Dynamics of spiral waves in the complex Ginzburg–Landau equation in bounded domains
Multiple-spiral-wave solutions of the general cubic complex Ginzburg–Landau equation in bounded domains are considered. We investigate the effect of the boundaries on spiral motion under homogeneous Neumann boundary conditions, for small values of the twist parameter . We derive explicit laws of mot...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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Elsevier
2020
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| _version_ | 1797057566387208192 |
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| author | Aguareles, M Chapman, SJ Witelski, T |
| author_facet | Aguareles, M Chapman, SJ Witelski, T |
| author_sort | Aguareles, M |
| collection | OXFORD |
| description | Multiple-spiral-wave solutions of the general cubic complex Ginzburg–Landau equation in bounded domains are considered. We investigate the effect of the boundaries on spiral motion under homogeneous Neumann boundary conditions, for small values of the twist parameter . We derive explicit laws of motion for rectangular domains and we show that the motion of spirals becomes exponentially slow when the twist parameter exceeds a critical value depending on the size of the domain. The oscillation frequency of multiple-spiral patterns is also analytically obtained. |
| first_indexed | 2024-03-06T19:38:16Z |
| format | Journal article |
| id | oxford-uuid:1fc4dd22-b19b-48dd-b790-828b677b3416 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T19:38:16Z |
| publishDate | 2020 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | oxford-uuid:1fc4dd22-b19b-48dd-b790-828b677b34162022-03-26T11:23:54ZDynamics of spiral waves in the complex Ginzburg–Landau equation in bounded domainsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:1fc4dd22-b19b-48dd-b790-828b677b3416EnglishSymplectic ElementsElsevier2020Aguareles, MChapman, SJWitelski, TMultiple-spiral-wave solutions of the general cubic complex Ginzburg–Landau equation in bounded domains are considered. We investigate the effect of the boundaries on spiral motion under homogeneous Neumann boundary conditions, for small values of the twist parameter . We derive explicit laws of motion for rectangular domains and we show that the motion of spirals becomes exponentially slow when the twist parameter exceeds a critical value depending on the size of the domain. The oscillation frequency of multiple-spiral patterns is also analytically obtained. |
| spellingShingle | Aguareles, M Chapman, SJ Witelski, T Dynamics of spiral waves in the complex Ginzburg–Landau equation in bounded domains |
| title | Dynamics of spiral waves in the complex Ginzburg–Landau equation in bounded domains |
| title_full | Dynamics of spiral waves in the complex Ginzburg–Landau equation in bounded domains |
| title_fullStr | Dynamics of spiral waves in the complex Ginzburg–Landau equation in bounded domains |
| title_full_unstemmed | Dynamics of spiral waves in the complex Ginzburg–Landau equation in bounded domains |
| title_short | Dynamics of spiral waves in the complex Ginzburg–Landau equation in bounded domains |
| title_sort | dynamics of spiral waves in the complex ginzburg landau equation in bounded domains |
| work_keys_str_mv | AT aguarelesm dynamicsofspiralwavesinthecomplexginzburglandauequationinboundeddomains AT chapmansj dynamicsofspiralwavesinthecomplexginzburglandauequationinboundeddomains AT witelskit dynamicsofspiralwavesinthecomplexginzburglandauequationinboundeddomains |