TY  - JOUR
A1  - Chigarev, Vladimir
A1  - Kazakov, Alexey
A1  - Pikovsky, Arkady
T1  - Kantorovich-Rubinstein-Wasserstein distance between overlapping attractor and repeller
JF  - Chaos : an interdisciplinary journal of nonlinear science
N2  - 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.
Y1  - 2020
U6  - https://doi.org/10.1063/5.0007230
SN  - 1054-1500
SN  - 1089-7682
VL  - 30
IS  - 7
PB  - American Institute of Physics
CY  - Melville
ER  -