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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

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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 (PhD)
Subjects: Q Science > QA Mathematics
Library of Congress Subject Headings (LCSH): Dynamics, Bifurcation theory
Official Date: December 1985
Dates:
DateEvent
December 1985Submitted
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Publication Status: Unpublished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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