The simplest amplitude-period formula for non-conservative oscillators
Ji‐Huan He, Andrés García, GIMAP (Grupo de Investigación en Multifísica Aplicada), Universidad Tecnológica Nacional-FRBB, 11 de Abril 461, Bahia Blanca, Buenos Aires, Argentina
Abstract
The simplest frequency formulation for conservative oscillators was proposed in 2019 (Results Phys 2019;15:102546). However, it becomes invalid for non-conservative oscillators. This work suggests the simplest amplitude-period formulation for non-conservative oscillators. The existence of a periodic solution of a second-order ordinary differential equation is given, and the periodic orbits are easily obtained. To the best of the authors’ knowledge, such a powerful result is not available in the literature, providing a tool to determining periodic orbits/limit cycles in the most general scenario.