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

Two-parameter bifurcation study of the regularized long-wave equation

Full text
Author(s):
Podvigina, O. [1] ; Zheligovsky, V. [1] ; Rempel, E. L. [2, 3, 4] ; Chian, A. C. -L. [2, 3, 5, 4] ; Chertovskih, R. [4] ; Munoz, P. R. [4, 6]
Total Authors: 6
Affiliation:
[1] Russian Acad Sci, Inst Earthquake Predict Theory & Math Geophys, Moscow 117997 - Russia
[2] Natl Inst Space Res INPE, BR-12227010 Sao Jose Dos Campos, SP - Brazil
[3] WISER, BR-12227010 Sao Jose Dos Campos, SP - Brazil
[4] Inst Aeronaut Technol IEFM ITA, BR-12228900 Sao Jose Dos Campos, SP - Brazil
[5] Univ Adelaide, Sch Math Sci, Adelaide, SA 5005 - Australia
[6] Univ La Serena, Dept Fis & Astron, La Serena - Chile
Total Affiliations: 6
Document type: Journal article
Source: Physical Review E; v. 92, n. 3 SEP 14 2015.
Web of Science Citations: 0
Abstract

We perform a two-parameter bifurcation study of the driven-damped regularized long-wave equation by varying the amplitude and phase of the driver. Increasing the amplitude of the driver brings the system to the regime of spatiotemporal chaos (STC), a chaotic state with a large number of degrees of freedom. Several global bifurcations are found, including codimension-two bifurcations and homoclinic bifurcations involving three-tori and the manifolds of steady waves, leading to the formation of chaotic saddles in the phase space. We identify four distinct routes to STC; they depend on the phase of the driver and involve boundary and interior crises, intermittency, the Ruelle-Takens scenario, the Feigenbaum cascade, an embedded saddle-node, homoclinic, and other bifurcations. This study elucidates some of the recently reported dynamical phenomena. (AU)

FAPESP's process: 11/10466-1 - Turbulence and coherent structures in astrophysical plasmas
Grantee:Pablo Rubén Muñoz Gutberlet
Support type: Scholarships in Brazil - Post-Doctorate
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: 12/22243-0 - Magnetic dynamos driven by turbulent flows
Grantee:Erico Luiz Rempel
Support type: Research Grants - Visiting Researcher Grant - International
FAPESP's process: 12/22285-4 - Transition to spatio-temporal chaos in the regularized long-wave equation
Grantee:Erico Luiz Rempel
Support type: Research Grants - Visiting Researcher Grant - International
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