Publication | Open Access
CENTRES AND LIMIT CYCLES FOR AN EXTENDED KUKLES SYSTEM
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Citations
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References
2007
Year
EngineeringNumerical SimulationMechanical SystemsCubic SystemsCentre ConditionsFluid MachinerySimultaneous BifurcationGeometric Singular Perturbation TheoryBifurcation TheoryPerformance CharacterizationHydraulicsExtended Kukles SystemNonlinear OscillationStability
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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