| Автор | Glendinning, Paul |
| Дата выпуска | 1987 |
| dc.description | The local bifurcation structure of a codimension-two global bifurcation is described. Chaotic behaviour is generated by infinite sequences of homoclinic bifurcations in a neighbourhood of the codimension-two point and some metric properties of these sequences are given together with scaling results for the topological entropy of a related return map. The bifurcation described is applicable to asymmetric perturbations of the Lorenz equations. |
| Формат | application.pdf |
| Издатель | Oxford University Press |
| Копирайт | Copyright Taylor and Francis Group, LLC |
| Название | Asymmetric perturbations of Lorenz-like equations |
| Тип | research-article |
| DOI | 10.1080/02681118708806026 |
| Electronic ISSN | 1465-3389 |
| Print ISSN | 0268-1110 |
| Журнал | Dynamics and Stability of Systems |
| Том | 2 |
| Первая страница | 43 |
| Последняя страница | 53 |
| Аффилиация | Glendinning, Paul; Mathematics Institute, University of Warwick |
| Выпуск | 1 |
| Библиографическая ссылка | Afraimovich, V.S., Bykov, V.V. and Shil'nikov, L. P. 1982. On structurally unstable attracting limit sets of Lorenz attractor type. . Transactions of the Moscow Mathematical Society, 44: 153–216. |
| Библиографическая ссылка | Afraimovich, V. S. and Shil'nikov, L. P. 1983. “On strange attractors and quasi-attractors”. In Nonlinear Dynamics and Turbulence, Edited by: Barenblatt, G. I. and Joseph, D. D. London: Pitman. |
| Библиографическая ссылка | Block , L., Guckenheimer, J., Misiurewicz, M. and Young, L.S. 1980. “Periodic points and topological entropy of one dimensional maps”. In Global Theory of Dynamical Systems, Edited by: Nitecki, Z. and Robinson, C. Vol. 819, Berlin: Springer. Lecture Notes in Mathematics |
| Библиографическая ссылка | Gambaudo, J. M, Glendinning, P., Rand, D and Tresser, C. 1986. “The gluing bifurcation III: stable foliations and periodic orbits”. Université de Nice.. Preprint |
| Библиографическая ссылка | Glendinning, P. “Homoclinic bifurcations. dissertation”. |
| Библиографическая ссылка | Glendinning, P. and Sparrow, C. “The locally eventually onto property of Lorenz maps”. University of Warwick.. Preprint |
| Библиографическая ссылка | Lorenz, E.N. 1963. Deterministic non-periodic flows. Journal of the Atmospheric, 20: 130–141. |
| Библиографическая ссылка | Lyubimov, Y. and Zaks, M.A. 1983. Two mechanisms of the transition to chaos in finite-dimensional models of convection. Physica, D9: 52–64. |
| Библиографическая ссылка | Rand, D. 1978. The topological classification of Lorenz attractors. Mathematical Proceedings of the Cambridge Philosophical Society, 83: 451–460. |
| Библиографическая ссылка | Robinson, C. 1980,1981. “Differentiability of the stable foliation for the model Lorenz equation. ”. In Dynamical Systems and Turbulence, Warwick, Edited by: Rand, D and Young, L. S. Vol. 898, Berlin: Springer. Lecture Notes in Mathematics |
| Библиографическая ссылка | Sparrow, C. “Applied Mathematical Sciences”. In The Lorenz Equations: Bifurcations, Chaos and Strange Attractors |
| Библиографическая ссылка | Tresser, C. 1984. About some theorems by L. P. Sil'nikov. Annals de l'Institut Henri Poincaré, 40: 441–461. |
| Библиографическая ссылка | Williams, R.F. 1979. The Structure of Lorenz Attractors, Vol. 50, 73–100. Paris: Institut des Hautes Etudes Scientifiques. Publications Mathematiques |
