Some Results on Dynamics of Newton Differential Equation
Anagnostopoulos, Antonis N.
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In this paper the case where the Newton differential equation defined by the Newton-Raphson iteration method equals a constant (namely 2) is investigated. The dynamics of these functions are examined by showing that the solution function can only be a M�bius transformation in the form of . The result obtained after the iterations carried out for the parameters a = 0.1 and b = 0.01 is the so-called �Fibonacci sequences�.
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