Drift-Controlled Density Regimes in kx+1 Dynamical Systems: Ensemble Magnitude Growth and Coalescence Under N-Scaling

Computational study of ensemble dynamics in generalized kx+1 maps. Shows k=3 exhibits bounded magnitude with persistent collision density under N-scaling, while k≥4 shows expanding magnitude with diluting collisions. Based on simulations up to N=200,000, T=160.

Related Organizations

Amberton University
United States

Keywords

Collatz conjecture, kx+1 maps, ensemble dynamics, computational number theory, dynamical systems, density regimes

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