Work

Stroboscopic averaging methods to study autoresonance and other problems with slowly varying forcing frequencies

Year: 2025

Type: article

Abstract: Autoresonance is a phenomenon of physical interest that may take place when a nonlinear oscillator is forced at a frequency that varies slowly. The stroboscopic averaging method (SAM), which provides an efficient numerical technique for the integration of highly oscillatory systems, cannot be used directly to study autoresonance due to the slow changes of the forcing frequency. We study how to modify SAM to cater for such slow variations. Numerical experiments show the computational advantages of using SAM.

Source: Applied Numerical Mathematics

DOI: 10.1016/j.apnum.2025.04.004

Authors: M.P. Calvo, J.M. Sanz-Serna, Beibei Zhu

Institutions: Universidad de Valladolid, Universidad Carlos III de Madrid, University of Science and Technology Beijing

Language: English

Topic: Numerical methods for differential equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,000

Funders: China Association for Science and Technology, Ministerio de Ciencia e Innovación, China Academy of Space Technology, Agencia Estatal de Investigación