Properties of the Dominant Behaviour of Quadratic Systems
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We study the dominant terms of systems of Lotka-Volterra-type which arise in the the mathematical modelling of the evolution of many divers natural systems from the viewpoint of both symmetry and singularity analyses. The connections between an increase in the amount of symmetry possessed by the system and the possession of the Painlev´e Property are noted. For specific values of the parameters of the system we see that possession of the Painlev´e Property is characterised by a Left Painlev´e Series rather than the more standard Right Painlev´e Series.
- © 2006, the Authors. Published by Atlantis Press.
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TY - JOUR AU - A. Maharaj AU - P.G.L Leach PY - 2006 DA - 2006/02/01 TI - Properties of the Dominant Behaviour of Quadratic Systems JO - Journal of Nonlinear Mathematical Physics SP - 129 EP - 144 VL - 13 IS - 1 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2006.13.1.11 DO - 10.2991/jnmp.2006.13.1.11 ID - Maharaj2006 ER -