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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: https://archive.researchdata.leeds.ac.uk/id/eprint/776

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