首页|Stroboscopic averaging methods to study autoresonance and other problems with slowly varying forcing frequencies
Stroboscopic averaging methods to study autoresonance and other problems with slowly varying forcing frequencies
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NSTL
Elsevier
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.
M.P. Calvo、J.M. Sanz-Serna、Beibei Zhu
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Departamento de Matematica Aplicada e IMUVA, Facultad de Ciencias, Universidad de Valladolid, 47011-Valladolid, Spain
Departamento de Matematicas, Universidad Carlos Ⅲ de Madrid, Avenida de la Universidad 30, E-28911 Leganes (Madrid), Spain
Department of Applied Mathematics, School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, People's Republic of China
NETL
NSTL
Elsevier
