Iteration calculations of periodic solutions to nonlinear jerk equations

作者:Hu, H*; Zheng, M Y; Guo, Y J
来源:Acta Mechanica, 2010, 209(3-4): 269-274.
DOI:10.1007/s00707-009-0179-y

摘要

The Mickens iteration procedure for nonlinear second-order differential equations is used for determining accurate analytical approximate periodic solutions of some third-order (jerk) differential equations with cubic nonlinearities. In the process of the solution, the second-order approximate angular frequency is obtained by Newton's method. A typical example is given to illustrate the effectiveness and simplicity of the proposed method.