Periodic solutions of Abel differential equations |
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Authors: | MAM Alwash |
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Institution: | Department of Mathematics, West Los Angeles College, 9000 Overland Avenue, Los Angeles, CA 90230-3519, USA |
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Abstract: | For a class of polynomial non-autonomous differential equations of degree n, we use phase plane analysis to show that each equation in this class has n periodic solutions. The result implies that certain rigid two-dimensional systems have at most one limit cycle which appears through multiple Hopf bifurcation. |
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Keywords: | Periodic solution Abel differential equation Rigid system Limit cycle Hopf bifurcation |
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