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Hilbert's 16th problem: limit cycles

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Liénard systems ẋ = y − F(x), ẏ = −x: limit cycles found live via the Poincaré return map. For deg F ≤ 5 there are at most two, and two are attained. Plus a degree-7 preview, the LMP conjecture and the bound H(n). openai/math family 143.

Subject: Open problems, solved by AI

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