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Blow-up method to compute necessary conditions of integrability for planar differential systems
Ferčec, Brigita ; Giné, Jaume
We provide a method to compute the necessary conditions of integrability for planar dif- ferential systems with a weak saddle at the origin. The method is used to characterize the local analytic ...integrability for resonant saddles of complex systems of the form % x = px, and % y = %y + f(y ) x, 0 % = p % N , with f analytic at the origin and with f(0) = 0 .
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