| Автор | Armbruster, D. |
| Автор | Dangelmayr, G. |
| Дата выпуска | 1986 |
| dc.description | The steady-state bifurcations near a double-zero eigenvalue of the reaction-diffusion equations associated with a trimolecular chemical reaction (the Brusselator) are analysed for the case of one spatial variable and non-flux boundary conditions. The analysis is based on a previously obtained classification of steady-state mode interactions of codimension two that can occur in non-flux boundary-value problems. All possible codimension-two bifurcations are examined for the coupling of the first two modes. It is also shown that degeneracies of codimension greater than two cannot appear. The structurally stable bifurcation diagrams near a codimension-two bifurcation exhibit a number of non-local phenomena like hysteresis, mode-jumping and bifurcations to time-periodic states. |
| Формат | application.pdf |
| Издатель | Oxford University Press |
| Копирайт | Copyright Taylor and Francis Group, LLC |
| Название | Corank-two Bifurcations for the Brusselator with non-flux boundary conditions |
| Тип | research-article |
| DOI | 10.1080/02681118608806013 |
| Electronic ISSN | 1465-3389 |
| Print ISSN | 0268-1110 |
| Журнал | Dynamics and Stability of Systems |
| Том | 1 |
| Первая страница | 187 |
| Последняя страница | 200 |
| Аффилиация | Armbruster, D.; Instutute for Information Sciences, University of Tuebingen |
| Аффилиация | Dangelmayr, G.; Instutute for Information Sciences, University of Tuebingen |
| Выпуск | 3 |
| Библиографическая ссылка | Armbruster, D. and Dangelmayr, G. 1987. Coupled stationary bifurcations in non-flux boundary value problems. Mathematical Proceedings of the Cambridge Philosophical Society, 10: 167 |
| Библиографическая ссылка | Chow, S. N. and Hale, J. K. 1982. Methods of Bifurcation Theory , Berlin: Springer. |
| Библиографическая ссылка | 1987. Degenerate bifurcations near a double eigenvalue in the Brusselator. Australian Mathematical Society. Applied Mathematics Journal, B28 to appear |
| Библиографическая ссылка | Erneux, Th. and E. O. 1984. Singular secondary bifurcations. SIAM Journal on Applied Mathematics, 44: 463 |
| Библиографическая ссылка | Golubitsky, M. and Langford, W. F. 1981. Classification and unfolding of degenerate Hopf bifurcations. Journal of Differential Equations, 41: 375 |
| Библиографическая ссылка | Golubitsky, M. and D. 1985. Singularities and Groups in Bifurcation Theory, New York: Springer. |
| Библиографическая ссылка | Lefever, R. and Prigogine, I. 1968. The Journal of Chemical Physics, 48: 1695 |
