The search for the lost attractor Article Swipe
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2311.16306
N-body systems characterized by inverse square attractive forces may display a self similar collapse known as the gravo-thermal catastrophe. In star clusters, collapse is halted by binary stars, and a large fraction of Milky Way clusters may have already reached this phase. It has been speculated -- with guidance from simulations -- that macroscopic variables such as central density and velocity dispersion are governed post-collapse by an effective, low-dimensional system of ODEs. It is still hard to distinguish chaotic, low dimensional motion, from high dimensional stochastic noise. Here we apply three machine learning tools to state-of-the-art dynamical simulations to constrain the post collapse dynamics: topological data analysis (TDA) on a lag embedding of the relevant time series, Sparse Identification of Nonlinear Dynamics (SINDY), and Tests of Accuracy with Random Points (TARP).
Related Topics
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2311.16306
- https://arxiv.org/pdf/2311.16306
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4389157419
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4389157419Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.48550/arxiv.2311.16306Digital Object Identifier
- Title
-
The search for the lost attractorWork title
- Type
-
preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
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2023Year of publication
- Publication date
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2023-11-27Full publication date if available
- Authors
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Mario Pasquato, Syphax Haddad, Pierfrancesco Di Cintio, Alexandre Adam, Pablo Lemos, Noé Dia, Mircea Petrache, Ugo N Di Carlo, Alessandro A. Trani, Laurence Perreault-Levasseur, Yashar HezavehList of authors in order
- Landing page
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https://arxiv.org/abs/2311.16306Publisher landing page
- PDF URL
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https://arxiv.org/pdf/2311.16306Direct link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
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greenOpen access status per OpenAlex
- OA URL
-
https://arxiv.org/pdf/2311.16306Direct OA link when available
- Concepts
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Statistical physics, Chaotic, Attractor, Physics, Milky Way, Series (stratigraphy), Embedding, Stars, Classical mechanics, Mathematics, Computer science, Mathematical analysis, Astrophysics, Artificial intelligence, Paleontology, BiologyTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
- Related works (count)
-
10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.clusters, | 21 |
| abstract_inverted_index.constrain | 99 |
| abstract_inverted_index.dynamical | 96 |
| abstract_inverted_index.dynamics: | 103 |
| abstract_inverted_index.embedding | 111 |
| abstract_inverted_index.variables | 54 |
| abstract_inverted_index.attractive | 6 |
| abstract_inverted_index.dispersion | 61 |
| abstract_inverted_index.effective, | 67 |
| abstract_inverted_index.speculated | 45 |
| abstract_inverted_index.stochastic | 85 |
| abstract_inverted_index.dimensional | 80, 84 |
| abstract_inverted_index.distinguish | 77 |
| abstract_inverted_index.macroscopic | 53 |
| abstract_inverted_index.simulations | 50, 97 |
| abstract_inverted_index.topological | 104 |
| abstract_inverted_index.catastrophe. | 18 |
| abstract_inverted_index.characterized | 2 |
| abstract_inverted_index.gravo-thermal | 17 |
| abstract_inverted_index.post-collapse | 64 |
| abstract_inverted_index.Identification | 118 |
| abstract_inverted_index.low-dimensional | 68 |
| abstract_inverted_index.state-of-the-art | 95 |
| cited_by_percentile_year | |
| countries_distinct_count | 0 |
| institutions_distinct_count | 11 |
| citation_normalized_percentile |