Drift-Controlled Density Regimes in kx+1 Dynamical Systems: Ensemble Magnitude Growth and Coalescence Under N-Scaling
Abstract
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.
Fields of Study & Subjects
Mathematical Dynamics and Fractals
Complex Systems and Dynamics
Cellular Automata and Applications
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 11 February 2026
- Language
- EN