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Limit Cycles in a General Nonlinear Oscillation |
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Department
of Mathematics |
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Abstract:
Theorems on the existence and
uniqueness of limit cycles in the general nonlinear oscillation have been
studied. The conditions that
guarantee the uniqueness of limit cycles here are different from all the
previous results. Several
examples are given to illustrate that the theorems are easy to be employed,
and they are useful in the discussion of limit cycles in quadratic
differential equations and ecological systems. Keywords: limit cycles; Liénard equation; nonlinear oscillation; ecological
systems. |
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