| Full text | |
| Author(s): |
de Oliveira, Vitor M.
;
Palmero, Matheus S.
;
Caldas, Ibere L.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | PHYSICA D-NONLINEAR PHENOMENA; v. 431, p. 12-pg., 2022-03-01. |
| Abstract | |
Hamiltonian systems that are either open, leaking, or contain holes in the phase space possess solutions that eventually escape the system's domain. The motion described by such escape orbits before crossing the escape threshold can be understood as a transient behavior. In this work, we introduce a numerical method to visually illustrate and quantify the transient motion in Hamiltonian systems based on the transient measure, a finite-time version of the natural measure. We apply this method to two physical systems: the single-null divertor tokamak, described by a symplectic map, and the Earth-Moon system, as modeled by the planar circular restricted three-body problem. Our results portray how different locations for the ensemble of initial conditions may lead to different transient dynamical scenarios in both systems. We show that these scenarios can be properly quantified from a geometrical aspect, the transient correlation dimension, and a dynamical aspect, the transient complexity coefficient. (C) 2021 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 18/03211-6 - Non linear dynamics |
| Grantee: | Iberê Luiz Caldas |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 18/03000-5 - Chaotic transport in symplectic maps: Applications in plasma |
| Grantee: | Matheus Palmero Silva |
| Support Opportunities: | Scholarships in Brazil - Doctorate |