Abstract:
It is proved, using a computer, that there exist symmetric analytic twist maps U and T which satisfy the fixed point equations\(\eqalign{U&=BTUTB^{-1},\crT&=BTUTUTB^{-1}.\cr}\) Here B is a diagonal 2 × 2 matrix. If U and T commute, then (U, T) is either a fixed point or period-three point for MacKay's renormalization factor.
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Received: 3 June 1996 / Accepted: 27 March 1997
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Stirnemann, A. Towards an Existence Proof of MacKay's Fixed Point . Comm Math Phys 188, 723–735 (1997). https://doi.org/10.1007/s002200050185
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DOI: https://doi.org/10.1007/s002200050185