Oscillators at resonance

Authors

  • David Rojas

Keywords:

oscillator, resonance, perturbation, isochrony

Abstract

An oscillator is isochronous if all motions are periodic with a common period. When the system is forced by a time-dependent periodic perturbation with the same period, the dynamics may change drastically and the phenomenon of resonance can appear. In this article we will study which properties the perturbations must fulfil in order to obtain unbounded solutions. We will consider different oscillators, from harmonic to nonlinear generalizations, and we will set out a number of remarks about the concept of auto-parametric resonance.

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Published

2023-10-10

How to Cite

Rojas, D. (2023). Oscillators at resonance. Butlletí De La Societat Catalana De Matemàtiques, 37(2), 137–172. Retrieved from https://revistes.iec.cat/index.php/BSCM/article/view/150653

Issue

Vol. 37 No. 2 (2022)

Section

Articles

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