| Full text | |
| Author(s): |
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]
Total Authors: 5
|
| Affiliation: | [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
Total Affiliations: 10
|
| Document type: | Journal article |
| Source: | Chaos; v. 25, n. 10 OCT 2015. |
| Web of Science Citations: | 3 |
| Abstract | |
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) | |
| 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 |