| Автор | Thompson, J. M. T. |
| Автор | Gaspar, Z. |
| Дата выпуска | 1977 |
| dc.description | AbstractZeeman has drawn attention to the sequences in which catastrophes, or modes of instability, can be linked, and it is a common observation that sequences of catastrophes of low order are always found in the environment of catastrophes of higher order. In this paper, a simple buckling model is presented that generates in an elegant manner a complete sequence of the umbilic catastrophes as represented by the semi-symmetric branching points. The scan of a single fundamental parameter of this model is shown to trace a route through all regimes of the umbilic bracelet, giving in turn the hyperbolic, symbolic, elliptic, parabolic and hyperbolic umbilic catastrophes. |
| Формат | application.pdf |
| Издатель | Cambridge University Press |
| Копирайт | Copyright © Cambridge Philosophical Society 1977 |
| Название | A buckling model for the set of umbilic catastrophes |
| Тип | research-article |
| DOI | 10.1017/S0305004100054165 |
| Electronic ISSN | 1469-8064 |
| Print ISSN | 0305-0041 |
| Журнал | Mathematical Proceedings of the Cambridge Philosophical Society |
| Том | 82 |
| Первая страница | 497 |
| Последняя страница | 507 |
| Аффилиация | Thompson J. M. T.; University College London and the Technical University of Budapest |
| Аффилиация | Gaspar Z.; University College London and the Technical University of Budapest |
| Выпуск | 3 |
