Research Data Leeds Repository

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

Citation

Alrihieli, Haifaa and Rucklidge, Alastair and Subramanian, Priya (2020) Data for `Spatial localisation beyond steady states in the neighbourhood of the Takens-Bogdanov bifurcation’. University of Leeds. [Dataset] https://doi.org/10.5518/913¹

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 mathematics2
Divisions:	Faculty of Engineering and Physical Sciences > School of Mathematics3
Related resources:	Location Type https://doi.org/10.1093/imamat/hxab0304 Publication https://eprints.whiterose.ac.uk/175889/5 Publication
License:	Creative Commons Attribution 4.0 International (CC BY 4.0)
Date deposited:	17 Nov 2020 13:45
URI:	https://archive.researchdata.leeds.ac.uk/id/eprint/7766
Additional details Additional details Creators or authors: Creators ORCID Other ID Email Primary affiliation Primary affiliation ID Primary affiliation ID type Secondary affiliation Secondary affiliation ID Secondary affiliation ID type Alrihieli, Haifaa University of Tabuk https://ror.org/04yej8x59 ror Rucklidge, Alastair https://orcid.org/0000-0003-2985-09767 University of Leeds https://ror.org/024mrxd33 ror Subramanian, Priya https://orcid.org/0000-0001-7971-20918 University of Leeds https://ror.org/024mrxd33 ror 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: 15 Jul 2024 10:39

Files

Data

Figure 5b [2MB] 9 Figure 5b [2MB] 10 Figure 5b [2MB] 11 Security: Anyone File name: Figure5b_loc_SS_MW_rad0p7_th280.mp412 Content type: Data Mime-Type: video/mp4 License: Creative Commons Attribution 4.0 International (CC BY 4.0) File size: 2MB

Figure 10a [662kB] 13 Figure 10a [662kB] 14 Figure 10a [662kB] 15 Security: Anyone File name: Figure10a_loc_TW_T_rad0p1_th200.mp416 Content type: Data Mime-Type: video/mp4 License: Creative Commons Attribution 4.0 International (CC BY 4.0) File size: 662kB

Figure 11a [828kB] 17 Figure 11a [828kB] 18 Figure 11a [828kB] 19 Security: Anyone File name: Figure11a_loc_TW_SS_rad0p1_th170.mp420 Content type: Data Mime-Type: video/mp4 License: Creative Commons Attribution 4.0 International (CC BY 4.0) File size: 828kB

• 1. https://doi.org/10.5518/913
• 2. https://archive.researchdata.leeds.ac.uk/view/subjects/G120.html
• 3. https://archive.researchdata.leeds.ac.uk/view/divisions/SM/
• 4. https://doi.org/10.1093/imamat/hxab030
• 5. https://eprints.whiterose.ac.uk/175889/
• 6. https://archive.researchdata.leeds.ac.uk/id/eprint/776
• 7. https://orcid.org/0000-0003-2985-0976
• 8. https://orcid.org/0000-0001-7971-2091
• 9. https://archive.researchdata.leeds.ac.uk/776/1/Figure5b_loc_SS_MW_rad0p7_th280.mp4
• 10. https://archive.researchdata.leeds.ac.uk/776/1/Figure5b_loc_SS_MW_rad0p7_th280.mp4
• 11. https://archive.researchdata.leeds.ac.uk/776/1/Figure5b_loc_SS_MW_rad0p7_th280.mp4
• 12. https://archive.researchdata.leeds.ac.uk/776/1/Figure5b_loc_SS_MW_rad0p7_th280.mp4
• 13. https://archive.researchdata.leeds.ac.uk/776/2/Figure10a_loc_TW_T_rad0p1_th200.mp4
• 14. https://archive.researchdata.leeds.ac.uk/776/2/Figure10a_loc_TW_T_rad0p1_th200.mp4
• 15. https://archive.researchdata.leeds.ac.uk/776/2/Figure10a_loc_TW_T_rad0p1_th200.mp4
• 16. https://archive.researchdata.leeds.ac.uk/776/2/Figure10a_loc_TW_T_rad0p1_th200.mp4
• 17. https://archive.researchdata.leeds.ac.uk/776/3/Figure11a_loc_TW_SS_rad0p1_th170.mp4
• 18. https://archive.researchdata.leeds.ac.uk/776/3/Figure11a_loc_TW_SS_rad0p1_th170.mp4
• 19. https://archive.researchdata.leeds.ac.uk/776/3/Figure11a_loc_TW_SS_rad0p1_th170.mp4
• 20. https://archive.researchdata.leeds.ac.uk/776/3/Figure11a_loc_TW_SS_rad0p1_th170.mp4