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An existence of inequality on a fine focus

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2 Author(s)
Saez, E. ; Dept. de Matematica, Univ. Tecnica Federico Santa Maria, Valparaiso, Chile ; Szanto, I.

It is shown that if in a polynomial vector field of degree n on the plane the critical point at the origin is a fine focus of order k, and if the Hopf bifurcation does not appear, then there exists an inequality between three consecutive derivatives of the Poincare maps

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Circuits and Systems, IEEE Transactions on  (Volume:37 ,  Issue: 5 )