Dynamics of Chebyshev polynomials on $\mathbb{Z}_{2}$

preprint2015arXivOpen access

The dynamical structure of Chebyshev polynomials on $\mathbb{Z}_2$ , the ring of $2$ -adic integers, is fully described by showing all its minimal subsystems and their attracting basins.

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Dynamics of Chebyshev polynomials on $\mathbb{Z}_{2}$

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Dynamics of Chebyshev polynomials on Z2\mathbb{Z}_{2}Z2​

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Dynamics of Chebyshev polynomials on $\mathbb{Z}_{2}$