shown to be related intimately to the Fibonacci recurrence.
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Tsuda, T., Grammaticos, B., Ramani, A. et al. A Class of Integrable and Nonintegrable Mappings and their Dynamics. Lett Math Phys 82, 39–49 (2007). https://doi.org/10.1007/s11005-007-0200-0
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DOI: https://doi.org/10.1007/s11005-007-0200-0