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

publication date

  • September 2025

start page

  • 15

end page

  • 24

volume

  • 215

International Standard Serial Number (ISSN)

  • 0168-9274

Electronic International Standard Serial Number (EISSN)

  • 1873-5460

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.

subjects

  • Mathematics