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- W2993606314 abstract "We give the full descriptions of the dynamical behaviour of the Potts–Bethe mapping of degree four on ℚ5. For a, b ∈ ℚ5, the Potts–Bethe mapping is written as follows fa,b(x)=(ax+bx+a+b−1)4.(1)When |a − 1|5 < |b + 1|5 < 1, there exists a subsystem (𝒥, fa,b) that is topologically conjugate to the chaotic full shift dynamics on four symbols. We also show that for any initial point x∈ ℚ5(J∪∪j=0∞fa,b−j{ 1−a−b }), the trajectory of the Potts–Bethe mapping converges to a unique attracting fixed point." @default.
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- W2993606314 date "2019-01-01" @default.
- W2993606314 modified "2023-09-25" @default.
- W2993606314 title "Dynamics of Potts–Bethe mapping of degree four on ℚ5" @default.
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- W2993606314 doi "https://doi.org/10.1063/1.5136355" @default.
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