Journal
CHAOS
Volume 30, Issue 7, Pages -Publisher
AMER INST PHYSICS
DOI: 10.1063/5.0007230
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Funding
- 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 Foundation [20-11-18033] Funding Source: Russian Science Foundation
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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.
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