Determine the nonlinear transformation which eliminates terms of degree three from the planar system x =

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Determine the nonlinear transformation which eliminates terms of degree three from the planar system

˙ x = λ1x + a30x3 + a21x2y + a12xy2 + a03y3,

˙ y = λ2y + b30x3 + b21x2y + b12xy2 + b03y3, where λ1,2 = 0.

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