J4 ›› 2013, Vol. 51 ›› Issue (02): 229-232.

Previous Articles     Next Articles

LevenbergMarquardt Method to Find |Periodic Solutions of Duffing Equations

JIANG Zhixia, LI Yanzhong, LI Jun, MENG Pinchao, YIN Weishi   

  1. Department of Applied Mathematics, College of Science, Changchun University ofScience and Technology, Changchun 130022, China
  • Received:2012-07-04 Online:2013-03-26 Published:2013-03-27
  • Contact: LI Yanzhong E-mail:lyz@cust.edu.cn

Abstract:

We converted the periodic solution problem of solving differential equations to the unconstrained optimization problem. With the help of  the optimality conditions of unconstrained optimization problem, we applied the LevenbergMarquardt method to finding the periodic solutions of a class of Duffing equations under  restrict resonant conditions.

Key words: differential equation, periodic solution, LevenbergMarquardt method

CLC Number: 

  • O241