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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Route to hyperchaos in Rayleigh-Benard convection

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Author(s):
Chertovskih, R. [1] ; Chimanski, E. V. [1] ; Rempel, E. L. [2, 1, 3]
Total Authors: 3
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
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 type: Regular Research Grants
FAPESP's process: 13/01242-8 - Generation of large-scale magnetic field by Rayleigh-Bénard convection
Grantee:Roman Chertovskikh
Support type: Scholarships in Brazil - Post-Doctorate