An open problem on the optimality of an asymptotic solution to Duffing's nonlinear oscillation problem

作者：Liang, Songxin^*; Liu, Sijia

来源：Communications in Nonlinear Science & Numerical Simulation, 2014, 19(12): 4189-4195.

DOI：10.1016/j.cnsns.2014.05.001

• Asymptotic solution
• Nonlinear oscillation
• Homotopy analysis method
• Renormalization group method

Based on the renormalization group method, Kirkinis (2012) [8] obtained an asymptotic solution to Duffing's nonlinear oscillation problem. Kirkinis then asked if the asymptotic solution is optimal. In this paper, an affirmative answer to the open problem is given by means of the homotopy analysis method.

• 出版日期2014-12
• 单位大连理工大学