Download PDFOpen PDF in browserCurrent versionOn Generalized Convergence in Collatz Systems and δk + β Dynamical SystemsEasyChair Preprint no. 5247, version 117 pages•Date: March 30, 2021AbstractThe Collatz Conjecture belongs to the generalized class of Dynamical system δk + β, where δ = 3, β = 1.This paper establishes that such a system converges to β as long as the conditions are suitable. A full description of the Collatz system is given and formula derived for the reverse number, synchronized elements(those with similar Collatz Sequence) and closed forms that can help ease with the computation. Keyphrases: chaos theory, Collatz Conjecture, dynamical system
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