Method for Constructing Periodic Solutions
of Nonlinear Differential Equations
摘要
Abstract
We justify an analytical method for constructing periodic solutions of nonlinear systems ofordinary differential equations of polynomial type. Periodic solutions are constructed in the formof Fourier series in which the coefficients are polynomials depending on a parameter, which is notassumed to be small. Two examples are considered: the van der Pol equation and the Lorenzsystem.