A complete Classification of Lienard equation
Keywords:
Li´enard equation, Lie’s symmetries, Characteristic setsAbstract
We consider scalar Liénard equations
¨x(t) = f (x(t))˙x(t)+ g(x(t)), x(t) 2R(1)
and the diffeomorphisms ' : R2!R2 in the form
phi(x, t) = (beta(x), a.t +apha(x))(2)
where the derivative of the function is non zero and where the real number a is non zero. The aim
result of this paper is to study the symmetries in the form given by (2) for the equation (1).
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Published
2013-05-01
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Differential Equations
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How to Cite
A complete Classification of Lienard equation. (2013). European Journal of Pure and Applied Mathematics, 6(2), 126-136. https://ejpam.com/index.php/ejpam/article/view/1099