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• W2057719662 abstract "We give an upper bound for the maximum number N of algebraic limit cycles that a planar polynomial vector field of degree n can exhibit if the vector field has exactly k nonsingular irreducible invariant algebraic curves. Additionally we provide sufficient conditions in order that all the algebraic limit cycles are hyperbolic. We also provide lower bounds for N." @default.
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• W2057719662 date "2011-01-01" @default.
• W2057719662 modified "2023-10-15" @default.
• W2057719662 title "On the 16th Hilbert problem for limit cycles on nonsingular algebraic curves" @default.
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• W2057719662 doi "https://doi.org/10.1016/j.jde.2010.06.009" @default.
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