A homotopy analysis method for limit cycle of the van der Pol oscillator with delayed amplitude limiting

作者：Eigoli Ali Kamali^*; Khodabakhsh Mohammad

来源：Applied Mathematics and Computation, 2011, 217(22): 9404-9411.

DOI：10.1016/j.amc.2011.04.029

• van der Pol oscillator
• Delayed amplitude limiting
• Limit cycle
• Homotopy analysis method

In this work, a powerful analytical method, called Liao's homotopy analysis method is used to study the limit cycle of a two-dimensional nonlinear dynamical system, namely the van der Pol oscillator with delayed amplitude limiting. It is shown that the solutions are valid for a wide range of variation of the system parameters. Comparison of the obtained solutions with those achieved by numerical solutions and by other perturbation techniques shows that the utilized method is effective and convenient to solve this type of problems with the desired order of approximation.

• 出版日期2011-7-15