Saved in:
| Main Author: | |
|---|---|
| Format: | Recurso digital |
| Language: | |
| Published: |
Zenodo
2026
|
| Online Access: | https://doi.org/10.5281/zenodo.18392551 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866901801554411520 |
|---|---|
| author | Hala, Ahmed M. |
| author_facet | Hala, Ahmed M. |
| contents | <p>We report the discovery of a discrete manifold emerging from the Successive Controlled Collapse (SCC) of the Hala Attractor. By applying a state-dependent damping operator γ to a chaotic flow, we demonstrate the transformation of a continuous strange attractor into a stable constellation of 150 non-overlapping fixed points. Notably, the use of γ-ramping reveals a ”cyan cluster” of transient ghost fixed points near (6.56, 5.56, 27), which are normally suppressed in autonomous dynamics. The high-precision separation (≈ 1.7 × 10−9) and the repetitive nature of this manifold suggest a deterministic mechanism for converting analog entropy into quantized, addressable phase-space states.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18392551 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Topologically Discretized Constellations in the Lorenz-Hala System Hala, Ahmed M. <p>We report the discovery of a discrete manifold emerging from the Successive Controlled Collapse (SCC) of the Hala Attractor. By applying a state-dependent damping operator γ to a chaotic flow, we demonstrate the transformation of a continuous strange attractor into a stable constellation of 150 non-overlapping fixed points. Notably, the use of γ-ramping reveals a ”cyan cluster” of transient ghost fixed points near (6.56, 5.56, 27), which are normally suppressed in autonomous dynamics. The high-precision separation (≈ 1.7 × 10−9) and the repetitive nature of this manifold suggest a deterministic mechanism for converting analog entropy into quantized, addressable phase-space states.</p> |
| title | Topologically Discretized Constellations in the Lorenz-Hala System |
| url | https://doi.org/10.5281/zenodo.18392551 |