Chemical and biological processes in chaotic dynamics fluids
Conformal invariance of the probability density function for passive scalar fields...
III Workshop and School on Dynamics, Transport and Control in Complex Networks (Co...
| Full text | |
| Author(s): |
Viana, Ricardo L.
;
Mathias, Amanda C.
;
Souza, Leonardo C.
;
Haerter, Pedro
Total Authors: 4
|
| Document type: | Journal article |
| Source: | Chaos; v. 34, n. 5, p. 12-pg., 2024-05-01. |
| Abstract | |
The advection of passive scalars in time-independent two-dimensional incompressible fluid flows is an integrable Hamiltonian system. It becomes non-integrable if the corresponding stream function depends explicitly on time, allowing the possibility of chaotic advection of particles. We consider for a specific model (double gyre flow), a given number of exits through which advected particles can leak, without disturbing the flow itself. We investigate fractal escape basins in this problem and characterize fractality by computing the uncertainty exponent and basin entropy. Furthermore, we observe the presence of basin boundaries with points exhibiting the Wada property, i.e., boundary points that separate three or more escape basins. (AU) | |
| FAPESP's process: | 23/16146-6 - Dynamics and transport in nonlinear symplectic map lattices |
| Grantee: | Leonardo Costa de Souza |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |