Limit Cycles of a Class of Polynomial Differential Systems Bifurcating from the Periodic Orbits of a Linear Center
Amor Menaceur, Salah Boulaaras, Salem Alkhalaf, Shilpi Jain
Abstract
In this paper, we study the number of limit cycles of a new class of polynomial differential systems, which is an extended work of two families of differential systems in systems considered earlier. We obtain the maximum number of limit cycles that bifurcate from the periodic orbits of a center using the averaging theory of first and second order.
Topics & Concepts
Periodic orbitsMathematicsLimit (mathematics)Center (category theory)Limit cycleDifferential (mechanical device)Class (philosophy)Mathematical analysisPolynomialPhysicsComputer scienceArtificial intelligenceChemistryCrystallographyThermodynamicsAdvanced Differential Equations and Dynamical SystemsQuantum chaos and dynamical systems