| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Aeronaut Inst Technol, BR-12228900 Sao Jose Dos Campos, SP - Brazil
[2] Natl Inst Space Res, BR-12227010 Sao Jose Dos Campos, SP - Brazil
[3] World Inst Space Environm Res, BR-12227010 Sao Jose Dos Campos, SP - Brazil
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | EPL; v. 112, n. 1 OCT 2015. |
| Web of Science Citations: | 3 |
| Abstract | |
Transition to hyperchaotic regimes in Rayleigh-Benard convection in a square periodicity cell is studied by three-dimensional numerical simulations. By fixing the Prandtl number at P = 0.3 and varying the Rayleigh number as a control parameter, a bifurcation diagram is constructed where a route to hyperchaos involving quasiperiodic regimes with two and three incommensurate frequencies, multistability, chaotic intermittent attractors and a sequence of boundary and interior crises is shown. The three largest Lyapunov exponents exhibit a linear scaling with the Rayleigh number and are positive in the final hyperchaotic attractor. Thus, a route to weak turbulence is found. Copyright (C) EPLA, 2015 (AU) | |
| FAPESP's process: | 13/22314-7 - Magnetic fields and dynamos in space and astrophysical plasmas II |
| Grantee: | Erico Luiz Rempel |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 13/01242-8 - Generation of large-scale magnetic field by Rayleigh-Bénard convection |
| Grantee: | Roman Chertovskikh |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |