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.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-02-11
DOI
https://doi.org/10.5281/zenodo.18614973
Primary Topic
Theoretical and Computational Physics
Type
article
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article

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

Lando Hiler
Zenodo (CERN European Organization for Nuclear Research)
Theoretical and Computational Physics
article

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

Lando Hiler
article en

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.

Zenodo (CERN European Organization for Nuclear Research)
Amberton University (US)
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Theoretical and Computational Physics
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Drift-Controlled Density Regimes in kx+1 Dynamical Systems: Ensemble Magnitude Growth and Coalescence Under N-Scaling — Lando Hiler · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS