Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 143-02. Two limit cycles for quintic Liénard systems
Manuscript map · lines 5185–5194
OpenAI@2026-10-07#rem:oai-p-143-02
Authors: OpenAI. Family 143.
Title: Two limit cycles for quintic Liénard systems.
Abstract: Every classical Liénard system ${}dot x=y-F(x)$, ${}dot y=-x$, with F an arbitrary real polynomial of degree at most five, has at most two geometrically distinct isolated periodic orbits, and the bound is attained. This proves the degree-five case of the Lins Neto–de Melo–Pugh conjecture.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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