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.
| Author details: | Vladimir ChigarevORCiD, Alexey Kazakov, Arkady PikovskyORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1063/5.0007230 |
| ISSN: | 1054-1500 |
| ISSN: | 1089-7682 |
| Pubmed ID: | https://pubmed.ncbi.nlm.nih.gov/32752643 |
| Title of parent work (English): | Chaos : an interdisciplinary journal of nonlinear science |
| Publisher: | American Institute of Physics |
| Place of publishing: | Melville |
| Publication type: | Article |
| Language: | English |
| Date of first publication: | 2020/07/07 |
| Publication year: | 2020 |
| Release date: | 2023/10/20 |
| Volume: | 30 |
| Issue: | 7 |
| Number of pages: | 10 |
| Funding institution: | RSF Russian Science Foundation (RSF) [17-11-01041]; Laboratory of Dynamical Systems and Applications NRU HSE of the Russian Ministry of; Science and Higher Education [075-15-2019-1931]; Ministry of Science and; Higher Education of Russian Federation [0729-2020-0036]; Russian Science; FoundationRussian Science Foundation (RSF) [20-11-18033] Funding Source:; Russian Science Foundation |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| DDC classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
| Peer review: | Referiert |
