Scholarlink

Abstract <p>A class of isochronous oscillatory systems in the plane subject to the influence of combined parametric and external perturbations is considered. It is assumed that the intensity of perturbations decays with time, and the frequency satisfies a resonance condition. The emergence of resonant solutions with infinitely growing amplitude, as well as trajectories tending to the equilibrium of the limiting system, is discussed. The conditions that guarantee the existence and stability of such regimes are described.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Resonance Modes in Isochronous Systems with a Decaying Combined Excitation

  • 期刊论文

  • 发表日期：

    2025年7月1日

查看全文
  • O. A. Sultanov

摘要

Abstract

A class of isochronous oscillatory systems in the plane subject to the influence of combined parametric and external perturbations is considered. It is assumed that the intensity of perturbations decays with time, and the frequency satisfies a resonance condition. The emergence of resonant solutions with infinitely growing amplitude, as well as trajectories tending to the equilibrium of the limiting system, is discussed. The conditions that guarantee the existence and stability of such regimes are described.