Bifurcation of Limit Cycles from Planar Isochrones Depending on a Small Parameter
Key Words: bifurcation   limit cycles   differential equations.  
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Author NameAffiliation
Zhou Yicang Dept. of Math.
Xi′an Jiaotong University
Xi′an 710049 
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      In this paper planar vector fields and their periodic trajectories surrounding an isochronous center are perturbed to bifurcate limit cycles. A criterion function is given to determine the number and position of limit cycles which emerge from the periodic trajectories of unperturbed vector fields. A plane quadratic vector field is used to show the advantage of the method presented in this paper.
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