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The stability of codimension one bifurcations of the planar replicator equations
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Edalat, A. (Abbas) (1985) The stability of codimension one bifurcations of the planar replicator equations. PhD thesis, University of Warwick.
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Official URL: http://webcat.warwick.ac.uk/record=b1445846~S15
Abstract
In this thesis three main original results are obtained:
(i) The codimension one bifurcations of the planar replicatorsystem have been determined and classified by proving stability (miniversality) [proposition 2.3. and theorems 4.5, 6.3, 6.7,and 6.10].
(ii) The codimension two bifurcations (of the planar replicator system) have been determined, without however proving the stability (miniversality) [proposition 7.1].
(iii) The conjugacy classes of certain families of maps of intervals have been determined [Theorem 5.2], and the equivalence of certain families of vector fields has been established. [Theorem 5.6.].
| Item Type: | Thesis or Dissertation (PhD) | ||||
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| Subjects: | Q Science > QA Mathematics | ||||
| Library of Congress Subject Headings (LCSH): | Dynamics, Bifurcation theory | ||||
| Official Date: | December 1985 | ||||
| Dates: |
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| Institution: | University of Warwick | ||||
| Theses Department: | Mathematics Institute | ||||
| Thesis Type: | PhD | ||||
| Publication Status: | Unpublished | ||||
| Supervisor(s)/Advisor: | Zeeman, E. C. (Erik Christopher) | ||||
| Extent: | viii, 117 leaves : illustrations | ||||
| Language: | eng |
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