Kantorovich-Rubinstein-Wasserstein distance between overlapping attractor and repeller
We consider several examples of dynamical systems demonstrating overlapping attractor and repeller. These systems are constructed via introducing controllable dissipation to prototypic models with chaotic dynamics (Anosov cat map, Chirikov standard map, and incompressible three-dimensional flow of the ABC-type on a three-torus) and ergodic non-chaotic behavior (skew-shift map). We employ the Kantorovich-Rubinstein-Wasserstein distance to characterize the difference between the attractor and the repeller, in dependence on the dissipation level.
| Medienart: |
E-Artikel |
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| Erscheinungsjahr: |
2020 |
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| Erschienen: |
2020 |
| Enthalten in: |
Zur Gesamtaufnahme - volume:30 |
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| Enthalten in: |
Chaos (Woodbury, N.Y.) - 30(2020), 7 vom: 04. Juli, Seite 073114 |
| Sprache: |
Englisch |
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| Beteiligte Personen: |
Chigarev, Vladimir [VerfasserIn] |
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| Anmerkungen: |
Date Completed 05.08.2020 Date Revised 05.08.2020 published: Print Citation Status PubMed-not-MEDLINE |
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| doi: |
10.1063/5.0007230 |
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| funding: |
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| Förderinstitution / Projekttitel: |
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| PPN (Katalog-ID): |
NLM313278822 |
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| 500 | |a published: Print | ||
| 500 | |a Citation Status PubMed-not-MEDLINE | ||
| 520 | |a We consider several examples of dynamical systems demonstrating overlapping attractor and repeller. These systems are constructed via introducing controllable dissipation to prototypic models with chaotic dynamics (Anosov cat map, Chirikov standard map, and incompressible three-dimensional flow of the ABC-type on a three-torus) and ergodic non-chaotic behavior (skew-shift map). We employ the Kantorovich-Rubinstein-Wasserstein distance to characterize the difference between the attractor and the repeller, in dependence on the dissipation level | ||
| 650 | 4 | |a Journal Article | |
| 700 | 1 | |a Kazakov, Alexey |e verfasserin |4 aut | |
| 700 | 1 | |a Pikovsky, Arkady |e verfasserin |4 aut | |
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