RT info:eu-repo/semantics/article T1 Stroboscopic averaging methods to study autoresonance and other problems with slowly varying forcing frequencies A1 Calvo Cabrero, María Paz A1 Sanz Serna, Jesús María A1 Zhu, Beibei K1 Stroboscopic Averaging Method (SAM) K1 Autoresonance K1 12 Matemáticas AB Autoresonance is a phenomenon of physical interest that may take place when a nonlinear oscillator is forced at a frequency that varies slowly. Thestroboscopic averaging method (SAM), which provides an efficient numerical technique for the integration of highly oscillatory systems, cannotbe used directly to study autoresonance due to the slow changes of the forcing frequency. We study how to modify SAM to cater for such slowvariations. Numerical experiments show the computational advantages of using SA PB Elsevier SN 0168-9274 YR 2025 FD 2025 LK https://uvadoc.uva.es/handle/10324/76020 UL https://uvadoc.uva.es/handle/10324/76020 LA eng NO Applied Numerical Mathematics, 2025, vol. 215, p. 15-24 NO Producción Científica DS UVaDOC RD 21-jun-2025