Limit Cycles of a Class of Perturbed Differential Systems via the First‐Order Averaging Method
Amor Menaceur, Salah Boulaaras, Amar Makhlouf, Karthikeyan Rajagobal, Mohamed Abdalla
Abstract
By means of the averaging method of the first order, we introduce the maximum number of limit cycles which can be bifurcated from the periodic orbits of a Hamiltonian system. Besides, the perturbation has been used for a particular class of the polynomial differential systems.
Topics & Concepts
Perturbation (astronomy)MathematicsLimit (mathematics)Periodic orbitsClass (philosophy)Hamiltonian systemFirst orderApplied mathematicsLimit cycleHamiltonian (control theory)Differential (mechanical device)Mathematical analysisPhysicsComputer scienceMathematical optimizationQuantum mechanicsArtificial intelligenceThermodynamicsAdvanced Differential Equations and Dynamical SystemsQuantum chaos and dynamical systems