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A Complete Classification of Liénard Equation

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2013

Key Words:

Author NameUniversity of Author
Abstract (2. Language): 
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 '(x, t) = ( (x), a.t + (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). 2010 Mathematics Subject Classifications: 47A63, 26A51, 45A90
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  • English

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