Research Data Leeds Repository

Data for `Spatial localisation beyond steady states in the neighbourhood of the Takens-Bogdanov bifurcation’

Alrihieli, H and Rucklidge, AM and Subramanian, P (2020) Data for `Spatial localisation beyond steady states in the neighbourhood of the Takens-Bogdanov bifurcation’. University of Leeds. [Dataset] https://doi.org/10.5518/913

Dataset description

Three movies for different solutions discussed in the associated paper. Figure5b_loc_SS_MW_rad0p7_th280 : An example of localized steady state with modulated wave (MW) solutions background obtained from time stepping. The blue and red curves refer to u and ut , respectively. See the paper for details of system parameters and more details. Figure10a_loc_TW_T_rad0p1_th200 : An example of localised travelling wave (LTW) with trivial state (TS) background. The blue and red curves refer to $u$ and $u_t$, and the waves travel to the right. See the paper for details of system parameters and more details. Figure11a_loc_TW_SS_rad0p1_th170 : An example of localised travelling wave (LTW) with steady state (SS) background. The blue and red curves refer to $u$ and $u_t$ and the wave travels to the right

Keywords:	Mathematics, Pattern formation, Takens-Bogdanov bifurcation, Spatial Localisation
Subjects:	G000 - Mathematical sciences > G100 - Mathematics > G120 - Applied mathematics
Divisions:	Faculty of Mathematics and Physical Sciences > School of Mathematics
License:	Creative Commons Attribution 4.0 International (CC BY 4.0)
Date deposited:	17 Nov 2020 13:45
URI:	http://archive.researchdata.leeds.ac.uk/id/eprint/776
Additional details Additional details Creators: Creators ORCID Other ID Email Primary affiliation Primary affiliation ID Primary affiliation ID type Secondary affiliation Secondary affiliation ID Secondary affiliation ID type Alrihieli, H University of Tabuk https://doi.org/10.13039/100009391 crossref Rucklidge, AM https://orcid.org/0000-0003-2985-0976 University Of Leeds https://doi.org/10.13039/501100000777 crossref Subramanian, P https://orcid.org/0000-0001-7971-2091 University Of Leeds https://doi.org/10.13039/501100000777 crossref Type of data: Dataset Research funders: Tabuk University in Saudi Arabia, L’Oreal UK and Ireland Women in Science fellowship, Leverhulme Trust Grant numbers: RF-2018-449/9 Publication date: 2020 Resource language: English Metadata language: English Research project title: Spatial localisation beyond steady states in the neighbourhood of the Takens-Bogdanov bifurcation Publisher: University of Leeds Last Modified: 17 Nov 2020 23:35

Files

Data

Figure 5b [2MB] Figure 5b [2MB] Figure 5b [2MB] Visible to: Anyone File name: Figure5b_loc_SS_MW_rad0p7_th280.mp4 Content type: Data Mime-Type: video/mp4 License: Creative Commons Attribution 4.0 International (CC BY 4.0) File size: 2MB

Figure 10a [662kB] Figure 10a [662kB] Figure 10a [662kB] Visible to: Anyone File name: Figure10a_loc_TW_T_rad0p1_th200.mp4 Content type: Data Mime-Type: video/mp4 License: Creative Commons Attribution 4.0 International (CC BY 4.0) File size: 662kB

Figure 11a [828kB] Figure 11a [828kB] Figure 11a [828kB] Visible to: Anyone File name: Figure11a_loc_TW_SS_rad0p1_th170.mp4 Content type: Data Mime-Type: video/mp4 License: Creative Commons Attribution 4.0 International (CC BY 4.0) File size: 828kB