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Finding Periodic Solution of Differential Equationvia Solving Optimization

FENG Zixuan, XU Xu, JI Shuguan   

  1. College of Mathematics, Jilin University, Changchun 130012, China
  • Received:2008-11-05 Revised:1900-01-01 Online:2009-01-26 Published:2009-01-26
  • Contact: JI Shuguan

Abstract: We gave a new method to find the periodic solution of differential equation. By the idea of Poincaré mapping, the problem of finding the periodic solution of differential equation can be converted into an optimization problem, then adopting the quasiNewton method to solve the corresponding optimization problem, we can find the periodic solution of the differential equation.

Key words: differential equations, periodic solutions, quasiNewton method

CLC Number: 

  • O175.1