Diffusion instability in a threevariable reaction-diffusion model
Investigation of occurrence of diffusion instability in a set of three reaction-diffusion equations is carried out. In the general case the condition for both Turing and wave instabilities are obtained. Qualitative properties of the system, in which the bifurcation of each of the two types can take...
| Main Authors: | , |
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| Format: | Article |
| Language: | Russian |
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Institute of Computer Science
2011-06-01
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| Series: | Компьютерные исследования и моделирование |
| Subjects: | |
| Online Access: | http://crm.ics.org.ru/uploads/crmissues/crm_2011_2/11203.pdf |
| _version_ | 1818957787213856768 |
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| author | Maria Yur'evna Borina A. A. Polezhaev |
| author_facet | Maria Yur'evna Borina A. A. Polezhaev |
| author_sort | Maria Yur'evna Borina |
| collection | DOAJ |
| description | Investigation of occurrence of diffusion instability in a set of three reaction-diffusion equations is carried out. In the general case the condition for both Turing and wave instabilities are obtained. Qualitative properties of the system, in which the bifurcation of each of the two types can take place, are clarified. In numerical experiments it is shown that if the corresponding conditions are met in the nonlinear model, spatiotemporal patterns are formed, which are predicted by linear analysis. |
| first_indexed | 2024-12-20T11:15:24Z |
| format | Article |
| id | doaj.art-cc7c13f186c14e718da30ba288c6f6a3 |
| institution | Directory Open Access Journal |
| issn | 2076-7633 2077-6853 |
| language | Russian |
| last_indexed | 2024-12-20T11:15:24Z |
| publishDate | 2011-06-01 |
| publisher | Institute of Computer Science |
| record_format | Article |
| series | Компьютерные исследования и моделирование |
| spelling | doaj.art-cc7c13f186c14e718da30ba288c6f6a32022-12-21T19:42:38ZrusInstitute of Computer ScienceКомпьютерные исследования и моделирование2076-76332077-68532011-06-013213514610.20537/2076-7633-2011-3-2-135-1461781Diffusion instability in a threevariable reaction-diffusion modelMaria Yur'evna BorinaA. A. PolezhaevInvestigation of occurrence of diffusion instability in a set of three reaction-diffusion equations is carried out. In the general case the condition for both Turing and wave instabilities are obtained. Qualitative properties of the system, in which the bifurcation of each of the two types can take place, are clarified. In numerical experiments it is shown that if the corresponding conditions are met in the nonlinear model, spatiotemporal patterns are formed, which are predicted by linear analysis.http://crm.ics.org.ru/uploads/crmissues/crm_2011_2/11203.pdfdiffusion instabilityTuring instabilitywave instability |
| spellingShingle | Maria Yur'evna Borina A. A. Polezhaev Diffusion instability in a threevariable reaction-diffusion model Компьютерные исследования и моделирование diffusion instability Turing instability wave instability |
| title | Diffusion instability in a threevariable reaction-diffusion model |
| title_full | Diffusion instability in a threevariable reaction-diffusion model |
| title_fullStr | Diffusion instability in a threevariable reaction-diffusion model |
| title_full_unstemmed | Diffusion instability in a threevariable reaction-diffusion model |
| title_short | Diffusion instability in a threevariable reaction-diffusion model |
| title_sort | diffusion instability in a threevariable reaction diffusion model |
| topic | diffusion instability Turing instability wave instability |
| url | http://crm.ics.org.ru/uploads/crmissues/crm_2011_2/11203.pdf |
| work_keys_str_mv | AT mariayurevnaborina diffusioninstabilityinathreevariablereactiondiffusionmodel AT aapolezhaev diffusioninstabilityinathreevariablereactiondiffusionmodel |