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Using techniques from singular perturbations we show that for any n 6 and m 2 there are Lienard equationsf ˙ x = y F(x), ˙ y = G(x)g, with F a polynomial of degree n and G a polynomial of degree m, having at least 2( n 2 2 ) + ( m 2 ) hyperbolic

Slow divergence integrals in generalized Liénard equations near centers