Centres and Limit Cycles for an Extended Kukles System
نویسندگان
چکیده
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.
منابع مشابه
Limit Cycles and Invariant Parabolas for an Extended Kukles System
A class of polynomial systems of odd degree with limit cycles, invariant parabolas and invariant straight lines, is examined. The limit cycles can be obtain as a bifurcation of a non hyperbolic focus at the origin as Hopf bifurcations. We will also obtain the necessary and sufficient conditions for the critical point at the interior of bounded region to be a center. 2010 Mathematics Subject Cla...
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