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In mathematics, more specifically in the study of dynamical systems and differential equations, a Liénard equation〔Liénard, A. (1928) "Etude des oscillations entretenues," ''Revue générale de l'électricité'' 23, pp. 901–912 and 946–954.〕 is a second order differential equation, named after the French physicist Alfred-Marie Liénard. During the development of radio and vacuum tube technology, Liénard equations were intensely studied as they can be used to model oscillating circuits. Under certain additional assumptions Liénard's theorem guarantees the uniqueness and existence of a limit cycle for such a system. ==Definition== Let ''f'' and ''g'' be two continuously differentiable functions on R, with ''g'' an odd function and ''f'' an even function. Then the second order ordinary differential equation of the form : is called the Liénard equation. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Liénard equation」の詳細全文を読む スポンサード リンク
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