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nlin.CD2026
Emergence of Gamma-Type Upward-Phase Statistics in the Collatz Map: An Effective Poisson Process Mechanism
Weicheng Fu, Xiaobin Liu, Yisen Wang
The Collatz map is a simple deterministic transformation whose orbit structure remains highly nontrivial. A recent direction-phase decomposition partitions each orbit into upward a…
nlin.CD2024★ 1 cited
The Structure of the Route to the Period-three Orbit in the Collatz Map
Weicheng Fu, Yisen Wang
This study analyzes the Collatz map through nonlinear dynamics. By embedding integers in Sharkovsky's ordering, we show that odd initial values suffice for full dynamical character…