Dynamic Structures of 2-adic Fibonacci Polynomials
classification
🧮 math.NT
math.DS
keywords
fibonaccipolynomialsadicdynamicminimalstructuresapplyattracting
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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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