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arXiv · 1903.05735

Dynamic Structures of 2-adic Fibonacci Polynomials

Myunghyun Jung·Donggyun Kim·Kyunghwan Song
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Abstract

We prove recurrence relations and modulo periodic properties of multiple derivatives of Fibonacci polynomials. We apply the obtained results to present the dynamic structures of Fibonacci polynomials over the ring of 2-adic integers by investigating minimal decompositions which consist of minimal subsystems and attracting basins.

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Myunghyun Jung, Donggyun Kim, Kyunghwan Song. 2019-03-13. Dynamic Structures of 2-adic Fibonacci Polynomials. https://arxiv.org/abs/1903.05735

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