dorsal/arxiv
View SchemaSearch for low-dimensional chaos in a reversed field pinch plasma
| Authors | F. Sattin, E. Martines |
|---|---|
| Categories | |
| ArXiv ID | physics/9810014 |
| URL | https://arxiv.org/abs/physics/9810014 |
| DOI | 10.1063/1.873264 |
| Journal | Physics of Plasmas 6 (1999), p. 100-106 |
Abstract
An analysis of experimental data from the RFX (Reversed Field eXperiment) reversed field pinch machine [L. Fellin, P. Kusstatscher and G. Rostagni, Fusion Eng. Des. {\bf 25}, 315 (1995)] is carried out to investigate the possible existence of deterministic chaos in the edge plasma region. The mathematical tools used include Lyapunov exponents, Kaplan-Yorke dimension, minimum embedding dimension estimates and nonlinear forecasting. The whole analysis agrees in ruling out the possibility of low-dimensional chaos: The dimension of the underlying dynamical system is estimated to be $ > 10$. From a critical re-reading of the literature it emerges that the findings of this work are likely to be common to all reversed field pinches.
{
"annotation_id": "a260b923-7580-4f9b-a83d-87ebbbc1ad6d",
"date_created": "2026-03-02T18:01:21.355000Z",
"date_modified": "2026-03-02T18:01:21.355000Z",
"file_hash": "3bd19ad68bd766c5682f2537670b1a172aec194d8a087dee7587a5983fbd1795",
"private": false,
"record": {
"abstract": "An analysis of experimental data from the RFX (Reversed Field eXperiment)\nreversed field pinch machine [L. Fellin, P. Kusstatscher and G. Rostagni,\nFusion Eng. Des. {\\bf 25}, 315 (1995)] is carried out to investigate the\npossible existence of deterministic chaos in the edge plasma region. The\nmathematical tools used include Lyapunov exponents, Kaplan-Yorke dimension,\nminimum embedding dimension estimates and nonlinear forecasting. The whole\nanalysis agrees in ruling out the possibility of low-dimensional chaos: The\ndimension of the underlying dynamical system is estimated to be $ \u003e 10$. From a\ncritical re-reading of the literature it emerges that the findings of this work\nare likely to be common to all reversed field pinches.",
"arxiv_id": "physics/9810014",
"authors": [
"F. Sattin",
"E. Martines"
],
"categories": [
"physics.plasm-ph"
],
"doi": "10.1063/1.873264",
"journal_ref": "Physics of Plasmas 6 (1999), p. 100-106",
"title": "Search for low-dimensional chaos in a reversed field pinch plasma",
"url": "https://arxiv.org/abs/physics/9810014"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "3c9079bc-6ad2-40cb-a0cc-af9b95b39ad9",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}