Centres and Limit Cycles for an Extended Kukles System

  title={Centres and Limit Cycles for an Extended Kukles System},
  author={Noel G. Lloyd and Jane M. Pearson},
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 and the simultaneous bifurcation of limit cycles from them. 

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Properties of a predator-prey model with intratrophic predation, in preparation

  • J. M. Hill, N. G. Lloyd, J. M. Pearson
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1 Excerpt

Bifurcation of limit cycles and integrability of planar dynamical systems in complex form

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Kukles system with two fine foci

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On Cherkas’s method for centre

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2 Excerpts

Schlomiuk; The centers in the reduced Kukles system, Nonlinearity

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1 Excerpt

Computing centre conditions for certain cubic systems

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2 Excerpts

Conditions for a centre and the bifurcation of limit cycles in a class of cubic systems , in Bifurcation and periodic orbits of planar vector fields

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