Limit cycles of polynomial differential systems with homogeneous nonlinearities of degree 4 via the averaging method |
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Authors: | Jinlong Cao |
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Institution: | aDepartment of Mathematics, Shanghai Jiaotong University, Shanghai 200240, People's Republic of China |
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Abstract: | By using the averaging method, we study the limit cycles for a class of quartic polynomial differential systems as well as their global shape in the plane. More specifically, we analyze the global shape of limit cycles bifurcating from a Hopf bifurcation and also from periodic orbits with linear center , . The perturbation of these systems is made inside the class of quartic polynomial differential systems without quadratic and cubic terms. |
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Keywords: | Limit cycles Averaging method Liapunov constant Hopf bifurcation |
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