17 research outputs found

    Algebraic invariant curves for the Liénard equation

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    Centers of reversible cubic perturbations of the symmetric 8-loop Hamiltonian

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    Planar nonautonomous polynomial equations II : coinciding sectors

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    AbstractWe give a few sufficient conditions for the existence of periodic solutions of the equation z˙=∑j=0naj(t)zj where aj's are complex-valued. We prove the existence of one up to two periodic solutions and heteroclinic ones
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