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(Referência obtida automaticamente do Web of Science, por meio da informação sobre o financiamento pela FAPESP e o número do processo correspondente, incluída na publicação pelos autores.)

Reconstruction of chaotic saddles by classification of unstable periodic orbits: Kuramoto-Sivashinsky equation

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Autor(es):
Saiki, Yoshitaka [1] ; Yamada, Michio [2] ; Chian, Abraham C. -L. [3, 4, 5, 6, 7, 8] ; Miranda, Rodrigo A. [9, 10] ; Rempel, Erico L. [6, 7]
Número total de Autores: 5
Afiliação do(s) autor(es):
[1] Hitotsubashi Univ, Grad Sch Commerce & Management, Tokyo 1868601 - Japan
[2] Kyoto Univ, RIMS, Kyoto 6068502 - Japan
[3] Univ Adelaide, Sch Math Sci, Adelaide, SA 5005 - Australia
[4] Observ Paris, CNRS, LESIA, F-92195 Meudon - France
[5] Natl Inst Space Res INPE, BR-12227010 Sao Paulo - Brazil
[6] Inst Aeronaut Technol ITA, BR-12228900 Sao Jose Dos Campos, SP - Brazil
[7] WISER, BR-12228900 Sao Jose Dos Campos, SP - Brazil
[8] George Washington Univ, Dept Biomed Engn, Washington, DC 20052 - USA
[9] Univ Brasilia, Fac UnB Gama, BR-70910900 Brasilia, DF - Brazil
[10] Univ Brasilia, Plasma Phys Lab, Inst Phys, BR-70910900 Brasilia, DF - Brazil
Número total de Afiliações: 10
Tipo de documento: Artigo Científico
Fonte: Chaos; v. 25, n. 10 OCT 2015.
Citações Web of Science: 3
Resumo

The unstable periodic orbits (UPOs) embedded in a chaotic attractor after an attractor merging crisis (MC) are classified into three subsets, and employed to reconstruct chaotic saddles in the Kuramoto-Sivashinsky equation. It is shown that in the post-MC regime, the two chaotic saddles evolved from the two coexisting chaotic attractors before crisis can be reconstructed from the UPOs embedded in the pre-MC chaotic attractors. The reconstruction also involves the detection of the mediating UPO responsible for the crisis, and the UPOs created after crisis that fill the gap regions of the chaotic saddles. We show that the gap UPOs originate from saddle-node, period-doubling, and pitchfork bifurcations inside the periodic windows in the post-MC chaotic region of the bifurcation diagram. The chaotic attractor in the post-MC regime is found to be the closure of gap UPOs. (C) 2015 AIP Publishing LLC. (AU)

Processo FAPESP: 13/22314-7 - Campos magnéticos e dínamos em plasmas espaciais e astrofísicos II
Beneficiário:Erico Luiz Rempel
Modalidade de apoio: Auxílio à Pesquisa - Regular