Browsing Mathematics and Physics by Author "Pearson, Jane M."

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Browsing Mathematics and Physics by Author "Pearson, Jane M."

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  • Lloyd, Noel G.; Pearson, Jane M.; Hill, Joe M. (2007-07-01)
    This paper is concerned with obtaining the conditions under which the origin is an isochronous centre for certain planar polynomial systems. The necessity of these conditions is proved using a computer implementation of ...
  • Hill, Joe M.; Lloyd, Noel G.; Pearson, Jane M. (2007)
    We present conditions for the origin to be a centre for a class of cubic systems. Some of the centre conditions are determined by finding complicated invariant functions. We also investigate the coexistence of fine foci ...
  • Hill, Joe M.; Lloyd, Noel G.; Pearson, Jane M. (2008)
    We present some properties of a differential system that can be used to model intratrophic predation in simple predator-prey models. In particular, for the model we determine the maximum number of limit cycles that can ...
  • Lloyd, Noel G.; Pearson, Jane M. (2007)
    We describe an approach to the computation of symbolic resultants in which factors are removed during the course of the calculation, so reducing the stack size required for intermediate expressions and the storage space ...

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