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Abstract
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This paper is a study of one of themost beautiful phenomena in dynamical systems
limit cycle. In mathematics, in the study of dynamical systems with two-dimensional phase
space, a limit cycle is a closed trajectory having the property that at least one other trajectory
spirals into it as time approaches either positive or negative infinity. In this paper, existence
and uniqueness of limit cycles for a generalized Liénard system will be studied. Moreover,
some examples will be presented to illustrate our results.
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