Existence and uniqueness of limit cycles in a class of second order ODE's

TL;DR

This paper establishes conditions for the existence and uniqueness of limit cycles in a specific class of second order ordinary differential equations, including a particular case previously studied.

Contribution

It provides a new proof of limit cycle uniqueness for a class of second order ODEs, extending prior results.

Findings

Proved uniqueness of limit cycles in a class of second order ODEs

Extended previous results to a broader class of equations

Confirmed the uniqueness for a specific previously studied ODE

Abstract

We prove a uniqueness result for limit cycles of a class of second order ODE's. As a special case, we prove limit cycle's uniqueness for an ODE studied in \cite{ETBA}.