Browsing Mathemateg a Ffiseg / Mathematics & Physics by Author "Hill, Joe M."

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Browsing Mathemateg a Ffiseg / Mathematics & Physics by Author "Hill, Joe 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 ...

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