| Bifurcation of Limit Cycles from Planar Isochrones Depending on a Small Parameter |
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| Key Words:
bifurcation limit cycles differential equations.
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| Abstract: |
| 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. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.1997.02.032 |
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